id sid tid token lemma pos ajst-19146 1 1 academic academic ADJ ajst-19146 1 2 journal journal NOUN ajst-19146 1 3 of of ADP ajst-19146 1 4 science science NOUN ajst-19146 1 5 and and CCONJ ajst-19146 1 6 technology technology NOUN ajst-19146 1 7 issn issn NOUN ajst-19146 1 8 : : PUNCT ajst-19146 1 9 2771 2771 NUM ajst-19146 1 10 - - SYM ajst-19146 1 11 3032 3032 NUM ajst-19146 1 12 | | NOUN ajst-19146 1 13 vol vol NOUN ajst-19146 1 14 . . PROPN ajst-19146 2 1 10 10 NUM ajst-19146 2 2 , , PUNCT ajst-19146 2 3 no no INTJ ajst-19146 2 4 . . NOUN ajst-19146 2 5 1 1 NUM ajst-19146 2 6 , , PUNCT ajst-19146 2 7 2024 2024 NUM ajst-19146 2 8 56 56 NUM ajst-19146 2 9 rainbow rainbow NOUN ajst-19146 2 10 capture capture NOUN ajst-19146 2 11 based base VERB ajst-19146 2 12 on on ADP ajst-19146 2 13 underwater underwater ADJ ajst-19146 2 14 gradient gradient ADJ ajst-19146 2 15 phononic phononic ADJ ajst-19146 2 16 crystals crystal NOUN ajst-19146 2 17 jialin jialin PROPN ajst-19146 2 18 zhong zhong PROPN ajst-19146 2 19 school school PROPN ajst-19146 2 20 of of ADP ajst-19146 2 21 physics physics NOUN ajst-19146 2 22 and and CCONJ ajst-19146 2 23 optoelectronic optoelectronic ADJ ajst-19146 2 24 engineering engineering NOUN ajst-19146 2 25 , , PUNCT ajst-19146 2 26 guangdong guangdong PROPN ajst-19146 2 27 university university PROPN ajst-19146 2 28 of of ADP ajst-19146 2 29 technology technology PROPN ajst-19146 2 30 , , PUNCT ajst-19146 2 31 guangzhou guangzhou PROPN ajst-19146 2 32 510006 510006 NUM ajst-19146 2 33 , , PUNCT ajst-19146 2 34 people people NOUN ajst-19146 2 35 ’s ’s PART ajst-19146 2 36 republic republic PROPN ajst-19146 2 37 of of ADP ajst-19146 2 38 china china PROPN ajst-19146 2 39 abstract abstract PROPN ajst-19146 2 40 : : PUNCT ajst-19146 2 41 waves wave NOUN ajst-19146 2 42 of of ADP ajst-19146 2 43 different different ADJ ajst-19146 2 44 frequencies frequency NOUN ajst-19146 2 45 are be AUX ajst-19146 2 46 located locate VERB ajst-19146 2 47 and and CCONJ ajst-19146 2 48 captured capture VERB ajst-19146 2 49 at at ADP ajst-19146 2 50 different different ADJ ajst-19146 2 51 positions position NOUN ajst-19146 2 52 , , PUNCT ajst-19146 2 53 giving give VERB ajst-19146 2 54 rainbow rainbow NOUN ajst-19146 2 55 capture capture VERB ajst-19146 2 56 a a DET ajst-19146 2 57 wide wide ADJ ajst-19146 2 58 range range NOUN ajst-19146 2 59 of of ADP ajst-19146 2 60 potential potential ADJ ajst-19146 2 61 applications application NOUN ajst-19146 2 62 in in ADP ajst-19146 2 63 filtering filtering NOUN ajst-19146 2 64 , , PUNCT ajst-19146 2 65 buffering buffering NOUN ajst-19146 2 66 , , PUNCT ajst-19146 2 67 energy energy NOUN ajst-19146 2 68 collection collection NOUN ajst-19146 2 69 , , PUNCT ajst-19146 2 70 and and CCONJ ajst-19146 2 71 other other ADJ ajst-19146 2 72 fields field NOUN ajst-19146 2 73 . . PUNCT ajst-19146 3 1 in in ADP ajst-19146 3 2 this this DET ajst-19146 3 3 paper paper NOUN ajst-19146 3 4 , , PUNCT ajst-19146 3 5 we we PRON ajst-19146 3 6 design design VERB ajst-19146 3 7 a a DET ajst-19146 3 8 rainbow rainbow NOUN ajst-19146 3 9 capture capture NOUN ajst-19146 3 10 structure structure NOUN ajst-19146 3 11 based base VERB ajst-19146 3 12 on on ADP ajst-19146 3 13 gradient gradient ADJ ajst-19146 3 14 phonon phonon NOUN ajst-19146 3 15 crystals crystal NOUN ajst-19146 3 16 . . PUNCT ajst-19146 4 1 the the DET ajst-19146 4 2 edge edge NOUN ajst-19146 4 3 states state NOUN ajst-19146 4 4 change change VERB ajst-19146 4 5 due due ADP ajst-19146 4 6 to to ADP ajst-19146 4 7 the the DET ajst-19146 4 8 different different ADJ ajst-19146 4 9 structural structural ADJ ajst-19146 4 10 parameters parameter NOUN ajst-19146 4 11 . . PUNCT ajst-19146 5 1 by by ADP ajst-19146 5 2 designing design VERB ajst-19146 5 3 a a DET ajst-19146 5 4 gradient gradient ADJ ajst-19146 5 5 structure structure NOUN ajst-19146 5 6 , , PUNCT ajst-19146 5 7 the the DET ajst-19146 5 8 sound sound ADJ ajst-19146 5 9 waves wave NOUN ajst-19146 5 10 of of ADP ajst-19146 5 11 different different ADJ ajst-19146 5 12 frequencies frequency NOUN ajst-19146 5 13 are be AUX ajst-19146 5 14 separated separate VERB ajst-19146 5 15 and and CCONJ ajst-19146 5 16 trapped trap VERB ajst-19146 5 17 at at ADP ajst-19146 5 18 different different ADJ ajst-19146 5 19 boundary boundary ADJ ajst-19146 5 20 positions position NOUN ajst-19146 5 21 to to PART ajst-19146 5 22 form form VERB ajst-19146 5 23 the the DET ajst-19146 5 24 acoustic acoustic ADJ ajst-19146 5 25 rainbow rainbow NOUN ajst-19146 5 26 effect effect NOUN ajst-19146 5 27 . . PUNCT ajst-19146 6 1 incident incident NOUN ajst-19146 6 2 waves wave NOUN ajst-19146 6 3 from from ADP ajst-19146 6 4 different different ADJ ajst-19146 6 5 directions direction NOUN ajst-19146 6 6 produce produce VERB ajst-19146 6 7 significantly significantly ADV ajst-19146 6 8 distinct distinct ADJ ajst-19146 6 9 rainbow rainbow NOUN ajst-19146 6 10 trapping trap VERB ajst-19146 6 11 effect effect NOUN ajst-19146 6 12 . . PUNCT ajst-19146 7 1 the the DET ajst-19146 7 2 distance distance NOUN ajst-19146 7 3 sound sound NOUN ajst-19146 7 4 propagates propagate VERB ajst-19146 7 5 when when SCONJ ajst-19146 7 6 excited excited ADJ ajst-19146 7 7 from from ADP ajst-19146 7 8 the the DET ajst-19146 7 9 left left NOUN ajst-19146 7 10 is be AUX ajst-19146 7 11 increasingly increasingly ADV ajst-19146 7 12 further far ADV ajst-19146 7 13 , , PUNCT ajst-19146 7 14 while while SCONJ ajst-19146 7 15 the the DET ajst-19146 7 16 distance distance NOUN ajst-19146 7 17 when when SCONJ ajst-19146 7 18 excited excited ADJ ajst-19146 7 19 from from ADP ajst-19146 7 20 the the DET ajst-19146 7 21 right right NOUN ajst-19146 7 22 is be AUX ajst-19146 7 23 increasingly increasingly ADV ajst-19146 7 24 shorter short ADJ ajst-19146 7 25 . . PUNCT ajst-19146 8 1 besides besides SCONJ ajst-19146 8 2 , , PUNCT ajst-19146 8 3 the the DET ajst-19146 8 4 symmetrical symmetrical ADJ ajst-19146 8 5 rainbow rainbow NOUN ajst-19146 8 6 effect effect NOUN ajst-19146 8 7 has have AUX ajst-19146 8 8 also also ADV ajst-19146 8 9 been be AUX ajst-19146 8 10 demonstrated demonstrate VERB ajst-19146 8 11 in in ADP ajst-19146 8 12 symmetrical symmetrical ADJ ajst-19146 8 13 gradient gradient NOUN ajst-19146 8 14 phonon phonon NOUN ajst-19146 8 15 crystals crystal NOUN ajst-19146 8 16 . . PUNCT ajst-19146 9 1 this this DET ajst-19146 9 2 work work NOUN ajst-19146 9 3 provides provide VERB ajst-19146 9 4 a a DET ajst-19146 9 5 theoretical theoretical ADJ ajst-19146 9 6 reference reference NOUN ajst-19146 9 7 for for ADP ajst-19146 9 8 achieving achieve VERB ajst-19146 9 9 diverse diverse ADJ ajst-19146 9 10 multiwavelength multiwavelength NOUN ajst-19146 9 11 devices device NOUN ajst-19146 9 12 in in ADP ajst-19146 9 13 acoustic acoustic ADJ ajst-19146 9 14 systems system NOUN ajst-19146 9 15 . . PUNCT ajst-19146 10 1 keywords keyword NOUN ajst-19146 10 2 : : PUNCT ajst-19146 10 3 edge edge NOUN ajst-19146 10 4 states state NOUN ajst-19146 10 5 ; ; PUNCT ajst-19146 10 6 rainbow rainbow NOUN ajst-19146 10 7 trapping trapping NOUN ajst-19146 10 8 ; ; PUNCT ajst-19146 10 9 phononic phononic ADJ ajst-19146 10 10 crystal crystal NOUN ajst-19146 10 11 ; ; PUNCT ajst-19146 10 12 underwater underwater ADJ ajst-19146 10 13 structure structure NOUN ajst-19146 10 14 . . PUNCT ajst-19146 11 1 1 1 X ajst-19146 11 2 . . X ajst-19146 11 3 introduction introduction NOUN ajst-19146 11 4 in in ADP ajst-19146 11 5 recent recent ADJ ajst-19146 11 6 years year NOUN ajst-19146 11 7 , , PUNCT ajst-19146 11 8 acoustic acoustic ADJ ajst-19146 11 9 artificial artificial ADJ ajst-19146 11 10 microstructures microstructure NOUN ajst-19146 11 11 , , PUNCT ajst-19146 11 12 such such ADJ ajst-19146 11 13 as as ADP ajst-19146 11 14 phonon phonon NOUN ajst-19146 11 15 crystals crystal NOUN ajst-19146 11 16 and and CCONJ ajst-19146 11 17 acoustic acoustic ADJ ajst-19146 11 18 metamaterials metamaterial NOUN ajst-19146 11 19 , , PUNCT ajst-19146 11 20 have have AUX ajst-19146 11 21 been be AUX ajst-19146 11 22 extensively extensively ADV ajst-19146 11 23 studied study VERB ajst-19146 11 24 for for ADP ajst-19146 11 25 their their PRON ajst-19146 11 26 superior superior ADJ ajst-19146 11 27 acoustic acoustic ADJ ajst-19146 11 28 control control NOUN ajst-19146 11 29 characteristics characteristic NOUN ajst-19146 11 30 and and CCONJ ajst-19146 11 31 advanced advanced ADJ ajst-19146 11 32 mechanical mechanical ADJ ajst-19146 11 33 properties property NOUN ajst-19146 11 34 , , PUNCT ajst-19146 11 35 and and CCONJ ajst-19146 11 36 a a DET ajst-19146 11 37 lot lot NOUN ajst-19146 11 38 of of ADP ajst-19146 11 39 breakthrough breakthrough NOUN ajst-19146 11 40 achievements achievement NOUN ajst-19146 11 41 have have AUX ajst-19146 11 42 been be AUX ajst-19146 11 43 made make VERB ajst-19146 11 44 in in ADP ajst-19146 11 45 vibration vibration NOUN ajst-19146 11 46 and and CCONJ ajst-19146 11 47 noise noise NOUN ajst-19146 11 48 control[1 control[1 PROPN ajst-19146 11 49 ] ] NOUN ajst-19146 11 50 , , PUNCT ajst-19146 11 51 sound sound ADJ ajst-19146 11 52 absorption absorption NOUN ajst-19146 11 53 and and CCONJ ajst-19146 11 54 insulation[2,3 insulation[2,3 PROPN ajst-19146 11 55 ] ] X ajst-19146 11 56 , , PUNCT ajst-19146 11 57 sound sound VERB ajst-19146 11 58 sensors[4 sensors[4 PROPN ajst-19146 11 59 ] ] PUNCT ajst-19146 11 60 , , PUNCT ajst-19146 11 61 topological topological ADJ ajst-19146 11 62 sound[5 sound[5 NOUN ajst-19146 11 63 ] ] PUNCT ajst-19146 11 64 and and CCONJ ajst-19146 11 65 sound sound ADJ ajst-19146 11 66 waveguides[6 waveguides[6 NOUN ajst-19146 11 67 ] ] PUNCT ajst-19146 11 68 . . PUNCT ajst-19146 12 1 similar similar ADJ ajst-19146 12 2 to to ADP ajst-19146 12 3 photonic photonic ADJ ajst-19146 12 4 crystals crystal NOUN ajst-19146 12 5 , , PUNCT ajst-19146 12 6 the the DET ajst-19146 12 7 most most ADV ajst-19146 12 8 important important ADJ ajst-19146 12 9 property property NOUN ajst-19146 12 10 of of ADP ajst-19146 12 11 phonon phonon NOUN ajst-19146 12 12 crystals crystal NOUN ajst-19146 12 13 is be AUX ajst-19146 12 14 the the DET ajst-19146 12 15 presence presence NOUN ajst-19146 12 16 of of ADP ajst-19146 12 17 the the DET ajst-19146 12 18 elastic elastic ADJ ajst-19146 12 19 band band NOUN ajst-19146 12 20 gap gap NOUN ajst-19146 12 21 . . PUNCT ajst-19146 13 1 the the DET ajst-19146 13 2 transmission transmission NOUN ajst-19146 13 3 of of ADP ajst-19146 13 4 elastic elastic ADJ ajst-19146 13 5 or or CCONJ ajst-19146 13 6 acoustic acoustic ADJ ajst-19146 13 7 waves wave NOUN ajst-19146 13 8 within within ADP ajst-19146 13 9 the the DET ajst-19146 13 10 band band NOUN ajst-19146 13 11 gap gap NOUN ajst-19146 13 12 will will AUX ajst-19146 13 13 be be AUX ajst-19146 13 14 prohibited.[7,8 prohibited.[7,8 PROPN ajst-19146 13 15 ] ] PUNCT ajst-19146 13 16 phonon phonon NOUN ajst-19146 13 17 crystals crystal NOUN ajst-19146 13 18 have have VERB ajst-19146 13 19 a a DET ajst-19146 13 20 very very ADV ajst-19146 13 21 broad broad ADJ ajst-19146 13 22 application application NOUN ajst-19146 13 23 prospect prospect NOUN ajst-19146 13 24 and and CCONJ ajst-19146 13 25 can can AUX ajst-19146 13 26 be be AUX ajst-19146 13 27 used use VERB ajst-19146 13 28 in in ADP ajst-19146 13 29 the the DET ajst-19146 13 30 design design NOUN ajst-19146 13 31 and and CCONJ ajst-19146 13 32 manufacture manufacture NOUN ajst-19146 13 33 of of ADP ajst-19146 13 34 various various ADJ ajst-19146 13 35 acoustic acoustic ADJ ajst-19146 13 36 devices device NOUN ajst-19146 13 37 and and CCONJ ajst-19146 13 38 systems system NOUN ajst-19146 13 39 , , PUNCT ajst-19146 13 40 such such ADJ ajst-19146 13 41 as as ADP ajst-19146 13 42 acoustic acoustic ADJ ajst-19146 13 43 lenses[9 lenses[9 PROPN ajst-19146 13 44 ] ] PUNCT ajst-19146 13 45 , , PUNCT ajst-19146 13 46 acoustic acoustic ADJ ajst-19146 13 47 cloaks[10 cloaks[10 NOUN ajst-19146 13 48 ] ] PUNCT ajst-19146 13 49 , , PUNCT ajst-19146 13 50 acoustic acoustic ADJ ajst-19146 13 51 isolators[11 isolators[11 ADP ajst-19146 13 52 ] ] PUNCT ajst-19146 13 53 , , PUNCT ajst-19146 13 54 acoustic acoustic ADJ ajst-19146 13 55 logic logic NOUN ajst-19146 13 56 gates[12 gates[12 NOUN ajst-19146 13 57 ] ] PUNCT ajst-19146 13 58 , , PUNCT ajst-19146 13 59 acoustic acoustic ADJ ajst-19146 13 60 sensors[13 sensors[13 PROPN ajst-19146 13 61 ] ] PUNCT ajst-19146 13 62 , , PUNCT ajst-19146 13 63 acoustic acoustic ADJ ajst-19146 13 64 waveguides[14 waveguides[14 PROPN ajst-19146 13 65 ] ] PUNCT ajst-19146 13 66 , , PUNCT ajst-19146 13 67 etc etc X ajst-19146 13 68 . . X ajst-19146 14 1 phonon phonon NOUN ajst-19146 14 2 crystals crystal NOUN ajst-19146 14 3 can can AUX ajst-19146 14 4 also also ADV ajst-19146 14 5 be be AUX ajst-19146 14 6 combined combine VERB ajst-19146 14 7 with with ADP ajst-19146 14 8 research research NOUN ajst-19146 14 9 in in ADP ajst-19146 14 10 other other ADJ ajst-19146 14 11 fields field NOUN ajst-19146 14 12 , , PUNCT ajst-19146 14 13 such such ADJ ajst-19146 14 14 as as ADP ajst-19146 14 15 topological topological ADJ ajst-19146 14 16 properties[15 properties[15 NOUN ajst-19146 14 17 ] ] PUNCT ajst-19146 14 18 , , PUNCT ajst-19146 14 19 nonlinear nonlinear ADJ ajst-19146 14 20 effects[16 effects[16 NOUN ajst-19146 14 21 ] ] X ajst-19146 14 22 , , PUNCT ajst-19146 14 23 controllability[17 controllability[17 NOUN ajst-19146 14 24 ] ] PUNCT ajst-19146 14 25 , , PUNCT ajst-19146 14 26 etc etc X ajst-19146 14 27 . . X ajst-19146 14 28 , , PUNCT ajst-19146 14 29 to to PART ajst-19146 14 30 generate generate VERB ajst-19146 14 31 new new ADJ ajst-19146 14 32 acoustic acoustic ADJ ajst-19146 14 33 effects effect NOUN ajst-19146 14 34 and and CCONJ ajst-19146 14 35 functions function NOUN ajst-19146 14 36 , , PUNCT ajst-19146 14 37 providing provide VERB ajst-19146 14 38 new new ADJ ajst-19146 14 39 solutions solution NOUN ajst-19146 14 40 and and CCONJ ajst-19146 14 41 services service NOUN ajst-19146 14 42 for for ADP ajst-19146 14 43 technological technological ADJ ajst-19146 14 44 advances advance NOUN ajst-19146 14 45 and and CCONJ ajst-19146 14 46 social social ADJ ajst-19146 14 47 needs need NOUN ajst-19146 14 48 in in ADP ajst-19146 14 49 the the DET ajst-19146 14 50 field field NOUN ajst-19146 14 51 of of ADP ajst-19146 14 52 acoustics acoustic NOUN ajst-19146 14 53 . . PUNCT ajst-19146 15 1 the the DET ajst-19146 15 2 rainbow rainbow NOUN ajst-19146 15 3 effect effect NOUN ajst-19146 15 4 refers refer VERB ajst-19146 15 5 to to ADP ajst-19146 15 6 the the DET ajst-19146 15 7 use use NOUN ajst-19146 15 8 of of ADP ajst-19146 15 9 material material NOUN ajst-19146 15 10 or or CCONJ ajst-19146 15 11 structure structure NOUN ajst-19146 15 12 dispersion dispersion NOUN ajst-19146 15 13 to to PART ajst-19146 15 14 slow slow VERB ajst-19146 15 15 down down ADP ajst-19146 15 16 the the DET ajst-19146 15 17 waves wave NOUN ajst-19146 15 18 speed speed NOUN ajst-19146 15 19 and and CCONJ ajst-19146 15 20 eventually eventually ADV ajst-19146 15 21 the the DET ajst-19146 15 22 waves wave NOUN ajst-19146 15 23 of of ADP ajst-19146 15 24 different different ADJ ajst-19146 15 25 frequencies frequency NOUN ajst-19146 15 26 stop stop VERB ajst-19146 15 27 at at ADP ajst-19146 15 28 different different ADJ ajst-19146 15 29 locations location NOUN ajst-19146 15 30 , , PUNCT ajst-19146 15 31 resulting result VERB ajst-19146 15 32 in in ADP ajst-19146 15 33 the the DET ajst-19146 15 34 waves wave NOUN ajst-19146 15 35 of of ADP ajst-19146 15 36 different different ADJ ajst-19146 15 37 frequencies frequency NOUN ajst-19146 15 38 being be AUX ajst-19146 15 39 separated separate VERB ajst-19146 15 40 in in ADP ajst-19146 15 41 space[18 space[18 NOUN ajst-19146 15 42 ] ] PUNCT ajst-19146 15 43 . . PUNCT ajst-19146 16 1 for for ADP ajst-19146 16 2 visible visible ADJ ajst-19146 16 3 light light NOUN ajst-19146 16 4 , , PUNCT ajst-19146 16 5 it it PRON ajst-19146 16 6 is be AUX ajst-19146 16 7 like like ADP ajst-19146 16 8 a a DET ajst-19146 16 9 β€œ " PUNCT ajst-19146 16 10 rainbow rainbow NOUN ajst-19146 16 11 ” " PUNCT ajst-19146 16 12 that that PRON ajst-19146 16 13 appears appear VERB ajst-19146 16 14 in in ADP ajst-19146 16 15 the the DET ajst-19146 16 16 sky sky NOUN ajst-19146 16 17 after after ADP ajst-19146 16 18 a a DET ajst-19146 16 19 rain rain NOUN ajst-19146 16 20 . . PUNCT ajst-19146 17 1 rainbow rainbow NOUN ajst-19146 17 2 devices device NOUN ajst-19146 17 3 , , PUNCT ajst-19146 17 4 which which PRON ajst-19146 17 5 have have VERB ajst-19146 17 6 a a DET ajst-19146 17 7 wide wide ADJ ajst-19146 17 8 range range NOUN ajst-19146 17 9 of of ADP ajst-19146 17 10 potential potential ADJ ajst-19146 17 11 applications application NOUN ajst-19146 17 12 in in ADP ajst-19146 17 13 device device NOUN ajst-19146 17 14 multiplexing[19 multiplexing[19 ADP ajst-19146 17 15 ] ] PUNCT ajst-19146 17 16 , , PUNCT ajst-19146 17 17 energy energy NOUN ajst-19146 17 18 storage[20 storage[20 PROPN ajst-19146 17 19 ] ] PUNCT ajst-19146 17 20 , , PUNCT ajst-19146 17 21 and and CCONJ ajst-19146 17 22 energy energy PROPN ajst-19146 17 23 focusing[21 focusing[21 PROPN ajst-19146 17 24 ] ] PUNCT ajst-19146 17 25 , , PUNCT ajst-19146 17 26 have have AUX ajst-19146 17 27 attracted attract VERB ajst-19146 17 28 a a DET ajst-19146 17 29 lot lot NOUN ajst-19146 17 30 of of ADP ajst-19146 17 31 interest interest NOUN ajst-19146 17 32 . . PUNCT ajst-19146 18 1 the the DET ajst-19146 18 2 means mean NOUN ajst-19146 18 3 of of ADP ajst-19146 18 4 realizing realize VERB ajst-19146 18 5 the the DET ajst-19146 18 6 rainbow rainbow NOUN ajst-19146 18 7 is be AUX ajst-19146 18 8 by by ADP ajst-19146 18 9 gradually gradually ADV ajst-19146 18 10 changing change VERB ajst-19146 18 11 one one NUM ajst-19146 18 12 or or CCONJ ajst-19146 18 13 more more ADJ ajst-19146 18 14 structural structural ADJ ajst-19146 18 15 parameters parameter NOUN ajst-19146 18 16 ( ( PUNCT ajst-19146 18 17 e. e. PROPN ajst-19146 18 18 g g PROPN ajst-19146 18 19 , , PUNCT ajst-19146 18 20 position position NOUN ajst-19146 18 21 , , PUNCT ajst-19146 18 22 size size NOUN ajst-19146 18 23 , , PUNCT ajst-19146 18 24 and and CCONJ ajst-19146 18 25 refractive refractive ADJ ajst-19146 18 26 index.etc index.etc NUM ajst-19146 18 27 ) ) PUNCT ajst-19146 18 28 along along ADP ajst-19146 18 29 the the DET ajst-19146 18 30 direction direction NOUN ajst-19146 18 31 of of ADP ajst-19146 18 32 propagation propagation NOUN ajst-19146 18 33 . . PUNCT ajst-19146 19 1 a a DET ajst-19146 19 2 number number NOUN ajst-19146 19 3 of of ADP ajst-19146 19 4 methods method NOUN ajst-19146 19 5 for for ADP ajst-19146 19 6 rainbow rainbow NOUN ajst-19146 19 7 capture capture NOUN ajst-19146 19 8 have have AUX ajst-19146 19 9 been be AUX ajst-19146 19 10 proposed propose VERB ajst-19146 19 11 , , PUNCT ajst-19146 19 12 including include VERB ajst-19146 19 13 the the DET ajst-19146 19 14 use use NOUN ajst-19146 19 15 of of ADP ajst-19146 19 16 plasmonic plasmonic ADJ ajst-19146 19 17 structures[22 structures[22 NOUN ajst-19146 19 18 ] ] X ajst-19146 19 19 , , PUNCT ajst-19146 19 20 nanowires[23 nanowires[23 PROPN ajst-19146 19 21 ] ] X ajst-19146 19 22 , , PUNCT ajst-19146 19 23 metamaterials[24 metamaterials[24 PROPN ajst-19146 19 24 ] ] NOUN ajst-19146 19 25 , , PUNCT ajst-19146 19 26 metasurfaces[25,26 metasurfaces[25,26 NOUN ajst-19146 19 27 ] ] PUNCT ajst-19146 19 28 , , PUNCT ajst-19146 19 29 magneto magneto ADJ ajst-19146 19 30 - - PUNCT ajst-19146 19 31 optical optical ADJ ajst-19146 19 32 material material NOUN ajst-19146 19 33 waveguides[27,28 waveguides[27,28 PROPN ajst-19146 19 34 ] ] PUNCT ajst-19146 19 35 , , PUNCT ajst-19146 19 36 and and CCONJ ajst-19146 19 37 photonic photonic NOUN ajst-19146 19 38 crystal crystal NOUN ajst-19146 19 39 waveguides[29,30 waveguides[29,30 PROPN ajst-19146 19 40 ] ] PUNCT ajst-19146 19 41 , , PUNCT ajst-19146 19 42 etc etc X ajst-19146 19 43 . . X ajst-19146 20 1 despite despite SCONJ ajst-19146 20 2 the the DET ajst-19146 20 3 observation observation NOUN ajst-19146 20 4 of of ADP ajst-19146 20 5 acoustic acoustic ADJ ajst-19146 20 6 rainbow rainbow NOUN ajst-19146 20 7 capture capture NOUN ajst-19146 20 8 in in ADP ajst-19146 20 9 air air NOUN ajst-19146 20 10 , , PUNCT ajst-19146 20 11 the the DET ajst-19146 20 12 exploration exploration NOUN ajst-19146 20 13 of of ADP ajst-19146 20 14 rainbow rainbow NOUN ajst-19146 20 15 capture capture NOUN ajst-19146 20 16 of of ADP ajst-19146 20 17 elastic elastic ADJ ajst-19146 20 18 waves wave NOUN ajst-19146 20 19 in in ADP ajst-19146 20 20 the the DET ajst-19146 20 21 environment environment NOUN ajst-19146 20 22 of of ADP ajst-19146 20 23 water water NOUN ajst-19146 20 24 remains remain VERB ajst-19146 20 25 absent absent ADJ ajst-19146 20 26 . . PUNCT ajst-19146 21 1 here here ADV ajst-19146 21 2 , , PUNCT ajst-19146 21 3 we we PRON ajst-19146 21 4 propose propose VERB ajst-19146 21 5 a a DET ajst-19146 21 6 device device NOUN ajst-19146 21 7 for for ADP ajst-19146 21 8 capturing capture VERB ajst-19146 21 9 rainbows rainbow NOUN ajst-19146 21 10 in in ADP ajst-19146 21 11 water water NOUN ajst-19146 21 12 . . PUNCT ajst-19146 22 1 the the DET ajst-19146 22 2 structural structural ADJ ajst-19146 22 3 parameters parameter NOUN ajst-19146 22 4 controlling control VERB ajst-19146 22 5 the the DET ajst-19146 22 6 scatterer scatterer ADJ ajst-19146 22 7 rotation rotation NOUN ajst-19146 22 8 affect affect VERB ajst-19146 22 9 the the DET ajst-19146 22 10 band band NOUN ajst-19146 22 11 gap gap NOUN ajst-19146 22 12 size size NOUN ajst-19146 22 13 of of ADP ajst-19146 22 14 phonon phonon NOUN ajst-19146 22 15 crystals crystal NOUN ajst-19146 22 16 . . PUNCT ajst-19146 23 1 over over ADP ajst-19146 23 2 a a DET ajst-19146 23 3 certain certain ADJ ajst-19146 23 4 angular angular ADJ ajst-19146 23 5 range range NOUN ajst-19146 23 6 , , PUNCT ajst-19146 23 7 the the DET ajst-19146 23 8 frequencies frequency NOUN ajst-19146 23 9 of of ADP ajst-19146 23 10 the the DET ajst-19146 23 11 edge edge NOUN ajst-19146 23 12 states state NOUN ajst-19146 23 13 increase increase VERB ajst-19146 23 14 monotonically monotonically ADV ajst-19146 23 15 with with ADP ajst-19146 23 16 the the DET ajst-19146 23 17 increase increase NOUN ajst-19146 23 18 in in ADP ajst-19146 23 19 rotation rotation NOUN ajst-19146 23 20 angle angle NOUN ajst-19146 23 21 , , PUNCT ajst-19146 23 22 allowing allow VERB ajst-19146 23 23 the the DET ajst-19146 23 24 construction construction NOUN ajst-19146 23 25 of of ADP ajst-19146 23 26 an an DET ajst-19146 23 27 angularly angularly ADV ajst-19146 23 28 graded grade VERB ajst-19146 23 29 phononic phononic ADJ ajst-19146 23 30 crystal crystal NOUN ajst-19146 23 31 for for ADP ajst-19146 23 32 achieving achieve VERB ajst-19146 23 33 the the DET ajst-19146 23 34 rainbow rainbow NOUN ajst-19146 23 35 effect effect NOUN ajst-19146 23 36 . . PUNCT ajst-19146 24 1 different different ADJ ajst-19146 24 2 from from ADP ajst-19146 24 3 previous previous ADJ ajst-19146 24 4 structures structure NOUN ajst-19146 24 5 formed form VERB ajst-19146 24 6 by by ADP ajst-19146 24 7 splicing splice VERB ajst-19146 24 8 together together ADV ajst-19146 24 9 phonon phonon VERB ajst-19146 24 10 crystals crystal NOUN ajst-19146 24 11 of of ADP ajst-19146 24 12 different different ADJ ajst-19146 24 13 properties property NOUN ajst-19146 24 14 , , PUNCT ajst-19146 24 15 the the DET ajst-19146 24 16 structure structure NOUN ajst-19146 24 17 is be AUX ajst-19146 24 18 a a DET ajst-19146 24 19 progressively progressively ADV ajst-19146 24 20 deformed deform VERB ajst-19146 24 21 honeycomb honeycomb NOUN ajst-19146 24 22 - - PUNCT ajst-19146 24 23 type type NOUN ajst-19146 24 24 gradient gradient ADJ ajst-19146 24 25 phononic phononic ADJ ajst-19146 24 26 crystal crystal NOUN ajst-19146 24 27 . . PUNCT ajst-19146 25 1 in in ADP ajst-19146 25 2 addition addition NOUN ajst-19146 25 3 , , PUNCT ajst-19146 25 4 through through ADP ajst-19146 25 5 deliberate deliberate ADJ ajst-19146 25 6 structural structural ADJ ajst-19146 25 7 design design NOUN ajst-19146 25 8 , , PUNCT ajst-19146 25 9 sound sound ADJ ajst-19146 25 10 waves wave NOUN ajst-19146 25 11 in in ADP ajst-19146 25 12 symmetrical symmetrical ADJ ajst-19146 25 13 directions direction NOUN ajst-19146 25 14 propagate propagate VERB ajst-19146 25 15 farther far ADV ajst-19146 25 16 and and CCONJ ajst-19146 25 17 farther far ADV ajst-19146 25 18 with with ADP ajst-19146 25 19 increasing increase VERB ajst-19146 25 20 frequency frequency NOUN ajst-19146 25 21 . . PUNCT ajst-19146 26 1 our our PRON ajst-19146 26 2 work work NOUN ajst-19146 26 3 will will AUX ajst-19146 26 4 promote promote VERB ajst-19146 26 5 the the DET ajst-19146 26 6 further further ADJ ajst-19146 26 7 development development NOUN ajst-19146 26 8 of of ADP ajst-19146 26 9 sound sound ADJ ajst-19146 26 10 flow flow NOUN ajst-19146 26 11 control control NOUN ajst-19146 26 12 in in ADP ajst-19146 26 13 water water NOUN ajst-19146 26 14 or or CCONJ ajst-19146 26 15 ocean ocean NOUN ajst-19146 26 16 systems system NOUN ajst-19146 26 17 . . PUNCT ajst-19146 27 1 2 2 X ajst-19146 27 2 . . X ajst-19146 27 3 structural structural ADJ ajst-19146 27 4 design design NOUN ajst-19146 27 5 and and CCONJ ajst-19146 27 6 calculation calculation NOUN ajst-19146 27 7 model model NOUN ajst-19146 27 8 in in ADP ajst-19146 27 9 this this DET ajst-19146 27 10 work work NOUN ajst-19146 27 11 , , PUNCT ajst-19146 27 12 we we PRON ajst-19146 27 13 propose propose VERB ajst-19146 27 14 the the DET ajst-19146 27 15 realization realization NOUN ajst-19146 27 16 of of ADP ajst-19146 27 17 an an DET ajst-19146 27 18 underwater underwater ADJ ajst-19146 27 19 acoustic acoustic ADJ ajst-19146 27 20 rainbow rainbow NOUN ajst-19146 27 21 effect effect NOUN ajst-19146 27 22 based base VERB ajst-19146 27 23 on on ADP ajst-19146 27 24 two two NUM ajst-19146 27 25 - - PUNCT ajst-19146 27 26 dimensional dimensional ADJ ajst-19146 27 27 phononic phononic ADJ ajst-19146 27 28 crystal crystal NOUN ajst-19146 27 29 . . PUNCT ajst-19146 28 1 the the DET ajst-19146 28 2 phononic phononic ADJ ajst-19146 28 3 crystal crystal NOUN ajst-19146 28 4 considered consider VERB ajst-19146 28 5 here here ADV ajst-19146 28 6 is be AUX ajst-19146 28 7 a a DET ajst-19146 28 8 honeycomb honeycomb NOUN ajst-19146 28 9 lattice lattice NOUN ajst-19146 28 10 composed compose VERB ajst-19146 28 11 of of ADP ajst-19146 28 12 six six NUM ajst-19146 28 13 " " PUNCT ajst-19146 28 14 artificial artificial ADJ ajst-19146 28 15 atoms atom NOUN ajst-19146 28 16 " " PUNCT ajst-19146 28 17 arrays array VERB ajst-19146 28 18 , , PUNCT ajst-19146 28 19 consisting consist VERB ajst-19146 28 20 of of ADP ajst-19146 28 21 crescent crescent NOUN ajst-19146 28 22 - - PUNCT ajst-19146 28 23 shaped shape VERB ajst-19146 28 24 rods rod NOUN ajst-19146 28 25 surrounded surround VERB ajst-19146 28 26 by by ADP ajst-19146 28 27 water water NOUN ajst-19146 28 28 . . PUNCT ajst-19146 29 1 the the DET ajst-19146 29 2 construction construction NOUN ajst-19146 29 3 of of ADP ajst-19146 29 4 the the DET ajst-19146 29 5 crescent crescent NOUN ajst-19146 29 6 - - PUNCT ajst-19146 29 7 shaped shape VERB ajst-19146 29 8 rods rod NOUN ajst-19146 29 9 is be AUX ajst-19146 29 10 shown show VERB ajst-19146 29 11 on on ADP ajst-19146 29 12 the the DET ajst-19146 29 13 left left ADJ ajst-19146 29 14 side side NOUN ajst-19146 29 15 of of ADP ajst-19146 29 16 fig fig NOUN ajst-19146 29 17 . . PUNCT ajst-19146 30 1 1 1 NUM ajst-19146 30 2 ( ( PUNCT ajst-19146 30 3 a a NOUN ajst-19146 30 4 ) ) PUNCT ajst-19146 30 5 . . PUNCT ajst-19146 31 1 consider consider VERB ajst-19146 31 2 two two NUM ajst-19146 31 3 cylindrical cylindrical ADJ ajst-19146 31 4 rods rod NOUN ajst-19146 31 5 with with ADP ajst-19146 31 6 radius radius NOUN ajst-19146 31 7 𝑅 𝑅 PROPN ajst-19146 31 8 0.1 0.1 NUM ajst-19146 31 9 π‘Ž. π‘Ž. NOUN ajst-19146 32 1 we we PRON ajst-19146 32 2 regard regard VERB ajst-19146 32 3 the the DET ajst-19146 32 4 crescent crescent NOUN ajst-19146 32 5 - - PUNCT ajst-19146 32 6 shaped shape VERB ajst-19146 32 7 region region NOUN ajst-19146 32 8 formed form VERB ajst-19146 32 9 by by ADP ajst-19146 32 10 the the DET ajst-19146 32 11 overlapping overlapping NOUN ajst-19146 32 12 of of ADP ajst-19146 32 13 the the DET ajst-19146 32 14 two two NUM ajst-19146 32 15 cylindrical cylindrical ADJ ajst-19146 32 16 rods rod NOUN ajst-19146 32 17 as as ADP ajst-19146 32 18 the the DET ajst-19146 32 19 scatterer scatterer NOUN ajst-19146 32 20 , , PUNCT ajst-19146 32 21 as as SCONJ ajst-19146 32 22 shown show VERB ajst-19146 32 23 in in ADP ajst-19146 32 24 the the DET ajst-19146 32 25 gray gray ADJ ajst-19146 32 26 part part NOUN ajst-19146 32 27 of of ADP ajst-19146 32 28 fig fig NOUN ajst-19146 32 29 . . PUNCT ajst-19146 33 1 1 1 NUM ajst-19146 33 2 ( ( PUNCT ajst-19146 33 3 a a NOUN ajst-19146 33 4 ) ) PUNCT ajst-19146 33 5 , , PUNCT ajst-19146 33 6 where where SCONJ ajst-19146 33 7 the the DET ajst-19146 33 8 displacement displacement ADJ ajst-19146 33 9 distance distance NOUN ajst-19146 33 10 of of ADP ajst-19146 33 11 the the DET ajst-19146 33 12 two two NUM ajst-19146 33 13 cylindrical cylindrical ADJ ajst-19146 33 14 rods rod NOUN ajst-19146 33 15 is be AUX ajst-19146 33 16 d d NOUN ajst-19146 33 17 , , PUNCT ajst-19146 33 18 where where SCONJ ajst-19146 33 19 𝑑 𝑑 PROPN ajst-19146 33 20 𝑅 𝑅 PROPN ajst-19146 33 21 . . PUNCT ajst-19146 34 1 π‘Ž π‘Ž ADP ajst-19146 34 2 and and CCONJ ajst-19146 34 3 π‘Ž π‘Ž NOUN ajst-19146 34 4 are be AUX ajst-19146 34 5 the the DET ajst-19146 34 6 lattice lattice NOUN ajst-19146 34 7 vectors vector NOUN ajst-19146 34 8 with with ADP ajst-19146 34 9 the the DET ajst-19146 34 10 lattice lattice PROPN ajst-19146 34 11 constant constant ADJ ajst-19146 34 12 π‘Ž π‘Ž PRON ajst-19146 34 13 43 43 NUM ajst-19146 34 14 π‘šπ‘š π‘šπ‘š ADP ajst-19146 34 15 . . PUNCT ajst-19146 35 1 besides besides SCONJ ajst-19146 35 2 , , PUNCT ajst-19146 35 3 π‘Ÿ π‘Ÿ NOUN ajst-19146 35 4 π‘Ž/3 π‘Ž/3 PRON ajst-19146 35 5 is be AUX ajst-19146 35 6 the the DET ajst-19146 35 7 distance distance NOUN ajst-19146 35 8 between between ADP ajst-19146 35 9 the the DET ajst-19146 35 10 unit unit NOUN ajst-19146 35 11 cell cell NOUN ajst-19146 35 12 center center NOUN ajst-19146 35 13 and and CCONJ ajst-19146 35 14 the the DET ajst-19146 35 15 center center NOUN ajst-19146 35 16 of of ADP ajst-19146 35 17 the the DET ajst-19146 35 18 crescent crescent NOUN ajst-19146 35 19 - - PUNCT ajst-19146 35 20 shaped shape VERB ajst-19146 35 21 rod rod NOUN ajst-19146 35 22 . . PUNCT ajst-19146 36 1 the the DET ajst-19146 36 2 crescent crescent NOUN ajst-19146 36 3 - - PUNCT ajst-19146 36 4 shaped shape VERB ajst-19146 36 5 rods rod NOUN ajst-19146 36 6 rotate rotate VERB ajst-19146 36 7 around around ADP ajst-19146 36 8 the the DET ajst-19146 36 9 center center NOUN ajst-19146 36 10 of of ADP ajst-19146 36 11 the the DET ajst-19146 36 12 unit unit NOUN ajst-19146 36 13 cell cell NOUN ajst-19146 36 14 six six NUM ajst-19146 36 15 times time NOUN ajst-19146 36 16 , , PUNCT ajst-19146 36 17 each each DET ajst-19146 36 18 time time NOUN ajst-19146 36 19 by by ADP ajst-19146 36 20 πœ‹/3 πœ‹/3 NUM ajst-19146 36 21 . . PUNCT ajst-19146 37 1 thus thus ADV ajst-19146 37 2 the the DET ajst-19146 37 3 system system NOUN ajst-19146 37 4 composed compose VERB ajst-19146 37 5 of of ADP ajst-19146 37 6 the the DET ajst-19146 37 7 unit unit NOUN ajst-19146 37 8 cell cell NOUN ajst-19146 37 9 of of ADP ajst-19146 37 10 the the DET ajst-19146 37 11 crescent crescent NOUN ajst-19146 37 12 rod rod NOUN ajst-19146 37 13 has have VERB ajst-19146 37 14 𝐢 𝐢 PROPN ajst-19146 37 15 rotation rotation NOUN ajst-19146 37 16 symmetry symmetry NOUN ajst-19146 37 17 and and CCONJ ajst-19146 37 18 the the DET ajst-19146 37 19 double double ADJ ajst-19146 37 20 dirac dirac NOUN ajst-19146 37 21 points point NOUN ajst-19146 37 22 in in ADP ajst-19146 37 23 this this DET ajst-19146 37 24 system system NOUN ajst-19146 37 25 are be AUX ajst-19146 37 26 generated generate VERB ajst-19146 37 27 by by ADP ajst-19146 37 28 accident accident NOUN ajst-19146 37 29 . . PUNCT ajst-19146 38 1 throughout throughout ADP ajst-19146 38 2 this this DET ajst-19146 38 3 work work NOUN ajst-19146 38 4 , , PUNCT ajst-19146 38 5 the the DET ajst-19146 38 6 commercial commercial ADJ ajst-19146 38 7 software software NOUN ajst-19146 38 8 comsol comsol NOUN ajst-19146 38 9 multiphysics multiphysic NOUN ajst-19146 38 10 is be AUX ajst-19146 38 11 employed employ VERB ajst-19146 38 12 to to PART ajst-19146 38 13 implement implement VERB ajst-19146 38 14 numerical numerical ADJ ajst-19146 38 15 simulations simulation NOUN ajst-19146 38 16 . . PUNCT ajst-19146 39 1 57 57 NUM ajst-19146 39 2 figure figure NOUN ajst-19146 39 3 1 1 NUM ajst-19146 39 4 . . PUNCT ajst-19146 40 1 ( ( PUNCT ajst-19146 40 2 a a X ajst-19146 40 3 ) ) PUNCT ajst-19146 40 4 schematic schematic ADJ ajst-19146 40 5 diagram diagram NOUN ajst-19146 40 6 of of ADP ajst-19146 40 7 the the DET ajst-19146 40 8 unit unit NOUN ajst-19146 40 9 cell cell NOUN ajst-19146 40 10 of of ADP ajst-19146 40 11 the the DET ajst-19146 40 12 two two NUM ajst-19146 40 13 - - PUNCT ajst-19146 40 14 dimensional dimensional ADJ ajst-19146 40 15 photonic photonic ADJ ajst-19146 40 16 crystal crystal NOUN ajst-19146 40 17 ; ; PUNCT ajst-19146 40 18 ( ( PUNCT ajst-19146 40 19 b b X ajst-19146 40 20 ) ) PUNCT ajst-19146 40 21 the the DET ajst-19146 40 22 first first ADJ ajst-19146 40 23 brillouin brillouin NOUN ajst-19146 40 24 zone zone NOUN ajst-19146 40 25 with with ADP ajst-19146 40 26 high high ADJ ajst-19146 40 27 symmetry symmetry NOUN ajst-19146 40 28 points point NOUN ajst-19146 40 29 ; ; PUNCT ajst-19146 40 30 ( ( PUNCT ajst-19146 40 31 c c X ajst-19146 40 32 ) ) PUNCT ajst-19146 40 33 the the DET ajst-19146 40 34 energy energy NOUN ajst-19146 40 35 band band NOUN ajst-19146 40 36 structure structure NOUN ajst-19146 40 37 of of ADP ajst-19146 40 38 the the DET ajst-19146 40 39 unit unit NOUN ajst-19146 40 40 cell cell NOUN ajst-19146 40 41 for for ADP ajst-19146 40 42 πœƒ πœƒ NOUN ajst-19146 40 43 180 180 NUM ajst-19146 40 44 Β° Β° NOUN ajst-19146 40 45 ; ; PUNCT ajst-19146 40 46 ( ( PUNCT ajst-19146 40 47 d d X ajst-19146 40 48 ) ) PUNCT ajst-19146 40 49 the the DET ajst-19146 40 50 variation variation NOUN ajst-19146 40 51 of of ADP ajst-19146 40 52 eigenfrequencies eigenfrequencie NOUN ajst-19146 40 53 with with ADP ajst-19146 40 54 πœƒ. πœƒ. NOUN ajst-19146 40 55 the the DET ajst-19146 40 56 material material NOUN ajst-19146 40 57 of of ADP ajst-19146 40 58 the the DET ajst-19146 40 59 scatterers scatterer NOUN ajst-19146 40 60 is be AUX ajst-19146 40 61 the the DET ajst-19146 40 62 soft soft ADJ ajst-19146 40 63 rubber rubber NOUN ajst-19146 40 64 ( ( PUNCT ajst-19146 40 65 gray gray ADJ ajst-19146 40 66 area area NOUN ajst-19146 40 67 ) ) PUNCT ajst-19146 40 68 with with ADP ajst-19146 40 69 𝜌 𝜌 DET ajst-19146 40 70 1000π‘˜π‘”/π‘šΒ³ 1000π‘˜π‘”/π‘šΒ³ PROPN ajst-19146 40 71 , , PUNCT ajst-19146 40 72 c c PROPN ajst-19146 40 73 489.9π‘š/𝑠 489.9π‘š/𝑠 NOUN ajst-19146 40 74 , , PUNCT ajst-19146 40 75 while while SCONJ ajst-19146 40 76 the the DET ajst-19146 40 77 parameters parameter NOUN ajst-19146 40 78 of of ADP ajst-19146 40 79 the the DET ajst-19146 40 80 water water NOUN ajst-19146 40 81 - - PUNCT ajst-19146 40 82 based base VERB ajst-19146 40 83 medium medium NOUN ajst-19146 40 84 are be AUX ajst-19146 40 85 𝜌 𝜌 X ajst-19146 40 86 1000π‘˜π‘”/π‘šΒ³ 1000π‘˜π‘”/π‘šΒ³ NUM ajst-19146 40 87 , , PUNCT ajst-19146 40 88 c c PROPN ajst-19146 40 89 1482.9π‘š/𝑠 1482.9π‘š/𝑠 NUM ajst-19146 40 90 , , PUNCT ajst-19146 40 91 respectively respectively ADV ajst-19146 40 92 . . PUNCT ajst-19146 41 1 the the DET ajst-19146 41 2 six six NUM ajst-19146 41 3 crescent crescent NOUN ajst-19146 41 4 - - PUNCT ajst-19146 41 5 shaped shape VERB ajst-19146 41 6 rods rod NOUN ajst-19146 41 7 in in ADP ajst-19146 41 8 the the DET ajst-19146 41 9 crystal crystal NOUN ajst-19146 41 10 rotate rotate VERB ajst-19146 41 11 πœƒ πœƒ NOUN ajst-19146 41 12 by by ADP ajst-19146 41 13 orienting orient VERB ajst-19146 41 14 counterclockwise counterclockwise NOUN ajst-19146 41 15 around around ADP ajst-19146 41 16 their their PRON ajst-19146 41 17 respective respective ADJ ajst-19146 41 18 centers center NOUN ajst-19146 41 19 , , PUNCT ajst-19146 41 20 as as SCONJ ajst-19146 41 21 shown show VERB ajst-19146 41 22 in in ADP ajst-19146 41 23 fig fig NOUN ajst-19146 41 24 . . PUNCT ajst-19146 42 1 1 1 NUM ajst-19146 42 2 ( ( PUNCT ajst-19146 42 3 a a NOUN ajst-19146 42 4 ) ) PUNCT ajst-19146 42 5 . . PUNCT ajst-19146 43 1 it it PRON ajst-19146 43 2 is be AUX ajst-19146 43 3 observed observe VERB ajst-19146 43 4 that that SCONJ ajst-19146 43 5 the the DET ajst-19146 43 6 oriented orient VERB ajst-19146 43 7 rotation rotation NOUN ajst-19146 43 8 angles angle NOUN ajst-19146 43 9 of of ADP ajst-19146 43 10 the the DET ajst-19146 43 11 crescent crescent NOUN ajst-19146 43 12 - - PUNCT ajst-19146 43 13 shaped shape VERB ajst-19146 43 14 rods rod NOUN ajst-19146 43 15 allow allow VERB ajst-19146 43 16 the the DET ajst-19146 43 17 unit unit NOUN ajst-19146 43 18 cell cell NOUN ajst-19146 43 19 to to PART ajst-19146 43 20 have have VERB ajst-19146 43 21 different different ADJ ajst-19146 43 22 configurations configuration NOUN ajst-19146 43 23 . . PUNCT ajst-19146 44 1 therefore therefore ADV ajst-19146 44 2 , , PUNCT ajst-19146 44 3 we we PRON ajst-19146 44 4 can can AUX ajst-19146 44 5 change change VERB ajst-19146 44 6 the the DET ajst-19146 44 7 angular angular ADJ ajst-19146 44 8 orientation orientation NOUN ajst-19146 44 9 by by ADP ajst-19146 44 10 introducing introduce VERB ajst-19146 44 11 different different ADJ ajst-19146 44 12 degrees degree NOUN ajst-19146 44 13 of of ADP ajst-19146 44 14 angular angular ADJ ajst-19146 44 15 perturbations perturbation NOUN ajst-19146 44 16 to to PART ajst-19146 44 17 break break VERB ajst-19146 44 18 the the DET ajst-19146 44 19 spatial spatial ADJ ajst-19146 44 20 inversion inversion NOUN ajst-19146 44 21 symmetry symmetry NOUN ajst-19146 44 22 , , PUNCT ajst-19146 44 23 which which PRON ajst-19146 44 24 will will AUX ajst-19146 44 25 open open VERB ajst-19146 44 26 the the DET ajst-19146 44 27 bandgap bandgap NOUN ajst-19146 44 28 at at ADP ajst-19146 44 29 the the DET ajst-19146 44 30 Ξ³ Ξ³ NOUN ajst-19146 44 31 point point NOUN ajst-19146 44 32 . . PUNCT ajst-19146 45 1 in in ADP ajst-19146 45 2 order order NOUN ajst-19146 45 3 to to PART ajst-19146 45 4 simplify simplify VERB ajst-19146 45 5 the the DET ajst-19146 45 6 calculation calculation NOUN ajst-19146 45 7 and and CCONJ ajst-19146 45 8 effectively effectively ADV ajst-19146 45 9 display display VERB ajst-19146 45 10 the the DET ajst-19146 45 11 main main ADJ ajst-19146 45 12 characteristics characteristic NOUN ajst-19146 45 13 of of ADP ajst-19146 45 14 the the DET ajst-19146 45 15 band band NOUN ajst-19146 45 16 , , PUNCT ajst-19146 45 17 we we PRON ajst-19146 45 18 calculate calculate VERB ajst-19146 45 19 the the DET ajst-19146 45 20 band band NOUN ajst-19146 45 21 structure structure NOUN ajst-19146 45 22 along along ADP ajst-19146 45 23 the the DET ajst-19146 45 24 path path NOUN ajst-19146 45 25 of of ADP ajst-19146 45 26 the the DET ajst-19146 45 27 high high ADJ ajst-19146 45 28 symmetric symmetric ADJ ajst-19146 45 29 point point NOUN ajst-19146 45 30 ( ( PUNCT ajst-19146 45 31 fig fig NOUN ajst-19146 45 32 . . NOUN ajst-19146 46 1 1 1 NUM ajst-19146 47 1 ( ( PUNCT ajst-19146 47 2 b b NOUN ajst-19146 47 3 ) ) PUNCT ajst-19146 47 4 ) ) PUNCT ajst-19146 47 5 in in ADP ajst-19146 47 6 the the DET ajst-19146 47 7 brillouin brillouin NOUN ajst-19146 47 8 zone zone NOUN ajst-19146 47 9 , , PUNCT ajst-19146 47 10 as as SCONJ ajst-19146 47 11 shown show VERB ajst-19146 47 12 in in ADP ajst-19146 47 13 fig fig NOUN ajst-19146 47 14 . . PUNCT ajst-19146 48 1 1 1 NUM ajst-19146 48 2 ( ( PUNCT ajst-19146 48 3 c c NOUN ajst-19146 48 4 ) ) PUNCT ajst-19146 48 5 . . PUNCT ajst-19146 49 1 the the DET ajst-19146 49 2 bandgap bandgap NOUN ajst-19146 49 3 is be AUX ajst-19146 49 4 displayed display VERB ajst-19146 49 5 by by ADP ajst-19146 49 6 shaded shaded ADJ ajst-19146 49 7 areas area NOUN ajst-19146 49 8 . . PUNCT ajst-19146 50 1 all all DET ajst-19146 50 2 frequencies frequency NOUN ajst-19146 50 3 in in ADP ajst-19146 50 4 the the DET ajst-19146 50 5 graph graph NOUN ajst-19146 50 6 have have AUX ajst-19146 50 7 been be AUX ajst-19146 50 8 normalized normalize VERB ajst-19146 50 9 . . PUNCT ajst-19146 51 1 the the DET ajst-19146 51 2 eigenfrequency eigenfrequency NOUN ajst-19146 51 3 of of ADP ajst-19146 51 4 the the DET ajst-19146 51 5 𝛀 𝛀 PROPN ajst-19146 51 6 point point NOUN ajst-19146 51 7 at at ADP ajst-19146 51 8 the the DET ajst-19146 51 9 center center NOUN ajst-19146 51 10 of of ADP ajst-19146 51 11 the the DET ajst-19146 51 12 brillouin brillouin PROPN ajst-19146 51 13 zone zone NOUN ajst-19146 51 14 varies vary VERB ajst-19146 51 15 with with ADP ajst-19146 51 16 the the DET ajst-19146 51 17 rotation rotation NOUN ajst-19146 51 18 angle angle NOUN ajst-19146 51 19 πœƒ πœƒ X ajst-19146 51 20 in in ADP ajst-19146 51 21 fig fig NOUN ajst-19146 51 22 . . PUNCT ajst-19146 52 1 1 1 NUM ajst-19146 52 2 ( ( PUNCT ajst-19146 52 3 d d NOUN ajst-19146 52 4 ) ) PUNCT ajst-19146 52 5 . . PUNCT ajst-19146 53 1 we we PRON ajst-19146 53 2 only only ADV ajst-19146 53 3 consider consider VERB ajst-19146 53 4 πœƒ πœƒ NOUN ajst-19146 53 5 ∈ ∈ NOUN ajst-19146 53 6 0 0 NUM ajst-19146 53 7 Β° Β° NUM ajst-19146 53 8 , , PUNCT ajst-19146 53 9 360 360 NUM ajst-19146 53 10 Β° Β° NOUN ajst-19146 53 11 , , PUNCT ajst-19146 53 12 the the DET ajst-19146 53 13 rotation rotation NOUN ajst-19146 53 14 period period NOUN ajst-19146 53 15 of of ADP ajst-19146 53 16 the the DET ajst-19146 53 17 scatterer scatterer NOUN ajst-19146 53 18 . . PUNCT ajst-19146 54 1 for for ADP ajst-19146 54 2 πœƒ πœƒ NOUN ajst-19146 54 3 0 0 NUM ajst-19146 54 4 Β° Β° NUM ajst-19146 54 5 and and CCONJ ajst-19146 54 6 πœƒ πœƒ NUM ajst-19146 54 7 180 180 NUM ajst-19146 54 8 Β° Β° NOUN ajst-19146 54 9 , , PUNCT ajst-19146 54 10 the the DET ajst-19146 54 11 bandgap bandgap NOUN ajst-19146 54 12 is be AUX ajst-19146 54 13 opened open VERB ajst-19146 54 14 . . PUNCT ajst-19146 55 1 the the DET ajst-19146 55 2 energy energy NOUN ajst-19146 55 3 bands band NOUN ajst-19146 55 4 are be AUX ajst-19146 55 5 doubly doubly ADV ajst-19146 55 6 degenerate degenerate ADJ ajst-19146 55 7 at at ADP ajst-19146 55 8 the the DET ajst-19146 55 9 𝛀 𝛀 PROPN ajst-19146 55 10 point point NOUN ajst-19146 55 11 , , PUNCT ajst-19146 55 12 and and CCONJ ajst-19146 55 13 the the DET ajst-19146 55 14 upper upper ADJ ajst-19146 55 15 and and CCONJ ajst-19146 55 16 lower low ADJ ajst-19146 55 17 edges edge NOUN ajst-19146 55 18 of of ADP ajst-19146 55 19 the the DET ajst-19146 55 20 bandgap bandgap NOUN ajst-19146 55 21 are be AUX ajst-19146 55 22 a a DET ajst-19146 55 23 function function NOUN ajst-19146 55 24 of of ADP ajst-19146 55 25 the the DET ajst-19146 55 26 rotation rotation NOUN ajst-19146 55 27 angle angle NOUN ajst-19146 55 28 πœƒ. πœƒ. ADP ajst-19146 55 29 3 3 X ajst-19146 55 30 . . PUNCT ajst-19146 55 31 dispersion dispersion NOUN ajst-19146 55 32 analysis analysis NOUN ajst-19146 55 33 it it PRON ajst-19146 55 34 can can AUX ajst-19146 55 35 be be AUX ajst-19146 55 36 seen see VERB ajst-19146 55 37 from from ADP ajst-19146 55 38 the the DET ajst-19146 55 39 band band NOUN ajst-19146 55 40 structure structure NOUN ajst-19146 55 41 of of ADP ajst-19146 55 42 the the DET ajst-19146 55 43 unit unit NOUN ajst-19146 55 44 cell cell NOUN ajst-19146 55 45 that that SCONJ ajst-19146 55 46 the the DET ajst-19146 55 47 rotation rotation NOUN ajst-19146 55 48 angle angle NOUN ajst-19146 55 49 πœƒ πœƒ PRON ajst-19146 55 50 plays play VERB ajst-19146 55 51 an an DET ajst-19146 55 52 important important ADJ ajst-19146 55 53 role role NOUN ajst-19146 55 54 in in ADP ajst-19146 55 55 controlling control VERB ajst-19146 55 56 the the DET ajst-19146 55 57 band band NOUN ajst-19146 55 58 gap gap NOUN ajst-19146 55 59 of of ADP ajst-19146 55 60 phonon phonon NOUN ajst-19146 55 61 crystals crystal NOUN ajst-19146 55 62 . . PUNCT ajst-19146 56 1 next next ADV ajst-19146 56 2 , , PUNCT ajst-19146 56 3 we we PRON ajst-19146 56 4 investigate investigate VERB ajst-19146 56 5 the the DET ajst-19146 56 6 projected project VERB ajst-19146 56 7 dispersion dispersion NOUN ajst-19146 56 8 of of ADP ajst-19146 56 9 the the DET ajst-19146 56 10 supercell supercell NOUN ajst-19146 56 11 circled circle VERB ajst-19146 56 12 by by ADP ajst-19146 56 13 the the DET ajst-19146 56 14 blue blue ADJ ajst-19146 56 15 dashed dash VERB ajst-19146 56 16 line line NOUN ajst-19146 56 17 in in ADP ajst-19146 56 18 fig fig NOUN ajst-19146 56 19 . . PUNCT ajst-19146 57 1 2 2 NUM ajst-19146 57 2 ( ( PUNCT ajst-19146 57 3 a a NOUN ajst-19146 57 4 ) ) PUNCT ajst-19146 57 5 . . PUNCT ajst-19146 58 1 this this DET ajst-19146 58 2 boundary boundary ADJ ajst-19146 58 3 situation situation NOUN ajst-19146 58 4 preserves preserve VERB ajst-19146 58 5 the the DET ajst-19146 58 6 symmetry symmetry NOUN ajst-19146 58 7 of of ADP ajst-19146 58 8 the the DET ajst-19146 58 9 crystal crystal NOUN ajst-19146 58 10 , , PUNCT ajst-19146 58 11 reducing reduce VERB ajst-19146 58 12 the the DET ajst-19146 58 13 coupling coupling NOUN ajst-19146 58 14 between between ADP ajst-19146 58 15 the the DET ajst-19146 58 16 counter counter ADJ ajst-19146 58 17 - - ADJ ajst-19146 58 18 propagating propagating ADJ ajst-19146 58 19 modes mode NOUN ajst-19146 58 20 . . PUNCT ajst-19146 59 1 the the DET ajst-19146 59 2 supercell supercell NOUN ajst-19146 59 3 structure structure NOUN ajst-19146 59 4 is be AUX ajst-19146 59 5 periodic periodic ADJ ajst-19146 59 6 in in ADP ajst-19146 59 7 the the DET ajst-19146 59 8 π‘˜ π‘˜ PROPN ajst-19146 59 9 direction direction NOUN ajst-19146 59 10 and and CCONJ ajst-19146 59 11 finite finite VERB ajst-19146 59 12 in in ADP ajst-19146 59 13 the the DET ajst-19146 59 14 π‘˜ π‘˜ PRON ajst-19146 59 15 direction direction NOUN ajst-19146 59 16 . . PUNCT ajst-19146 60 1 different different ADJ ajst-19146 60 2 from from ADP ajst-19146 60 3 the the DET ajst-19146 60 4 dispersion dispersion NOUN ajst-19146 60 5 of of ADP ajst-19146 60 6 the the DET ajst-19146 60 7 recent recent ADJ ajst-19146 60 8 researches[31,32 researches[31,32 NOUN ajst-19146 60 9 ] ] PUNCT ajst-19146 60 10 , , PUNCT ajst-19146 60 11 the the DET ajst-19146 60 12 supercell supercell NOUN ajst-19146 60 13 is be AUX ajst-19146 60 14 not not PART ajst-19146 60 15 composed compose VERB ajst-19146 60 16 of of ADP ajst-19146 60 17 two two NUM ajst-19146 60 18 different different ADJ ajst-19146 60 19 phonon phonon NOUN ajst-19146 60 20 crystals crystal NOUN ajst-19146 60 21 . . PUNCT ajst-19146 61 1 the the DET ajst-19146 61 2 edge edge NOUN ajst-19146 61 3 state state NOUN ajst-19146 61 4 dispersion dispersion NOUN ajst-19146 61 5 in in ADP ajst-19146 61 6 the the DET ajst-19146 61 7 band band NOUN ajst-19146 61 8 gap gap NOUN ajst-19146 61 9 is be AUX ajst-19146 61 10 shown show VERB ajst-19146 61 11 in in ADP ajst-19146 61 12 fig fig NOUN ajst-19146 61 13 . . PUNCT ajst-19146 62 1 2 2 NUM ajst-19146 62 2 ( ( PUNCT ajst-19146 62 3 b b NOUN ajst-19146 62 4 ) ) PUNCT ajst-19146 62 5 , , PUNCT ajst-19146 62 6 with with ADP ajst-19146 62 7 the the DET ajst-19146 62 8 upper upper ADJ ajst-19146 62 9 and and CCONJ ajst-19146 62 10 lower low ADJ ajst-19146 62 11 edge edge NOUN ajst-19146 62 12 states state NOUN ajst-19146 62 13 represented represent VERB ajst-19146 62 14 in in ADP ajst-19146 62 15 blue blue ADJ ajst-19146 62 16 and and CCONJ ajst-19146 62 17 red red ADJ ajst-19146 62 18 respectively respectively ADV ajst-19146 62 19 . . PUNCT ajst-19146 63 1 since since SCONJ ajst-19146 63 2 the the DET ajst-19146 63 3 upper upper ADJ ajst-19146 63 4 and and CCONJ ajst-19146 63 5 lower low ADJ ajst-19146 63 6 boundary boundary ADJ ajst-19146 63 7 condition condition NOUN ajst-19146 63 8 cases case NOUN ajst-19146 63 9 are be AUX ajst-19146 63 10 the the DET ajst-19146 63 11 same same ADJ ajst-19146 63 12 , , PUNCT ajst-19146 63 13 the the DET ajst-19146 63 14 two two NUM ajst-19146 63 15 edge edge NOUN ajst-19146 63 16 states state NOUN ajst-19146 63 17 are be AUX ajst-19146 63 18 almost almost ADV ajst-19146 63 19 degenerate degenerate ADJ ajst-19146 63 20 . . PUNCT ajst-19146 64 1 however however ADV ajst-19146 64 2 , , PUNCT ajst-19146 64 3 we we PRON ajst-19146 64 4 only only ADV ajst-19146 64 5 focus focus VERB ajst-19146 64 6 on on ADP ajst-19146 64 7 the the DET ajst-19146 64 8 upper upper ADJ ajst-19146 64 9 edge edge NOUN ajst-19146 64 10 states state NOUN ajst-19146 64 11 ( ( PUNCT ajst-19146 64 12 the the DET ajst-19146 64 13 blue blue ADJ ajst-19146 64 14 curve curve NOUN ajst-19146 64 15 ) ) PUNCT ajst-19146 64 16 in in ADP ajst-19146 64 17 the the DET ajst-19146 64 18 following follow VERB ajst-19146 64 19 discussion discussion NOUN ajst-19146 64 20 . . PUNCT ajst-19146 65 1 figure figure NOUN ajst-19146 65 2 2 2 NUM ajst-19146 65 3 . . PUNCT ajst-19146 66 1 ( ( PUNCT ajst-19146 66 2 a a X ajst-19146 66 3 ) ) PUNCT ajst-19146 66 4 schematic schematic ADJ ajst-19146 66 5 diagram diagram NOUN ajst-19146 66 6 of of ADP ajst-19146 66 7 supercell supercell NOUN ajst-19146 66 8 structure structure NOUN ajst-19146 66 9 with with ADP ajst-19146 66 10 πœƒ πœƒ PROPN ajst-19146 66 11 0 0 NUM ajst-19146 66 12 Β° Β° NUM ajst-19146 66 13 ; ; PUNCT ajst-19146 66 14 ( ( PUNCT ajst-19146 66 15 b b X ajst-19146 66 16 ) ) PUNCT ajst-19146 66 17 the the DET ajst-19146 66 18 edge edge NOUN ajst-19146 66 19 state state NOUN ajst-19146 66 20 of of ADP ajst-19146 66 21 the the DET ajst-19146 66 22 super super PROPN ajst-19146 66 23 unit unit NOUN ajst-19146 66 24 cell cell NOUN ajst-19146 66 25 demonstrated demonstrate VERB ajst-19146 66 26 by by ADP ajst-19146 66 27 the the DET ajst-19146 66 28 blue blue ADJ ajst-19146 66 29 dashed dash VERB ajst-19146 66 30 frame frame NOUN ajst-19146 66 31 in in ADP ajst-19146 66 32 ( ( PUNCT ajst-19146 66 33 a a NOUN ajst-19146 66 34 ) ) PUNCT ajst-19146 66 35 . . PUNCT ajst-19146 67 1 58 58 NUM ajst-19146 67 2 by by ADP ajst-19146 67 3 changing change VERB ajst-19146 67 4 the the DET ajst-19146 67 5 rotation rotation NOUN ajst-19146 67 6 angle angle NOUN ajst-19146 67 7 πœƒ πœƒ NOUN ajst-19146 67 8 , , PUNCT ajst-19146 67 9 we we PRON ajst-19146 67 10 calculate calculate VERB ajst-19146 67 11 the the DET ajst-19146 67 12 dispersion dispersion NOUN ajst-19146 67 13 curves curve NOUN ajst-19146 67 14 and and CCONJ ajst-19146 67 15 the the DET ajst-19146 67 16 corresponding correspond VERB ajst-19146 67 17 group group NOUN ajst-19146 67 18 velocities velocity NOUN ajst-19146 67 19 of of ADP ajst-19146 67 20 the the DET ajst-19146 67 21 supercell supercell NOUN ajst-19146 67 22 at at ADP ajst-19146 67 23 different different ADJ ajst-19146 67 24 angles angle NOUN ajst-19146 67 25 . . PUNCT ajst-19146 68 1 as as SCONJ ajst-19146 68 2 shown show VERB ajst-19146 68 3 in in ADP ajst-19146 68 4 fig fig NOUN ajst-19146 68 5 . . PUNCT ajst-19146 69 1 3 3 NUM ajst-19146 69 2 ( ( PUNCT ajst-19146 69 3 a a NOUN ajst-19146 69 4 ) ) PUNCT ajst-19146 69 5 , , PUNCT ajst-19146 69 6 the the DET ajst-19146 69 7 frequencies frequency NOUN ajst-19146 69 8 of of ADP ajst-19146 69 9 the the DET ajst-19146 69 10 dispersion dispersion NOUN ajst-19146 69 11 curves curve NOUN ajst-19146 69 12 increase increase VERB ajst-19146 69 13 monotonically monotonically ADV ajst-19146 69 14 with with ADP ajst-19146 69 15 the the DET ajst-19146 69 16 parameter parameter NOUN ajst-19146 70 1 πœƒ πœƒ X ajst-19146 70 2 changing change VERB ajst-19146 70 3 from from ADP ajst-19146 70 4 120 120 NUM ajst-19146 70 5 Β° Β° NOUN ajst-19146 70 6 to to ADP ajst-19146 70 7 170 170 NUM ajst-19146 70 8 Β° Β° NOUN ajst-19146 70 9 in in ADP ajst-19146 70 10 the the DET ajst-19146 70 11 range range NOUN ajst-19146 70 12 of of ADP ajst-19146 70 13 normalized normalized ADJ ajst-19146 70 14 frequency frequency NOUN ajst-19146 70 15 0.5𝑐/π‘Ž 0.5𝑐/π‘Ž NOUN ajst-19146 70 16 to to ADP ajst-19146 70 17 0.58𝑐/π‘Ž 0.58𝑐/π‘Ž PROPN ajst-19146 70 18 . . PUNCT ajst-19146 71 1 correspondingly correspondingly ADV ajst-19146 71 2 , , PUNCT ajst-19146 71 3 the the DET ajst-19146 71 4 low low ADJ ajst-19146 71 5 group group NOUN ajst-19146 71 6 velocity velocity NOUN ajst-19146 71 7 ( ( PUNCT ajst-19146 71 8 c c NOUN ajst-19146 71 9 1 1 NUM ajst-19146 71 10 ) ) PUNCT ajst-19146 71 11 is be AUX ajst-19146 71 12 obtained obtain VERB ajst-19146 71 13 as as SCONJ ajst-19146 71 14 shown show VERB ajst-19146 71 15 in in ADP ajst-19146 71 16 fig fig NOUN ajst-19146 71 17 . . PUNCT ajst-19146 72 1 3 3 NUM ajst-19146 72 2 ( ( PUNCT ajst-19146 72 3 b b NOUN ajst-19146 72 4 ) ) PUNCT ajst-19146 72 5 . . PUNCT ajst-19146 73 1 the the DET ajst-19146 73 2 trend trend NOUN ajst-19146 73 3 is be AUX ajst-19146 73 4 that that SCONJ ajst-19146 73 5 both both CCONJ ajst-19146 73 6 the the DET ajst-19146 73 7 dispersion dispersion NOUN ajst-19146 73 8 curve curve NOUN ajst-19146 73 9 and and CCONJ ajst-19146 73 10 the the DET ajst-19146 73 11 corresponding corresponding ADJ ajst-19146 73 12 low low ADJ ajst-19146 73 13 group group NOUN ajst-19146 73 14 velocity velocity NOUN ajst-19146 73 15 move move NOUN ajst-19146 73 16 to to ADP ajst-19146 73 17 the the DET ajst-19146 73 18 high high ADJ ajst-19146 73 19 frequency frequency NOUN ajst-19146 73 20 with with ADP ajst-19146 73 21 the the DET ajst-19146 73 22 increase increase NOUN ajst-19146 73 23 of of ADP ajst-19146 73 24 πœƒ. πœƒ. NOUN ajst-19146 73 25 it it PRON ajst-19146 73 26 can can AUX ajst-19146 73 27 be be AUX ajst-19146 73 28 seen see VERB ajst-19146 73 29 from from ADP ajst-19146 73 30 the the DET ajst-19146 73 31 separated separate VERB ajst-19146 73 32 dispersion dispersion NOUN ajst-19146 73 33 curve curve NOUN ajst-19146 73 34 that that SCONJ ajst-19146 73 35 acoustic acoustic ADJ ajst-19146 73 36 waves wave NOUN ajst-19146 73 37 of of ADP ajst-19146 73 38 different different ADJ ajst-19146 73 39 frequencies frequency NOUN ajst-19146 73 40 propagate propagate VERB ajst-19146 73 41 at at ADP ajst-19146 73 42 different different ADJ ajst-19146 73 43 group group NOUN ajst-19146 73 44 velocities velocity NOUN ajst-19146 73 45 along along ADP ajst-19146 73 46 the the DET ajst-19146 73 47 edge edge NOUN ajst-19146 73 48 state state NOUN ajst-19146 73 49 . . PUNCT ajst-19146 74 1 when when SCONJ ajst-19146 74 2 the the DET ajst-19146 74 3 group group NOUN ajst-19146 74 4 velocity velocity NOUN ajst-19146 74 5 of of ADP ajst-19146 74 6 the the DET ajst-19146 74 7 acoustic acoustic ADJ ajst-19146 74 8 wave wave NOUN ajst-19146 74 9 decreases decrease VERB ajst-19146 74 10 to to ADP ajst-19146 74 11 zero zero NUM ajst-19146 74 12 in in ADP ajst-19146 74 13 the the DET ajst-19146 74 14 direction direction NOUN ajst-19146 74 15 of of ADP ajst-19146 74 16 propagation propagation NOUN ajst-19146 74 17 , , PUNCT ajst-19146 74 18 the the DET ajst-19146 74 19 wave wave NOUN ajst-19146 74 20 is be AUX ajst-19146 74 21 not not PART ajst-19146 74 22 allowed allow VERB ajst-19146 74 23 to to PART ajst-19146 74 24 propagate propagate VERB ajst-19146 74 25 . . PUNCT ajst-19146 75 1 therefore therefore ADV ajst-19146 75 2 , , PUNCT ajst-19146 75 3 the the DET ajst-19146 75 4 dispersion dispersion NOUN ajst-19146 75 5 property property NOUN ajst-19146 75 6 allows allow VERB ajst-19146 75 7 the the DET ajst-19146 75 8 separation separation NOUN ajst-19146 75 9 of of ADP ajst-19146 75 10 modes mode NOUN ajst-19146 75 11 of of ADP ajst-19146 75 12 different different ADJ ajst-19146 75 13 frequencies frequency NOUN ajst-19146 75 14 and and CCONJ ajst-19146 75 15 the the DET ajst-19146 75 16 capture capture NOUN ajst-19146 75 17 of of ADP ajst-19146 75 18 sound sound ADJ ajst-19146 75 19 waves wave NOUN ajst-19146 75 20 at at ADP ajst-19146 75 21 specific specific ADJ ajst-19146 75 22 locations location NOUN ajst-19146 75 23 . . PUNCT ajst-19146 76 1 figure figure VERB ajst-19146 76 2 3 3 NUM ajst-19146 76 3 . . PUNCT ajst-19146 77 1 ( ( PUNCT ajst-19146 77 2 a a X ajst-19146 77 3 ) ) PUNCT ajst-19146 77 4 the the DET ajst-19146 77 5 dispersion dispersion NOUN ajst-19146 77 6 curve curve NOUN ajst-19146 77 7 of of ADP ajst-19146 77 8 the the DET ajst-19146 77 9 edge edge NOUN ajst-19146 77 10 state state NOUN ajst-19146 77 11 of of ADP ajst-19146 77 12 the the DET ajst-19146 77 13 supercell supercell NOUN ajst-19146 77 14 with with ADP ajst-19146 77 15 parameter parameter NOUN ajst-19146 77 16 πœƒ πœƒ NUM ajst-19146 77 17 120 120 NUM ajst-19146 77 18 Β° Β° NOUN ajst-19146 77 19 , , PUNCT ajst-19146 77 20 πœƒ πœƒ PRON ajst-19146 77 21 130 130 NUM ajst-19146 77 22 Β° Β° NOUN ajst-19146 77 23 , , PUNCT ajst-19146 77 24 πœƒ πœƒ PRON ajst-19146 77 25 140 140 NUM ajst-19146 77 26 Β° Β° NOUN ajst-19146 77 27 , , PUNCT ajst-19146 77 28 πœƒ πœƒ NOUN ajst-19146 77 29 150 150 NUM ajst-19146 77 30 Β° Β° NOUN ajst-19146 77 31 , , PUNCT ajst-19146 77 32 πœƒ πœƒ PRON ajst-19146 77 33 170 170 NUM ajst-19146 77 34 Β° Β° NUM ajst-19146 77 35 ; ; PUNCT ajst-19146 77 36 ( ( PUNCT ajst-19146 77 37 b b X ajst-19146 77 38 ) ) PUNCT ajst-19146 77 39 the the DET ajst-19146 77 40 calculated calculate VERB ajst-19146 77 41 group group NOUN ajst-19146 77 42 velocity velocity NOUN ajst-19146 77 43 corresponds correspond VERB ajst-19146 77 44 to to ADP ajst-19146 77 45 ( ( PUNCT ajst-19146 77 46 a a X ajst-19146 77 47 ) ) PUNCT ajst-19146 77 48 4 4 NUM ajst-19146 77 49 . . X ajst-19146 77 50 rainbow rainbow NOUN ajst-19146 77 51 structure structure NOUN ajst-19146 77 52 design design NOUN ajst-19146 77 53 by by ADP ajst-19146 77 54 using use VERB ajst-19146 77 55 the the DET ajst-19146 77 56 frequency frequency NOUN ajst-19146 77 57 shift shift NOUN ajst-19146 77 58 of of ADP ajst-19146 77 59 the the DET ajst-19146 77 60 edge edge NOUN ajst-19146 77 61 states state NOUN ajst-19146 77 62 and and CCONJ ajst-19146 77 63 group group NOUN ajst-19146 77 64 velocities velocity NOUN ajst-19146 77 65 in in ADP ajst-19146 77 66 different different ADJ ajst-19146 77 67 angles angle NOUN ajst-19146 77 68 , , PUNCT ajst-19146 77 69 rainbow rainbow NOUN ajst-19146 77 70 structures structure NOUN ajst-19146 77 71 can can AUX ajst-19146 77 72 be be AUX ajst-19146 77 73 designed design VERB ajst-19146 77 74 on on ADP ajst-19146 77 75 purpose purpose NOUN ajst-19146 77 76 . . PUNCT ajst-19146 78 1 this this DET ajst-19146 78 2 property property NOUN ajst-19146 78 3 is be AUX ajst-19146 78 4 the the DET ajst-19146 78 5 key key ADJ ajst-19146 78 6 principle principle NOUN ajst-19146 78 7 of of ADP ajst-19146 78 8 rainbow rainbow NOUN ajst-19146 78 9 effect effect NOUN ajst-19146 78 10 . . PUNCT ajst-19146 79 1 here here ADV ajst-19146 79 2 , , PUNCT ajst-19146 79 3 we we PRON ajst-19146 79 4 consider consider VERB ajst-19146 79 5 the the DET ajst-19146 79 6 frequency frequency NOUN ajst-19146 79 7 range range NOUN ajst-19146 79 8 of of ADP ajst-19146 79 9 the the DET ajst-19146 79 10 band band NOUN ajst-19146 79 11 gap gap NOUN ajst-19146 79 12 , , PUNCT ajst-19146 79 13 where where SCONJ ajst-19146 79 14 sound sound ADJ ajst-19146 79 15 waves wave NOUN ajst-19146 79 16 can can AUX ajst-19146 79 17 only only ADV ajst-19146 79 18 travel travel VERB ajst-19146 79 19 along along ADP ajst-19146 79 20 the the DET ajst-19146 79 21 boundary boundary NOUN ajst-19146 79 22 . . PUNCT ajst-19146 80 1 in in ADP ajst-19146 80 2 order order NOUN ajst-19146 80 3 to to PART ajst-19146 80 4 investigate investigate VERB ajst-19146 80 5 the the DET ajst-19146 80 6 rainbow rainbow NOUN ajst-19146 80 7 effect effect NOUN ajst-19146 80 8 , , PUNCT ajst-19146 80 9 we we PRON ajst-19146 80 10 design design VERB ajst-19146 80 11 a a DET ajst-19146 80 12 finite finite ADJ ajst-19146 80 13 structure structure NOUN ajst-19146 80 14 composed compose VERB ajst-19146 80 15 of of ADP ajst-19146 80 16 supercells supercell NOUN ajst-19146 80 17 as as SCONJ ajst-19146 80 18 shown show VERB ajst-19146 80 19 in in ADP ajst-19146 80 20 fig fig NOUN ajst-19146 80 21 4 4 NUM ajst-19146 80 22 ( ( PUNCT ajst-19146 80 23 a a NOUN ajst-19146 80 24 ) ) PUNCT ajst-19146 80 25 . . PUNCT ajst-19146 81 1 the the DET ajst-19146 81 2 rotation rotation NOUN ajst-19146 81 3 angle angle NOUN ajst-19146 81 4 is be AUX ajst-19146 81 5 spatially spatially ADV ajst-19146 81 6 modulated modulate VERB ajst-19146 81 7 by by ADP ajst-19146 81 8 equation equation NOUN ajst-19146 81 9 ( ( PUNCT ajst-19146 81 10 1 1 NUM ajst-19146 81 11 ) ) PUNCT ajst-19146 81 12 . . PUNCT ajst-19146 82 1 we we PRON ajst-19146 82 2 define define VERB ajst-19146 82 3 that that SCONJ ajst-19146 82 4 the the DET ajst-19146 82 5 rotation rotation NOUN ajst-19146 82 6 angle angle NOUN ajst-19146 82 7 of of ADP ajst-19146 82 8 the the DET ajst-19146 82 9 n n CCONJ ajst-19146 82 10 - - PUNCT ajst-19146 82 11 th th VERB ajst-19146 82 12 column column NOUN ajst-19146 82 13 along along ADP ajst-19146 82 14 the the DET ajst-19146 82 15 x x NOUN ajst-19146 82 16 direction direction NOUN ajst-19146 82 17 in in ADP ajst-19146 82 18 the the DET ajst-19146 82 19 2d 2d PROPN ajst-19146 82 20 phononic phononic ADJ ajst-19146 82 21 crystal crystal NOUN ajst-19146 82 22 structure structure NOUN ajst-19146 82 23 is be AUX ajst-19146 82 24 represented represent VERB ajst-19146 82 25 by by ADP ajst-19146 82 26 the the DET ajst-19146 82 27 parameter parameter NOUN ajst-19146 82 28 ) ) PUNCT ajst-19146 82 29 ( ( PUNCT ajst-19146 82 30 n n NUM ajst-19146 82 31 : : PUNCT ajst-19146 82 32 0 0 PUNCT ajst-19146 83 1 ( ( PUNCT ajst-19146 83 2 ) ) PUNCT ajst-19146 83 3 0 0 NUM ajst-19146 84 1 ( ( PUNCT ajst-19146 84 2 1),1 1),1 NUM ajst-19146 84 3 1 1 NUM ajst-19146 84 4 m m PROPN ajst-19146 84 5 n n ADP ajst-19146 84 6 n n CCONJ ajst-19146 84 7 n n ADV ajst-19146 84 8 m m NOUN ajst-19146 84 9 m m VERB ajst-19146 84 10   X ajst-19146 84 11   X ajst-19146 84 12   PROPN ajst-19146 85 1 ο€­ ο€­ PROPN ajst-19146 85 2 ο€½ ο€½ PROPN ajst-19146 85 3   PUNCT ajst-19146 85 4 ο‚΄ ο‚΄ X ajst-19146 85 5 ο€­ ο€­ PROPN ajst-19146 85 6 ο€Ό ο€Ό PROPN ajst-19146 85 7 ο€Ό ο€Ό PROPN ajst-19146 85 8 ο€­ ο€­ NOUN ajst-19146 85 9 ( ( PUNCT ajst-19146 85 10 1 1 NUM ajst-19146 85 11 ) ) PUNCT ajst-19146 85 12 where where SCONJ ajst-19146 85 13 , , PUNCT ajst-19146 85 14 1 1 NOUN ajst-19146 85 15 and and CCONJ ajst-19146 85 16 m m NOUN ajst-19146 85 17 are be AUX ajst-19146 85 18 the the DET ajst-19146 85 19 rotation rotation NOUN ajst-19146 85 20 parameters parameter NOUN ajst-19146 85 21 of of ADP ajst-19146 85 22 the the DET ajst-19146 85 23 first first ADJ ajst-19146 85 24 column column NOUN ajst-19146 85 25 and and CCONJ ajst-19146 85 26 last last ADJ ajst-19146 85 27 column column NOUN ajst-19146 85 28 .obviously .obviously ADV ajst-19146 85 29 , , PUNCT ajst-19146 85 30 the the DET ajst-19146 85 31 spatial spatial ADJ ajst-19146 85 32 modulation modulation NOUN ajst-19146 85 33 leads lead VERB ajst-19146 85 34 the the DET ajst-19146 85 35 phononic phononic ADJ ajst-19146 85 36 crystals crystal NOUN ajst-19146 85 37 in in ADP ajst-19146 85 38 each each DET ajst-19146 85 39 column column NOUN ajst-19146 85 40 to to PART ajst-19146 85 41 rotate rotate VERB ajst-19146 85 42 at at ADP ajst-19146 85 43 a a DET ajst-19146 85 44 particular particular ADJ ajst-19146 85 45 angle angle NOUN ajst-19146 85 46 . . PUNCT ajst-19146 86 1 for for ADP ajst-19146 86 2 our our PRON ajst-19146 86 3 acoustic acoustic ADJ ajst-19146 86 4 system system NOUN ajst-19146 86 5 , , PUNCT ajst-19146 86 6 π‘š π‘š PROPN ajst-19146 86 7 19 19 NUM ajst-19146 86 8 . . PUNCT ajst-19146 87 1 the the DET ajst-19146 87 2 angle angle NOUN ajst-19146 87 3 of of ADP ajst-19146 87 4 rotation rotation NOUN ajst-19146 87 5 increases increase NOUN ajst-19146 87 6 as as SCONJ ajst-19146 87 7 the the DET ajst-19146 87 8 number number NOUN ajst-19146 87 9 of of ADP ajst-19146 87 10 columns column NOUN ajst-19146 87 11 gradually gradually ADV ajst-19146 87 12 increases increase VERB ajst-19146 87 13 and and CCONJ ajst-19146 87 14 πœƒ πœƒ DET ajst-19146 87 15 90 90 NUM ajst-19146 87 16 Β° Β° NUM ajst-19146 87 17 and and CCONJ ajst-19146 87 18 πœƒ πœƒ NUM ajst-19146 87 19 180 180 NUM ajst-19146 87 20 Β° Β° NOUN ajst-19146 87 21 , , PUNCT ajst-19146 87 22 respectively respectively ADV ajst-19146 87 23 . . PUNCT ajst-19146 88 1 in in ADP ajst-19146 88 2 other other ADJ ajst-19146 88 3 words word NOUN ajst-19146 88 4 , , PUNCT ajst-19146 88 5 the the DET ajst-19146 88 6 angle angle NOUN ajst-19146 88 7 of of ADP ajst-19146 88 8 the the DET ajst-19146 88 9 gradient gradient ADJ ajst-19146 88 10 phononic phononic ADJ ajst-19146 88 11 crystal crystal NOUN ajst-19146 88 12 increases increase NOUN ajst-19146 88 13 monotonically monotonically ADV ajst-19146 88 14 from from ADP ajst-19146 88 15 90 90 NUM ajst-19146 88 16 Β° Β° NOUN ajst-19146 88 17 ( ( PUNCT ajst-19146 88 18 the the DET ajst-19146 88 19 first first ADJ ajst-19146 88 20 column column NOUN ajst-19146 88 21 , , PUNCT ajst-19146 88 22 on on ADP ajst-19146 88 23 the the DET ajst-19146 88 24 far far ADV ajst-19146 88 25 left leave VERB ajst-19146 88 26 ) ) PUNCT ajst-19146 88 27 to to ADP ajst-19146 88 28 180 180 NUM ajst-19146 88 29 Β° Β° NOUN ajst-19146 88 30 ( ( PUNCT ajst-19146 88 31 the the DET ajst-19146 88 32 last last ADJ ajst-19146 88 33 column column NOUN ajst-19146 88 34 , , PUNCT ajst-19146 88 35 on on ADP ajst-19146 88 36 the the DET ajst-19146 88 37 far far ADV ajst-19146 88 38 right right NOUN ajst-19146 88 39 ) ) PUNCT ajst-19146 88 40 along along ADP ajst-19146 88 41 the the DET ajst-19146 88 42 πœƒ πœƒ NUM ajst-19146 88 43 -axis -axis NOUN ajst-19146 88 44 . . PUNCT ajst-19146 89 1 the the DET ajst-19146 89 2 rotation rotation NOUN ajst-19146 89 3 increment increment NOUN ajst-19146 89 4 is be AUX ajst-19146 89 5   PROPN ajst-19146 89 6 5 5 NOUN ajst-19146 89 7 . . PUNCT ajst-19146 90 1 if if SCONJ ajst-19146 90 2 the the DET ajst-19146 90 3 spatial spatial ADJ ajst-19146 90 4 modulation modulation NOUN ajst-19146 90 5 of of ADP ajst-19146 90 6 πœƒ πœƒ PROPN ajst-19146 90 7 is be AUX ajst-19146 90 8 ideally ideally ADV ajst-19146 90 9 smooth smooth ADJ ajst-19146 90 10 and and CCONJ ajst-19146 90 11 slow slow VERB ajst-19146 90 12 enough enough ADV ajst-19146 90 13 , , PUNCT ajst-19146 90 14 the the DET ajst-19146 90 15 structure structure NOUN ajst-19146 90 16 is be AUX ajst-19146 90 17 locally locally ADV ajst-19146 90 18 equivalent equivalent ADJ ajst-19146 90 19 to to ADP ajst-19146 90 20 the the DET ajst-19146 90 21 phononic phononic ADJ ajst-19146 90 22 crystal crystal NOUN ajst-19146 90 23 model model NOUN ajst-19146 90 24 in in ADP ajst-19146 90 25 fig fig NOUN ajst-19146 90 26 2 2 NUM ajst-19146 90 27 ( ( PUNCT ajst-19146 90 28 a a NOUN ajst-19146 90 29 ) ) PUNCT ajst-19146 90 30 . . PUNCT ajst-19146 91 1 the the DET ajst-19146 91 2 change change NOUN ajst-19146 91 3 in in ADP ajst-19146 91 4 rotation rotation NOUN ajst-19146 91 5 angle angle NOUN ajst-19146 91 6 is be AUX ajst-19146 91 7 very very ADV ajst-19146 91 8 small small ADJ ajst-19146 91 9 . . PUNCT ajst-19146 92 1 figure figure NOUN ajst-19146 92 2 4 4 NUM ajst-19146 92 3 . . PUNCT ajst-19146 93 1 ( ( PUNCT ajst-19146 93 2 a a X ajst-19146 93 3 ) ) PUNCT ajst-19146 93 4 schematic schematic ADJ ajst-19146 93 5 of of ADP ajst-19146 93 6 the the DET ajst-19146 93 7 gradient gradient ADJ ajst-19146 93 8 phononic phononic ADJ ajst-19146 93 9 crystal crystal NOUN ajst-19146 93 10 waveguide waveguide NOUN ajst-19146 93 11 with with ADP ajst-19146 93 12 adjusting adjust VERB ajst-19146 93 13 πœƒ πœƒ NUM ajst-19146 93 14 parameters parameter NOUN ajst-19146 93 15 for for ADP ajst-19146 93 16 realizing realize VERB ajst-19146 93 17 the the DET ajst-19146 93 18 rainbow rainbow NOUN ajst-19146 93 19 capture capture NOUN ajst-19146 93 20 ; ; PUNCT ajst-19146 93 21 ( ( PUNCT ajst-19146 93 22 b b X ajst-19146 93 23 ) ) PUNCT ajst-19146 93 24 acoustic acoustic ADJ ajst-19146 93 25 pressure pressure NOUN ajst-19146 93 26 distributions distribution NOUN ajst-19146 93 27 along along ADP ajst-19146 93 28 the the DET ajst-19146 93 29 upper upper ADJ ajst-19146 93 30 boundary boundary NOUN ajst-19146 93 31 when when SCONJ ajst-19146 93 32 left left ADJ ajst-19146 93 33 incidence incidence NOUN ajst-19146 93 34 ; ; PUNCT ajst-19146 93 35 ( ( PUNCT ajst-19146 93 36 c c X ajst-19146 93 37 ) ) PUNCT ajst-19146 93 38 the the DET ajst-19146 93 39 sound sound ADJ ajst-19146 93 40 pressure pressure NOUN ajst-19146 93 41 field field NOUN ajst-19146 93 42 corresponding correspond VERB ajst-19146 93 43 to to ADP ajst-19146 93 44 different different ADJ ajst-19146 93 45 frequencies frequency NOUN ajst-19146 93 46 . . PUNCT ajst-19146 94 1 59 59 NUM ajst-19146 94 2 after after ADP ajst-19146 94 3 constructing construct VERB ajst-19146 94 4 the the DET ajst-19146 94 5 phonon phonon NOUN ajst-19146 94 6 crystal crystal NOUN ajst-19146 94 7 gradient gradient NOUN ajst-19146 94 8 structure structure NOUN ajst-19146 94 9 , , PUNCT ajst-19146 94 10 we we PRON ajst-19146 94 11 add add VERB ajst-19146 94 12 excitation excitation NOUN ajst-19146 94 13 from from ADP ajst-19146 94 14 different different ADJ ajst-19146 94 15 directions direction NOUN ajst-19146 94 16 . . PUNCT ajst-19146 95 1 the the DET ajst-19146 95 2 red red ADJ ajst-19146 95 3 arrow arrow NOUN ajst-19146 95 4 in in ADP ajst-19146 95 5 fig fig NOUN ajst-19146 95 6 . . PUNCT ajst-19146 96 1 4 4 NUM ajst-19146 96 2 ( ( PUNCT ajst-19146 96 3 a a PRON ajst-19146 96 4 ) ) PUNCT ajst-19146 96 5 illustrates illustrate VERB ajst-19146 96 6 the the DET ajst-19146 96 7 incidence incidence NOUN ajst-19146 96 8 of of ADP ajst-19146 96 9 sound sound ADJ ajst-19146 96 10 waves wave NOUN ajst-19146 96 11 from from ADP ajst-19146 96 12 the the DET ajst-19146 96 13 left left ADJ ajst-19146 96 14 side side NOUN ajst-19146 96 15 of of ADP ajst-19146 96 16 the the DET ajst-19146 96 17 upper upper ADJ ajst-19146 96 18 boundary boundary NOUN ajst-19146 96 19 . . PUNCT ajst-19146 97 1 the the DET ajst-19146 97 2 normalized normalize VERB ajst-19146 97 3 intensity intensity NOUN ajst-19146 97 4 distribution distribution NOUN ajst-19146 97 5 along along ADP ajst-19146 97 6 the the DET ajst-19146 97 7 boundary boundary NOUN ajst-19146 97 8 within within ADP ajst-19146 97 9 a a DET ajst-19146 97 10 certain certain ADJ ajst-19146 97 11 frequency frequency NOUN ajst-19146 97 12 range range NOUN ajst-19146 97 13 is be AUX ajst-19146 97 14 shown show VERB ajst-19146 97 15 in in ADP ajst-19146 97 16 fig fig NOUN ajst-19146 97 17 . . PUNCT ajst-19146 98 1 4 4 NUM ajst-19146 98 2 ( ( PUNCT ajst-19146 98 3 b b NOUN ajst-19146 98 4 ) ) PUNCT ajst-19146 98 5 . . PUNCT ajst-19146 99 1 the the DET ajst-19146 99 2 specific specific ADJ ajst-19146 99 3 distributions distribution NOUN ajst-19146 99 4 of of ADP ajst-19146 99 5 sound sound ADJ ajst-19146 99 6 pressure pressure NOUN ajst-19146 99 7 fields field NOUN ajst-19146 99 8 with with ADP ajst-19146 99 9 incident incident NOUN ajst-19146 99 10 frequencies frequency NOUN ajst-19146 99 11 of of ADP ajst-19146 99 12 22.58π‘˜π»π‘§ 22.58π‘˜π»π‘§ PROPN ajst-19146 99 13 , , PUNCT ajst-19146 99 14 22.82π‘˜π»π‘§ 22.82π‘˜π»π‘§ NUM ajst-19146 99 15 , , PUNCT ajst-19146 99 16 23.00π‘˜π»π‘§ 23.00π‘˜π»π‘§ PROPN ajst-19146 99 17 and and CCONJ ajst-19146 99 18 23.26π‘˜π»π‘§ 23.26π‘˜π»π‘§ PROPN ajst-19146 99 19 are be AUX ajst-19146 99 20 shown show VERB ajst-19146 99 21 in in ADP ajst-19146 99 22 fig fig NOUN ajst-19146 99 23 . . PUNCT ajst-19146 100 1 4 4 NUM ajst-19146 100 2 ( ( PUNCT ajst-19146 100 3 c c NOUN ajst-19146 100 4 ) ) PUNCT ajst-19146 100 5 . . PUNCT ajst-19146 101 1 specifically specifically ADV ajst-19146 101 2 , , PUNCT ajst-19146 101 3 when when SCONJ ajst-19146 101 4 excited excited ADJ ajst-19146 101 5 from from ADP ajst-19146 101 6 left left ADJ ajst-19146 101 7 , , PUNCT ajst-19146 101 8 the the DET ajst-19146 101 9 acoustic acoustic ADJ ajst-19146 101 10 waves wave NOUN ajst-19146 101 11 propagate propagate VERB ajst-19146 101 12 to to ADP ajst-19146 101 13 the the DET ajst-19146 101 14 right right NOUN ajst-19146 101 15 along along ADP ajst-19146 101 16 the the DET ajst-19146 101 17 boundary boundary NOUN ajst-19146 101 18 , , PUNCT ajst-19146 101 19 and and CCONJ ajst-19146 101 20 the the DET ajst-19146 101 21 acoustic acoustic ADJ ajst-19146 101 22 waves wave NOUN ajst-19146 101 23 propagate propagate VERB ajst-19146 101 24 progressively progressively ADV ajst-19146 101 25 further far ADV ajst-19146 101 26 away away ADV ajst-19146 101 27 from from ADP ajst-19146 101 28 each each DET ajst-19146 101 29 other other ADJ ajst-19146 101 30 as as ADP ajst-19146 101 31 the the DET ajst-19146 101 32 frequency frequency NOUN ajst-19146 101 33 of of ADP ajst-19146 101 34 excitation excitation NOUN ajst-19146 101 35 rises rise NOUN ajst-19146 101 36 . . PUNCT ajst-19146 102 1 the the DET ajst-19146 102 2 results result NOUN ajst-19146 102 3 indicate indicate VERB ajst-19146 102 4 that that SCONJ ajst-19146 102 5 acoustic acoustic ADJ ajst-19146 102 6 waves wave NOUN ajst-19146 102 7 of of ADP ajst-19146 102 8 different different ADJ ajst-19146 102 9 frequencies frequency NOUN ajst-19146 102 10 stop stop VERB ajst-19146 102 11 at at ADP ajst-19146 102 12 different different ADJ ajst-19146 102 13 positions position NOUN ajst-19146 102 14 . . PUNCT ajst-19146 103 1 as as SCONJ ajst-19146 103 2 the the DET ajst-19146 103 3 acoustic acoustic ADJ ajst-19146 103 4 waves wave NOUN ajst-19146 103 5 propagate propagate VERB ajst-19146 103 6 forward forward ADV ajst-19146 103 7 , , PUNCT ajst-19146 103 8 the the DET ajst-19146 103 9 energy energy NOUN ajst-19146 103 10 of of ADP ajst-19146 103 11 the the DET ajst-19146 103 12 acoustic acoustic ADJ ajst-19146 103 13 field field NOUN ajst-19146 103 14 progressively progressively ADV ajst-19146 103 15 spreads spread VERB ajst-19146 103 16 farther far ADV ajst-19146 103 17 with with ADP ajst-19146 103 18 increasing increase VERB ajst-19146 103 19 excitation excitation NOUN ajst-19146 103 20 frequency frequency NOUN ajst-19146 103 21 . . PUNCT ajst-19146 104 1 the the DET ajst-19146 104 2 results result NOUN ajst-19146 104 3 unequivocally unequivocally ADV ajst-19146 104 4 demonstrate demonstrate VERB ajst-19146 104 5 that that SCONJ ajst-19146 104 6 our our PRON ajst-19146 104 7 gradient gradient NOUN ajst-19146 104 8 phonon phonon NOUN ajst-19146 104 9 crystal crystal NOUN ajst-19146 104 10 structure structure NOUN ajst-19146 104 11 effectively effectively ADV ajst-19146 104 12 realizes realize VERB ajst-19146 104 13 the the DET ajst-19146 104 14 rainbow rainbow NOUN ajst-19146 104 15 effect effect NOUN ajst-19146 104 16 . . PUNCT ajst-19146 105 1 figure figure NOUN ajst-19146 105 2 5 5 NUM ajst-19146 105 3 . . PUNCT ajst-19146 106 1 ( ( PUNCT ajst-19146 106 2 a a X ajst-19146 106 3 ) ) PUNCT ajst-19146 106 4 schematic schematic ADJ ajst-19146 106 5 of of ADP ajst-19146 106 6 the the DET ajst-19146 106 7 gradient gradient ADJ ajst-19146 106 8 phononic phononic ADJ ajst-19146 106 9 crystal crystal NOUN ajst-19146 106 10 waveguide waveguide NOUN ajst-19146 106 11 with with ADP ajst-19146 106 12 adjusting adjust VERB ajst-19146 106 13 πœƒ πœƒ NUM ajst-19146 106 14 parameters parameter NOUN ajst-19146 106 15 for for ADP ajst-19146 106 16 realizing realize VERB ajst-19146 106 17 the the DET ajst-19146 106 18 rainbow rainbow NOUN ajst-19146 106 19 capture capture NOUN ajst-19146 106 20 ; ; PUNCT ajst-19146 106 21 ( ( PUNCT ajst-19146 106 22 b b X ajst-19146 106 23 ) ) PUNCT ajst-19146 106 24 acoustic acoustic ADJ ajst-19146 106 25 pressure pressure NOUN ajst-19146 106 26 distributions distribution NOUN ajst-19146 106 27 along along ADP ajst-19146 106 28 the the DET ajst-19146 106 29 upper upper ADJ ajst-19146 106 30 boundary boundary NOUN ajst-19146 106 31 when when SCONJ ajst-19146 106 32 right right ADJ ajst-19146 106 33 incidence incidence NOUN ajst-19146 106 34 ; ; PUNCT ajst-19146 106 35 ( ( PUNCT ajst-19146 106 36 c c X ajst-19146 106 37 ) ) PUNCT ajst-19146 106 38 the the DET ajst-19146 106 39 sound sound ADJ ajst-19146 106 40 pressure pressure NOUN ajst-19146 106 41 field field NOUN ajst-19146 106 42 corresponding correspond VERB ajst-19146 106 43 to to ADP ajst-19146 106 44 different different ADJ ajst-19146 106 45 frequencies frequency NOUN ajst-19146 106 46 . . PUNCT ajst-19146 107 1 correspondingly correspondingly ADV ajst-19146 107 2 , , PUNCT ajst-19146 107 3 the the DET ajst-19146 107 4 blue blue ADJ ajst-19146 107 5 arrow arrow NOUN ajst-19146 107 6 in in ADP ajst-19146 107 7 fig fig NOUN ajst-19146 107 8 . . PUNCT ajst-19146 108 1 5 5 NUM ajst-19146 108 2 ( ( PUNCT ajst-19146 108 3 a a PRON ajst-19146 108 4 ) ) PUNCT ajst-19146 108 5 illustrates illustrate VERB ajst-19146 108 6 the the DET ajst-19146 108 7 incidence incidence NOUN ajst-19146 108 8 of of ADP ajst-19146 108 9 sound sound ADJ ajst-19146 108 10 waves wave NOUN ajst-19146 108 11 from from ADP ajst-19146 108 12 the the DET ajst-19146 108 13 right right ADJ ajst-19146 108 14 side side NOUN ajst-19146 108 15 . . PUNCT ajst-19146 109 1 as as SCONJ ajst-19146 109 2 shown show VERB ajst-19146 109 3 in in ADP ajst-19146 109 4 fig fig NOUN ajst-19146 109 5 . . PUNCT ajst-19146 110 1 5 5 NUM ajst-19146 110 2 ( ( PUNCT ajst-19146 110 3 b b NOUN ajst-19146 110 4 ) ) PUNCT ajst-19146 110 5 , , PUNCT ajst-19146 110 6 the the DET ajst-19146 110 7 sound sound ADJ ajst-19146 110 8 pressure pressure NOUN ajst-19146 110 9 intensity intensity NOUN ajst-19146 110 10 along along ADP ajst-19146 110 11 the the DET ajst-19146 110 12 boundary boundary NOUN ajst-19146 110 13 gradually gradually ADV ajst-19146 110 14 approaches approach VERB ajst-19146 110 15 the the DET ajst-19146 110 16 sound sound ADJ ajst-19146 110 17 source source NOUN ajst-19146 110 18 as as ADP ajst-19146 110 19 the the DET ajst-19146 110 20 frequency frequency NOUN ajst-19146 110 21 increases increase NOUN ajst-19146 110 22 . . PUNCT ajst-19146 111 1 the the DET ajst-19146 111 2 specific specific ADJ ajst-19146 111 3 distributions distribution NOUN ajst-19146 111 4 of of ADP ajst-19146 111 5 sound sound ADJ ajst-19146 111 6 pressure pressure NOUN ajst-19146 111 7 fields field NOUN ajst-19146 111 8 with with ADP ajst-19146 111 9 incident incident NOUN ajst-19146 111 10 frequencies frequency NOUN ajst-19146 111 11 of of ADP ajst-19146 111 12 23.18π‘˜π»π‘§ 23.18π‘˜π»π‘§ NUM ajst-19146 111 13 , , PUNCT ajst-19146 111 14 23.44π‘˜π»π‘§ 23.44π‘˜π»π‘§ NUM ajst-19146 111 15 , , PUNCT ajst-19146 111 16 23.62π‘˜π»π‘§ 23.62π‘˜π»π‘§ PROPN ajst-19146 111 17 and and CCONJ ajst-19146 111 18 23.82π‘˜π»π‘§ 23.82π‘˜π»π‘§ PROPN ajst-19146 111 19 are be AUX ajst-19146 111 20 shown show VERB ajst-19146 111 21 in in ADP ajst-19146 111 22 fig fig NOUN ajst-19146 111 23 . . PUNCT ajst-19146 112 1 5 5 NUM ajst-19146 112 2 ( ( PUNCT ajst-19146 112 3 c c NOUN ajst-19146 112 4 ) ) PUNCT ajst-19146 112 5 , , PUNCT ajst-19146 112 6 indicating indicate VERB ajst-19146 112 7 that that SCONJ ajst-19146 112 8 acoustic acoustic ADJ ajst-19146 112 9 waves wave NOUN ajst-19146 112 10 of of ADP ajst-19146 112 11 different different ADJ ajst-19146 112 12 frequencies frequency NOUN ajst-19146 112 13 propagate propagate VERB ajst-19146 112 14 progressively progressively ADV ajst-19146 112 15 closer close ADV ajst-19146 112 16 as as ADP ajst-19146 112 17 the the DET ajst-19146 112 18 frequency frequency NOUN ajst-19146 112 19 increases increase NOUN ajst-19146 112 20 . . PUNCT ajst-19146 113 1 it it PRON ajst-19146 113 2 is be AUX ajst-19146 113 3 worth worth ADJ ajst-19146 113 4 noting note VERB ajst-19146 113 5 that that SCONJ ajst-19146 113 6 these these DET ajst-19146 113 7 two two NUM ajst-19146 113 8 different different ADJ ajst-19146 113 9 rainbow rainbow NOUN ajst-19146 113 10 effects effect NOUN ajst-19146 113 11 are be AUX ajst-19146 113 12 produced produce VERB ajst-19146 113 13 in in ADP ajst-19146 113 14 the the DET ajst-19146 113 15 same same ADJ ajst-19146 113 16 gradient gradient NOUN ajst-19146 113 17 phonon phonon NOUN ajst-19146 113 18 crystal crystal NOUN ajst-19146 113 19 structure structure NOUN ajst-19146 113 20 , , PUNCT ajst-19146 113 21 with with ADP ajst-19146 113 22 the the DET ajst-19146 113 23 rotation rotation NOUN ajst-19146 113 24 angle angle NOUN ajst-19146 113 25 gradually gradually ADV ajst-19146 113 26 increasing increase VERB ajst-19146 113 27 from from ADP ajst-19146 113 28 the the DET ajst-19146 113 29 first first ADJ ajst-19146 113 30 to to ADP ajst-19146 113 31 the the DET ajst-19146 113 32 last last ADJ ajst-19146 113 33 column column NOUN ajst-19146 113 34 . . PUNCT ajst-19146 114 1 the the DET ajst-19146 114 2 difference difference NOUN ajst-19146 114 3 between between ADP ajst-19146 114 4 this this DET ajst-19146 114 5 case case NOUN ajst-19146 114 6 and and CCONJ ajst-19146 114 7 fig fig NOUN ajst-19146 114 8 . . PUNCT ajst-19146 114 9 4 4 NUM ajst-19146 114 10 lies lie NOUN ajst-19146 114 11 in in ADP ajst-19146 114 12 the the DET ajst-19146 114 13 direction direction NOUN ajst-19146 114 14 of of ADP ajst-19146 114 15 the the DET ajst-19146 114 16 incident incident NOUN ajst-19146 114 17 wave wave NOUN ajst-19146 114 18 , , PUNCT ajst-19146 114 19 which which PRON ajst-19146 114 20 results result VERB ajst-19146 114 21 in in ADP ajst-19146 114 22 a a DET ajst-19146 114 23 different different ADJ ajst-19146 114 24 rainbow rainbow NOUN ajst-19146 114 25 effect effect NOUN ajst-19146 114 26 related relate VERB ajst-19146 114 27 to to ADP ajst-19146 114 28 the the DET ajst-19146 114 29 design design NOUN ajst-19146 114 30 of of ADP ajst-19146 114 31 the the DET ajst-19146 114 32 gradient gradient ADJ ajst-19146 114 33 structure structure NOUN ajst-19146 114 34 . . PUNCT ajst-19146 115 1 figure figure VERB ajst-19146 115 2 6 6 NUM ajst-19146 115 3 . . PUNCT ajst-19146 116 1 ( ( PUNCT ajst-19146 116 2 a a X ajst-19146 116 3 ) ) PUNCT ajst-19146 116 4 acoustic acoustic ADJ ajst-19146 116 5 pressure pressure NOUN ajst-19146 116 6 distributions distribution NOUN ajst-19146 116 7 along along ADP ajst-19146 116 8 the the DET ajst-19146 116 9 upper upper ADJ ajst-19146 116 10 boundary boundary NOUN ajst-19146 116 11 when when SCONJ ajst-19146 116 12 middle middle ADJ ajst-19146 116 13 incidence incidence NOUN ajst-19146 116 14 ; ; PUNCT ajst-19146 116 15 ( ( PUNCT ajst-19146 116 16 b b X ajst-19146 116 17 ) ) PUNCT ajst-19146 116 18 the the DET ajst-19146 116 19 sound sound ADJ ajst-19146 116 20 pressure pressure NOUN ajst-19146 116 21 field field NOUN ajst-19146 116 22 corresponding correspond VERB ajst-19146 116 23 to to ADP ajst-19146 116 24 different different ADJ ajst-19146 116 25 frequencies frequency NOUN ajst-19146 116 26 . . PUNCT ajst-19146 117 1 60 60 NUM ajst-19146 117 2 in in ADP ajst-19146 117 3 addition addition NOUN ajst-19146 117 4 , , PUNCT ajst-19146 117 5 we we PRON ajst-19146 117 6 construct construct VERB ajst-19146 117 7 a a DET ajst-19146 117 8 gradient gradient ADJ ajst-19146 117 9 phononic phononic ADJ ajst-19146 117 10 crystal crystal NOUN ajst-19146 117 11 with with ADP ajst-19146 117 12 central central ADJ ajst-19146 117 13 mirror mirror NOUN ajst-19146 117 14 symmetry symmetry NOUN ajst-19146 117 15 based base VERB ajst-19146 117 16 on on ADP ajst-19146 117 17 fig fig NOUN ajst-19146 117 18 . . PUNCT ajst-19146 118 1 4 4 NUM ajst-19146 118 2 and and CCONJ ajst-19146 118 3 fig fig NOUN ajst-19146 118 4 . . PUNCT ajst-19146 119 1 5 5 NUM ajst-19146 119 2 . . NOUN ajst-19146 119 3 similar similar ADJ ajst-19146 119 4 to to ADP ajst-19146 119 5 the the DET ajst-19146 119 6 results result NOUN ajst-19146 119 7 above above ADV ajst-19146 119 8 , , PUNCT ajst-19146 119 9 the the DET ajst-19146 119 10 acoustic acoustic ADJ ajst-19146 119 11 waves wave NOUN ajst-19146 119 12 propagate propagate VERB ajst-19146 119 13 progressively progressively ADV ajst-19146 119 14 further far ADV ajst-19146 119 15 away away ADV ajst-19146 119 16 the the DET ajst-19146 119 17 source source NOUN ajst-19146 119 18 along along ADP ajst-19146 119 19 the the DET ajst-19146 119 20 boundary boundary NOUN ajst-19146 119 21 . . PUNCT ajst-19146 120 1 fig fig NOUN ajst-19146 120 2 . . PUNCT ajst-19146 121 1 6 6 NUM ajst-19146 121 2 ( ( PUNCT ajst-19146 121 3 a a NOUN ajst-19146 121 4 ) ) PUNCT ajst-19146 121 5 depicts depict VERB ajst-19146 121 6 the the DET ajst-19146 121 7 propagation propagation NOUN ajst-19146 121 8 distance distance NOUN ajst-19146 121 9 of of ADP ajst-19146 121 10 sound sound ADJ ajst-19146 121 11 waves wave NOUN ajst-19146 121 12 at at ADP ajst-19146 121 13 different different ADJ ajst-19146 121 14 frequencies frequency NOUN ajst-19146 121 15 . . PUNCT ajst-19146 122 1 the the DET ajst-19146 122 2 sound sound ADJ ajst-19146 122 3 pressure pressure NOUN ajst-19146 122 4 fields field NOUN ajst-19146 122 5 with with ADP ajst-19146 122 6 incident incident NOUN ajst-19146 122 7 frequencies frequency NOUN ajst-19146 122 8 of of ADP ajst-19146 122 9 22.50π‘˜π»π‘§ 22.50π‘˜π»π‘§ NUM ajst-19146 122 10 , , PUNCT ajst-19146 122 11 22.66π‘˜π»π‘§ 22.66π‘˜π»π‘§ NUM ajst-19146 122 12 , , PUNCT ajst-19146 122 13 22.82π‘˜π»π‘§ 22.82π‘˜π»π‘§ PROPN ajst-19146 122 14 and and CCONJ ajst-19146 122 15 23.18π‘˜π»π‘§ 23.18π‘˜π»π‘§ NUM ajst-19146 122 16 are be AUX ajst-19146 122 17 shown show VERB ajst-19146 122 18 in in ADP ajst-19146 122 19 fig fig NOUN ajst-19146 122 20 . . PUNCT ajst-19146 123 1 6 6 NUM ajst-19146 123 2 ( ( PUNCT ajst-19146 123 3 b b NOUN ajst-19146 123 4 ) ) PUNCT ajst-19146 123 5 . . PUNCT ajst-19146 124 1 it it PRON ajst-19146 124 2 can can AUX ajst-19146 124 3 be be AUX ajst-19146 124 4 observed observe VERB ajst-19146 124 5 that that SCONJ ajst-19146 124 6 as as ADP ajst-19146 124 7 the the DET ajst-19146 124 8 rotation rotation NOUN ajst-19146 124 9 angle angle NOUN ajst-19146 124 10 increases increase NOUN ajst-19146 124 11 , , PUNCT ajst-19146 124 12 the the DET ajst-19146 124 13 frequencies frequency NOUN ajst-19146 124 14 of of ADP ajst-19146 124 15 the the DET ajst-19146 124 16 edge edge NOUN ajst-19146 124 17 state state NOUN ajst-19146 124 18 also also ADV ajst-19146 124 19 increase increase VERB ajst-19146 124 20 , , PUNCT ajst-19146 124 21 resulting result VERB ajst-19146 124 22 in in ADP ajst-19146 124 23 a a DET ajst-19146 124 24 progressively progressively ADV ajst-19146 124 25 longer long ADJ ajst-19146 124 26 propagation propagation NOUN ajst-19146 124 27 distance distance NOUN ajst-19146 124 28 along along ADP ajst-19146 124 29 the the DET ajst-19146 124 30 boundary boundary NOUN ajst-19146 124 31 . . PUNCT ajst-19146 125 1 this this DET ajst-19146 125 2 phenomenon phenomenon NOUN ajst-19146 125 3 validates validate VERB ajst-19146 125 4 the the DET ajst-19146 125 5 successful successful ADJ ajst-19146 125 6 realization realization NOUN ajst-19146 125 7 of of ADP ajst-19146 125 8 the the DET ajst-19146 125 9 rainbow rainbow NOUN ajst-19146 125 10 structure structure NOUN ajst-19146 125 11 , , PUNCT ajst-19146 125 12 thereby thereby ADV ajst-19146 125 13 offering offer VERB ajst-19146 125 14 a a DET ajst-19146 125 15 novel novel ADJ ajst-19146 125 16 approach approach NOUN ajst-19146 125 17 towards towards ADP ajst-19146 125 18 achieving achieve VERB ajst-19146 125 19 a a DET ajst-19146 125 20 multidirectional multidirectional ADJ ajst-19146 125 21 underwater underwater NOUN ajst-19146 125 22 rainbow rainbow NOUN ajst-19146 125 23 effect effect NOUN ajst-19146 125 24 . . PUNCT ajst-19146 126 1 5 5 X ajst-19146 126 2 . . X ajst-19146 126 3 summary summary NOUN ajst-19146 126 4 in in ADP ajst-19146 126 5 conclusion conclusion NOUN ajst-19146 126 6 , , PUNCT ajst-19146 126 7 this this DET ajst-19146 126 8 letter letter NOUN ajst-19146 126 9 investigates investigate VERB ajst-19146 126 10 the the DET ajst-19146 126 11 acoustic acoustic ADJ ajst-19146 126 12 rainbow rainbow NOUN ajst-19146 126 13 effect effect NOUN ajst-19146 126 14 based base VERB ajst-19146 126 15 on on ADP ajst-19146 126 16 the the DET ajst-19146 126 17 design design NOUN ajst-19146 126 18 of of ADP ajst-19146 126 19 gradient gradient ADJ ajst-19146 126 20 two two NUM ajst-19146 126 21 - - PUNCT ajst-19146 126 22 dimensional dimensional ADJ ajst-19146 126 23 phononic phononic ADJ ajst-19146 126 24 crystal crystal NOUN ajst-19146 126 25 structures structure NOUN ajst-19146 126 26 . . PUNCT ajst-19146 127 1 the the DET ajst-19146 127 2 structure structure NOUN ajst-19146 127 3 - - PUNCT ajst-19146 127 4 dependent dependent ADJ ajst-19146 127 5 rotation rotation NOUN ajst-19146 127 6 parameter parameter NOUN ajst-19146 127 7 πœƒ πœƒ NOUN ajst-19146 127 8 is be AUX ajst-19146 127 9 used use VERB ajst-19146 127 10 to to PART ajst-19146 127 11 open open VERB ajst-19146 127 12 the the DET ajst-19146 127 13 bandgap bandgap NOUN ajst-19146 127 14 and and CCONJ ajst-19146 127 15 generate generate VERB ajst-19146 127 16 the the DET ajst-19146 127 17 edge edge NOUN ajst-19146 127 18 states state NOUN ajst-19146 127 19 . . PUNCT ajst-19146 128 1 by by ADP ajst-19146 128 2 choosing choose VERB ajst-19146 128 3 the the DET ajst-19146 128 4 appropriate appropriate ADJ ajst-19146 128 5 rotation rotation NOUN ajst-19146 128 6 angle angle NOUN ajst-19146 128 7 , , PUNCT ajst-19146 128 8 the the DET ajst-19146 128 9 gradient gradient NOUN ajst-19146 128 10 structure structure NOUN ajst-19146 128 11 is be AUX ajst-19146 128 12 artfully artfully ADV ajst-19146 128 13 designed design VERB ajst-19146 128 14 . . PUNCT ajst-19146 129 1 the the DET ajst-19146 129 2 simulation simulation NOUN ajst-19146 129 3 results result NOUN ajst-19146 129 4 demonstrate demonstrate VERB ajst-19146 129 5 that that SCONJ ajst-19146 129 6 the the DET ajst-19146 129 7 sound sound ADJ ajst-19146 129 8 waves wave NOUN ajst-19146 129 9 with with ADP ajst-19146 129 10 different different ADJ ajst-19146 129 11 incident incident NOUN ajst-19146 129 12 directions direction NOUN ajst-19146 129 13 produce produce VERB ajst-19146 129 14 the the DET ajst-19146 129 15 different different ADJ ajst-19146 129 16 rainbow rainbow NOUN ajst-19146 129 17 effects effect NOUN ajst-19146 129 18 , , PUNCT ajst-19146 129 19 which which PRON ajst-19146 129 20 are be AUX ajst-19146 129 21 determined determine VERB ajst-19146 129 22 by by ADP ajst-19146 129 23 the the DET ajst-19146 129 24 inherent inherent ADJ ajst-19146 129 25 property property NOUN ajst-19146 129 26 of of ADP ajst-19146 129 27 the the DET ajst-19146 129 28 gradient gradient NOUN ajst-19146 129 29 structure structure NOUN ajst-19146 129 30 . . PUNCT ajst-19146 130 1 furthermore furthermore ADV ajst-19146 130 2 , , PUNCT ajst-19146 130 3 we we PRON ajst-19146 130 4 also also ADV ajst-19146 130 5 verify verify VERB ajst-19146 130 6 the the DET ajst-19146 130 7 symmetric symmetric ADJ ajst-19146 130 8 transmission transmission NOUN ajst-19146 130 9 of of ADP ajst-19146 130 10 sound sound ADJ ajst-19146 130 11 rainbow rainbow NOUN ajst-19146 130 12 capture capture NOUN ajst-19146 130 13 in in ADP ajst-19146 130 14 the the DET ajst-19146 130 15 simulation simulation NOUN ajst-19146 130 16 . . PUNCT ajst-19146 131 1 this this DET ajst-19146 131 2 work work NOUN ajst-19146 131 3 may may AUX ajst-19146 131 4 provide provide VERB ajst-19146 131 5 a a DET ajst-19146 131 6 new new ADJ ajst-19146 131 7 reference reference NOUN ajst-19146 131 8 for for ADP ajst-19146 131 9 the the DET ajst-19146 131 10 transmission transmission NOUN ajst-19146 131 11 and and CCONJ ajst-19146 131 12 manipulation manipulation NOUN ajst-19146 131 13 of of ADP ajst-19146 131 14 sound sound ADJ ajst-19146 131 15 waves wave NOUN ajst-19146 131 16 in in ADP ajst-19146 131 17 water water NOUN ajst-19146 131 18 . . PUNCT ajst-19146 132 1 references reference NOUN ajst-19146 132 2 [ [ X ajst-19146 132 3 1 1 NUM ajst-19146 132 4 ] ] X ajst-19146 132 5 lilly lilly PROPN ajst-19146 132 6 , , PUNCT ajst-19146 132 7 j.g j.g PROPN ajst-19146 132 8 . . PROPN ajst-19146 132 9 mechanical mechanical ADJ ajst-19146 132 10 noise noise NOUN ajst-19146 132 11 and and CCONJ ajst-19146 132 12 vibration vibration NOUN ajst-19146 132 13 control control NOUN ajst-19146 132 14 . . PUNCT ajst-19146 133 1 the the DET ajst-19146 133 2 journal journal NOUN ajst-19146 133 3 of of ADP ajst-19146 133 4 the the DET ajst-19146 133 5 acoustical acoustical ADJ ajst-19146 133 6 society society NOUN ajst-19146 133 7 of of ADP ajst-19146 133 8 america america PROPN ajst-19146 133 9 2021 2021 NUM ajst-19146 133 10 , , PUNCT ajst-19146 133 11 150 150 NUM ajst-19146 133 12 , , PUNCT ajst-19146 133 13 a23 a23 PROPN ajst-19146 133 14 - - PUNCT ajst-19146 133 15 a23 a23 PROPN ajst-19146 133 16 , , PUNCT ajst-19146 133 17 doi:10.1121/10.0007495 doi:10.1121/10.0007495 PROPN ajst-19146 133 18 . . PUNCT ajst-19146 134 1 [ [ X ajst-19146 134 2 2 2 NUM ajst-19146 134 3 ] ] X ajst-19146 134 4 zhang zhang PROPN ajst-19146 134 5 , , PUNCT ajst-19146 134 6 x.h x.h PROPN ajst-19146 134 7 . . PROPN ajst-19146 134 8 ; ; PUNCT ajst-19146 134 9 qu qu PROPN ajst-19146 134 10 , , PUNCT ajst-19146 134 11 z.g z.g PROPN ajst-19146 134 12 . . PROPN ajst-19146 134 13 ; ; PUNCT ajst-19146 134 14 tian tian PROPN ajst-19146 134 15 , , PUNCT ajst-19146 134 16 d. d. PROPN ajst-19146 134 17 ; ; PUNCT ajst-19146 134 18 fang fang X ajst-19146 134 19 , , PUNCT ajst-19146 134 20 y. y. PROPN ajst-19146 134 21 acoustic acoustic ADJ ajst-19146 134 22 characteristics characteristic NOUN ajst-19146 134 23 of of ADP ajst-19146 134 24 continuously continuously ADV ajst-19146 134 25 graded grade VERB ajst-19146 134 26 phononic phononic ADJ ajst-19146 134 27 crystals crystal NOUN ajst-19146 134 28 . . PUNCT ajst-19146 135 1 applied apply VERB ajst-19146 135 2 acoustics acoustic NOUN ajst-19146 135 3 2019 2019 NUM ajst-19146 135 4 , , PUNCT ajst-19146 135 5 151 151 NUM ajst-19146 135 6 , , PUNCT ajst-19146 135 7 22 22 NUM ajst-19146 135 8 - - SYM ajst-19146 135 9 29 29 NUM ajst-19146 135 10 , , PUNCT ajst-19146 135 11 doi doi NOUN ajst-19146 135 12 : : PUNCT ajst-19146 135 13 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 135 14 / / SYM ajst-19146 135 15 j.apacoust.2019.03.002 j.apacoust.2019.03.002 NOUN ajst-19146 135 16 . . PUNCT ajst-19146 136 1 [ [ X ajst-19146 136 2 3 3 NUM ajst-19146 136 3 ] ] X ajst-19146 136 4 zhang zhang PROPN ajst-19146 136 5 , , PUNCT ajst-19146 136 6 x. x. PROPN ajst-19146 136 7 ; ; PUNCT ajst-19146 136 8 qu qu PROPN ajst-19146 136 9 , , PUNCT ajst-19146 136 10 z. z. PROPN ajst-19146 136 11 ; ; PUNCT ajst-19146 136 12 xu xu INTJ ajst-19146 136 13 , , PUNCT ajst-19146 136 14 y. y. PROPN ajst-19146 136 15 enhanced enhance VERB ajst-19146 136 16 sound sound NOUN ajst-19146 136 17 absorption absorption NOUN ajst-19146 136 18 in in ADP ajst-19146 136 19 twodimensional twodimensional ADJ ajst-19146 136 20 continuously continuously ADV ajst-19146 136 21 graded grade VERB ajst-19146 136 22 phononic phononic ADJ ajst-19146 136 23 crystals crystal NOUN ajst-19146 136 24 . . PUNCT ajst-19146 137 1 japanese japanese ADJ ajst-19146 137 2 journal journal PROPN ajst-19146 137 3 of of ADP ajst-19146 137 4 applied apply VERB ajst-19146 137 5 physics physics NOUN ajst-19146 137 6 2019 2019 NUM ajst-19146 137 7 , , PUNCT ajst-19146 137 8 58 58 NUM ajst-19146 137 9 , , PUNCT ajst-19146 137 10 090904 090904 NUM ajst-19146 137 11 , , PUNCT ajst-19146 137 12 doi:10.7567/1347 doi:10.7567/1347 NOUN ajst-19146 137 13 - - PUNCT ajst-19146 137 14 4065 4065 NUM ajst-19146 137 15 / / SYM ajst-19146 137 16 ab3686 ab3686 ADJ ajst-19146 137 17 . . PUNCT ajst-19146 138 1 [ [ X ajst-19146 138 2 4 4 NUM ajst-19146 138 3 ] ] X ajst-19146 138 4 dong dong PROPN ajst-19146 138 5 , , PUNCT ajst-19146 138 6 q. q. PROPN ajst-19146 138 7 ; ; PUNCT ajst-19146 138 8 liu liu PROPN ajst-19146 138 9 , , PUNCT ajst-19146 138 10 h. h. PROPN ajst-19146 138 11 a a DET ajst-19146 138 12 bio bio ADJ ajst-19146 138 13 - - PUNCT ajst-19146 138 14 inspired inspire VERB ajst-19146 138 15 sound sound NOUN ajst-19146 138 16 source source NOUN ajst-19146 138 17 localization localization NOUN ajst-19146 138 18 sensor sensor NOUN ajst-19146 138 19 with with ADP ajst-19146 138 20 internal internal ADJ ajst-19146 138 21 coupling coupling NOUN ajst-19146 138 22 . . PUNCT ajst-19146 139 1 the the DET ajst-19146 139 2 journal journal NOUN ajst-19146 139 3 of of ADP ajst-19146 139 4 the the DET ajst-19146 139 5 acoustical acoustical ADJ ajst-19146 139 6 society society NOUN ajst-19146 139 7 of of ADP ajst-19146 139 8 america america PROPN ajst-19146 139 9 2019 2019 NUM ajst-19146 139 10 , , PUNCT ajst-19146 139 11 145 145 NUM ajst-19146 139 12 , , PUNCT ajst-19146 139 13 1864 1864 NUM ajst-19146 139 14 - - SYM ajst-19146 139 15 1864 1864 NUM ajst-19146 139 16 , , PUNCT ajst-19146 139 17 doi:10.1121/1.5101734 doi:10.1121/1.5101734 INTJ ajst-19146 139 18 . . PUNCT ajst-19146 140 1 [ [ X ajst-19146 140 2 5 5 NUM ajst-19146 140 3 ] ] PUNCT ajst-19146 140 4 yves yve NOUN ajst-19146 140 5 , , PUNCT ajst-19146 140 6 s. s. PROPN ajst-19146 140 7 ; ; PUNCT ajst-19146 140 8 ni ni PROPN ajst-19146 140 9 , , PUNCT ajst-19146 140 10 x. x. PROPN ajst-19146 140 11 ; ; PUNCT ajst-19146 140 12 alΓΉ alΓΉ PROPN ajst-19146 140 13 , , PUNCT ajst-19146 140 14 a. a. PROPN ajst-19146 140 15 topological topological PROPN ajst-19146 140 16 sound sound NOUN ajst-19146 140 17 in in ADP ajst-19146 140 18 two two NUM ajst-19146 140 19 dimensions dimension NOUN ajst-19146 140 20 . . PUNCT ajst-19146 141 1 annals annal NOUN ajst-19146 141 2 of of ADP ajst-19146 141 3 the the DET ajst-19146 141 4 new new PROPN ajst-19146 141 5 york york PROPN ajst-19146 141 6 academy academy PROPN ajst-19146 141 7 of of ADP ajst-19146 141 8 sciences sciences PROPN ajst-19146 141 9 2022 2022 NUM ajst-19146 141 10 , , PUNCT ajst-19146 141 11 1517 1517 NUM ajst-19146 141 12 , , PUNCT ajst-19146 141 13 6377 6377 NUM ajst-19146 141 14 , , PUNCT ajst-19146 141 15 doi doi NOUN ajst-19146 141 16 : : PUNCT ajst-19146 141 17 https://doi.org/10.1111 https://doi.org/10.1111 PROPN ajst-19146 141 18 / / SYM ajst-19146 141 19 nyas.14885 nyas.14885 PROPN ajst-19146 141 20 . . PUNCT ajst-19146 142 1 [ [ X ajst-19146 142 2 6 6 NUM ajst-19146 142 3 ] ] X ajst-19146 142 4 cselyuszka cselyuszka NOUN ajst-19146 142 5 , , PUNCT ajst-19146 142 6 n. n. PROPN ajst-19146 142 7 ; ; PUNCT ajst-19146 142 8 alΓΉ alΓΉ PROPN ajst-19146 142 9 , , PUNCT ajst-19146 142 10 a. a. NOUN ajst-19146 142 11 ; ; PUNCT ajst-19146 142 12 jankoviΔ‡ jankoviΔ‡ PROPN ajst-19146 142 13 , , PUNCT ajst-19146 142 14 n. n. NOUN ajst-19146 142 15 spoof spoof NOUN ajst-19146 142 16 - - PUNCT ajst-19146 142 17 fluid fluid NOUN ajst-19146 142 18 - - PUNCT ajst-19146 142 19 spoof spoof ADJ ajst-19146 142 20 acoustic acoustic ADJ ajst-19146 142 21 waveguide waveguide NOUN ajst-19146 142 22 and and CCONJ ajst-19146 142 23 its its PRON ajst-19146 142 24 applications application NOUN ajst-19146 142 25 for for ADP ajst-19146 142 26 sound sound ADJ ajst-19146 142 27 manipulation manipulation NOUN ajst-19146 142 28 . . PUNCT ajst-19146 143 1 physical physical ADJ ajst-19146 143 2 review review NOUN ajst-19146 143 3 applied apply VERB ajst-19146 143 4 2019 2019 NUM ajst-19146 143 5 , , PUNCT ajst-19146 143 6 12 12 NUM ajst-19146 143 7 , , PUNCT ajst-19146 143 8 054014 054014 NUM ajst-19146 143 9 , , PUNCT ajst-19146 143 10 doi:10.1103 doi:10.1103 X ajst-19146 143 11 / / SYM ajst-19146 143 12 physrevapplied.12.054014 physrevapplied.12.054014 NOUN ajst-19146 143 13 . . PUNCT ajst-19146 144 1 [ [ X ajst-19146 144 2 7 7 NUM ajst-19146 144 3 ] ] SYM ajst-19146 144 4 wu wu PROPN ajst-19146 144 5 , , PUNCT ajst-19146 144 6 f. f. PROPN ajst-19146 144 7 ; ; PUNCT ajst-19146 144 8 liu liu PROPN ajst-19146 144 9 , , PUNCT ajst-19146 144 10 z. z. PROPN ajst-19146 144 11 ; ; PUNCT ajst-19146 144 12 liu liu PROPN ajst-19146 144 13 , , PUNCT ajst-19146 144 14 y. y. PROPN ajst-19146 144 15 acoustic acoustic ADJ ajst-19146 144 16 band band NOUN ajst-19146 144 17 gaps gap NOUN ajst-19146 144 18 created create VERB ajst-19146 144 19 by by ADP ajst-19146 144 20 rotating rotate VERB ajst-19146 144 21 square square ADJ ajst-19146 144 22 rods rod NOUN ajst-19146 144 23 in in ADP ajst-19146 144 24 a a DET ajst-19146 144 25 two two NUM ajst-19146 144 26 - - PUNCT ajst-19146 144 27 dimensional dimensional ADJ ajst-19146 144 28 lattice lattice NOUN ajst-19146 144 29 . . PUNCT ajst-19146 145 1 physical physical ADJ ajst-19146 145 2 review review PROPN ajst-19146 145 3 e e PROPN ajst-19146 145 4 2002 2002 NUM ajst-19146 145 5 , , PUNCT ajst-19146 145 6 66 66 NUM ajst-19146 145 7 , , PUNCT ajst-19146 145 8 046628 046628 NUM ajst-19146 145 9 , , PUNCT ajst-19146 145 10 doi:10.1103 doi:10.1103 X ajst-19146 145 11 / / SYM ajst-19146 145 12 physreve.66.046628 physreve.66.046628 NOUN ajst-19146 145 13 . . PUNCT ajst-19146 146 1 [ [ X ajst-19146 146 2 8 8 NUM ajst-19146 146 3 ] ] X ajst-19146 146 4 jia jia PROPN ajst-19146 146 5 , , PUNCT ajst-19146 146 6 z. z. PROPN ajst-19146 146 7 ; ; PUNCT ajst-19146 146 8 bao bao PROPN ajst-19146 146 9 , , PUNCT ajst-19146 146 10 y. y. PROPN ajst-19146 146 11 ; ; PUNCT ajst-19146 146 12 luo luo PROPN ajst-19146 146 13 , , PUNCT ajst-19146 146 14 y. y. PROPN ajst-19146 146 15 ; ; PUNCT ajst-19146 146 16 wang wang PROPN ajst-19146 146 17 , , PUNCT ajst-19146 146 18 d. d. PROPN ajst-19146 146 19 ; ; PUNCT ajst-19146 146 20 zhang zhang PROPN ajst-19146 146 21 , , PUNCT ajst-19146 146 22 x. x. PROPN ajst-19146 146 23 ; ; PUNCT ajst-19146 146 24 kang kang PROPN ajst-19146 146 25 , , PUNCT ajst-19146 146 26 z. z. PROPN ajst-19146 146 27 maximizing maximize VERB ajst-19146 146 28 acoustic acoustic ADJ ajst-19146 146 29 band band NOUN ajst-19146 146 30 gap gap NOUN ajst-19146 146 31 in in ADP ajst-19146 146 32 phononic phononic ADJ ajst-19146 146 33 crystals crystal NOUN ajst-19146 146 34 via via ADP ajst-19146 146 35 topology topology NOUN ajst-19146 146 36 optimization optimization NOUN ajst-19146 146 37 . . PUNCT ajst-19146 147 1 international international ADJ ajst-19146 147 2 journal journal PROPN ajst-19146 147 3 of of ADP ajst-19146 147 4 mechanical mechanical ADJ ajst-19146 147 5 sciences science NOUN ajst-19146 147 6 2024 2024 NUM ajst-19146 147 7 , , PUNCT ajst-19146 147 8 270 270 NUM ajst-19146 147 9 , , PUNCT ajst-19146 147 10 109107 109107 NUM ajst-19146 147 11 , , PUNCT ajst-19146 147 12 doi doi NOUN ajst-19146 147 13 : : PUNCT ajst-19146 147 14 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 147 15 / / SYM ajst-19146 147 16 j.ijmecsci.2024.109107 j.ijmecsci.2024.109107 NOUN ajst-19146 147 17 . . PUNCT ajst-19146 148 1 [ [ X ajst-19146 148 2 9 9 NUM ajst-19146 148 3 ] ] X ajst-19146 148 4 zhang zhang PROPN ajst-19146 148 5 , , PUNCT ajst-19146 148 6 x. x. PROPN ajst-19146 148 7 ; ; PUNCT ajst-19146 148 8 li li PROPN ajst-19146 148 9 , , PUNCT ajst-19146 148 10 w. w. PROPN ajst-19146 148 11 ; ; PUNCT ajst-19146 148 12 zeng zeng PROPN ajst-19146 148 13 , , PUNCT ajst-19146 148 14 z. z. PROPN ajst-19146 148 15 ; ; PUNCT ajst-19146 148 16 wang wang PROPN ajst-19146 148 17 , , PUNCT ajst-19146 148 18 z. z. PROPN ajst-19146 148 19 simple simple ADJ ajst-19146 148 20 broadband broadband NOUN ajst-19146 148 21 planar planar ADJ ajst-19146 148 22 acoustic acoustic ADJ ajst-19146 148 23 lenses lense NOUN ajst-19146 148 24 design design VERB ajst-19146 148 25 with with ADP ajst-19146 148 26 a a DET ajst-19146 148 27 velocity velocity NOUN ajst-19146 148 28 gradient gradient NOUN ajst-19146 148 29 structure structure NOUN ajst-19146 148 30 . . PUNCT ajst-19146 149 1 applied apply VERB ajst-19146 149 2 acoustics acoustic NOUN ajst-19146 149 3 2024 2024 NUM ajst-19146 149 4 , , PUNCT ajst-19146 149 5 217 217 NUM ajst-19146 149 6 , , PUNCT ajst-19146 149 7 109832 109832 NUM ajst-19146 149 8 , , PUNCT ajst-19146 149 9 doi doi NOUN ajst-19146 149 10 : : PUNCT ajst-19146 149 11 https://doi.org/10.1016 https://doi.org/10.1016 NOUN ajst-19146 149 12 / / SYM ajst-19146 149 13 j.apacoust.2023.109832 j.apacoust.2023.109832 NOUN ajst-19146 149 14 . . PUNCT ajst-19146 150 1 [ [ X ajst-19146 150 2 10 10 NUM ajst-19146 150 3 ] ] X ajst-19146 150 4 zhang zhang PROPN ajst-19146 150 5 , , PUNCT ajst-19146 150 6 h. h. PROPN ajst-19146 150 7 ; ; PUNCT ajst-19146 150 8 he he PRON ajst-19146 150 9 , , PUNCT ajst-19146 150 10 j. j. PROPN ajst-19146 150 11 ; ; PUNCT ajst-19146 150 12 liu liu PROPN ajst-19146 150 13 , , PUNCT ajst-19146 150 14 c. c. PROPN ajst-19146 150 15 ; ; PUNCT ajst-19146 150 16 ma ma PROPN ajst-19146 150 17 , , PUNCT ajst-19146 150 18 f. f. PROPN ajst-19146 150 19 a a DET ajst-19146 150 20 wideband wideband ADJ ajst-19146 150 21 acoustic acoustic ADJ ajst-19146 150 22 cloak cloak NOUN ajst-19146 150 23 based base VERB ajst-19146 150 24 on on ADP ajst-19146 150 25 radar radar NOUN ajst-19146 150 26 cross cross NOUN ajst-19146 150 27 section section NOUN ajst-19146 150 28 reduction reduction NOUN ajst-19146 150 29 and and CCONJ ajst-19146 150 30 sound sound NOUN ajst-19146 150 31 absorption absorption NOUN ajst-19146 150 32 . . PUNCT ajst-19146 151 1 applied apply VERB ajst-19146 151 2 acoustics acoustic NOUN ajst-19146 151 3 2023 2023 NUM ajst-19146 151 4 , , PUNCT ajst-19146 151 5 213 213 NUM ajst-19146 151 6 , , PUNCT ajst-19146 151 7 109639 109639 NUM ajst-19146 151 8 , , PUNCT ajst-19146 151 9 doi doi NOUN ajst-19146 151 10 : : PUNCT ajst-19146 151 11 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 151 12 / / SYM ajst-19146 151 13 j.apacoust.2023.109639 j.apacoust.2023.109639 NOUN ajst-19146 151 14 . . PUNCT ajst-19146 152 1 [ [ X ajst-19146 152 2 11 11 NUM ajst-19146 152 3 ] ] X ajst-19146 152 4 zhang zhang PROPN ajst-19146 152 5 , , PUNCT ajst-19146 152 6 h. h. PROPN ajst-19146 152 7 ; ; PUNCT ajst-19146 152 8 li li PROPN ajst-19146 152 9 , , PUNCT ajst-19146 152 10 r. r. PROPN ajst-19146 152 11 ; ; PUNCT ajst-19146 152 12 bao bao PROPN ajst-19146 152 13 , , PUNCT ajst-19146 152 14 y. y. PROPN ajst-19146 152 15 ; ; PUNCT ajst-19146 152 16 liu liu PROPN ajst-19146 152 17 , , PUNCT ajst-19146 152 18 x. x. PROPN ajst-19146 152 19 ; ; PUNCT ajst-19146 152 20 zhang zhang PROPN ajst-19146 152 21 , , PUNCT ajst-19146 152 22 y. y. PROPN ajst-19146 152 23 total total ADJ ajst-19146 152 24 acoustic acoustic ADJ ajst-19146 152 25 transmission transmission NOUN ajst-19146 152 26 in in ADP ajst-19146 152 27 a a DET ajst-19146 152 28 honeycomb honeycomb NOUN ajst-19146 152 29 network network NOUN ajst-19146 152 30 empowered empower VERB ajst-19146 152 31 by by ADP ajst-19146 152 32 compact compact ADJ ajst-19146 152 33 acoustic acoustic ADJ ajst-19146 152 34 isolator isolator NOUN ajst-19146 152 35 . . PUNCT ajst-19146 153 1 scientific scientific ADJ ajst-19146 153 2 reports report NOUN ajst-19146 153 3 2023 2023 NUM ajst-19146 153 4 , , PUNCT ajst-19146 153 5 13 13 NUM ajst-19146 153 6 , , PUNCT ajst-19146 153 7 828 828 NUM ajst-19146 153 8 , , PUNCT ajst-19146 153 9 doi:10.1038 doi:10.1038 NOUN ajst-19146 153 10 / / SYM ajst-19146 153 11 s41598 s41598 NOUN ajst-19146 153 12 - - PUNCT ajst-19146 153 13 023 023 NUM ajst-19146 153 14 - - PUNCT ajst-19146 153 15 28097 28097 NUM ajst-19146 153 16 - - PUNCT ajst-19146 153 17 y. y. NOUN ajst-19146 154 1 [ [ X ajst-19146 154 2 12 12 NUM ajst-19146 154 3 ] ] X ajst-19146 154 4 li li PROPN ajst-19146 154 5 , , PUNCT ajst-19146 154 6 y. y. PROPN ajst-19146 154 7 ; ; PUNCT ajst-19146 154 8 huang huang PROPN ajst-19146 154 9 , , PUNCT ajst-19146 154 10 k. k. PROPN ajst-19146 154 11 ; ; PUNCT ajst-19146 154 12 gong gong NOUN ajst-19146 154 13 , , PUNCT ajst-19146 154 14 m. m. NOUN ajst-19146 154 15 ; ; PUNCT ajst-19146 154 16 sun sun PROPN ajst-19146 154 17 , , PUNCT ajst-19146 154 18 c. c. PROPN ajst-19146 154 19 ; ; PUNCT ajst-19146 154 20 gao gao PROPN ajst-19146 154 21 , , PUNCT ajst-19146 154 22 s. s. PROPN ajst-19146 154 23 ; ; PUNCT ajst-19146 154 24 lai lai PROPN ajst-19146 154 25 , , PUNCT ajst-19146 154 26 y. y. PROPN ajst-19146 154 27 ; ; PUNCT ajst-19146 154 28 liu liu PROPN ajst-19146 154 29 , , PUNCT ajst-19146 154 30 x. x. NOUN ajst-19146 154 31 realization realization NOUN ajst-19146 154 32 of of ADP ajst-19146 154 33 acoustic acoustic ADJ ajst-19146 154 34 tunable tunable ADJ ajst-19146 154 35 logic logic NOUN ajst-19146 154 36 gate gate NOUN ajst-19146 154 37 composed compose VERB ajst-19146 154 38 of of ADP ajst-19146 154 39 soft soft ADJ ajst-19146 154 40 materials material NOUN ajst-19146 154 41 . . PUNCT ajst-19146 155 1 results result NOUN ajst-19146 155 2 in in ADP ajst-19146 155 3 physics physics NOUN ajst-19146 155 4 2024 2024 NUM ajst-19146 155 5 , , PUNCT ajst-19146 155 6 57 57 NUM ajst-19146 155 7 , , PUNCT ajst-19146 155 8 107421 107421 NUM ajst-19146 155 9 , , PUNCT ajst-19146 155 10 doi doi NOUN ajst-19146 155 11 : : PUNCT ajst-19146 155 12 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 155 13 / / SYM ajst-19146 155 14 j.rinp.2024.107421 j.rinp.2024.107421 PROPN ajst-19146 155 15 . . PUNCT ajst-19146 156 1 [ [ X ajst-19146 156 2 13 13 NUM ajst-19146 156 3 ] ] X ajst-19146 156 4 kabir kabir NOUN ajst-19146 156 5 , , PUNCT ajst-19146 156 6 m. m. NOUN ajst-19146 156 7 ; ; PUNCT ajst-19146 156 8 kazari kazari PROPN ajst-19146 156 9 , , PUNCT ajst-19146 156 10 h. h. PROPN ajst-19146 156 11 ; ; PUNCT ajst-19146 156 12 ozevin ozevin PROPN ajst-19146 156 13 , , PUNCT ajst-19146 156 14 d. d. PROPN ajst-19146 156 15 piezoelectric piezoelectric PROPN ajst-19146 156 16 mems mem NOUN ajst-19146 156 17 acoustic acoustic ADJ ajst-19146 156 18 emission emission NOUN ajst-19146 156 19 sensors sensor NOUN ajst-19146 156 20 . . PUNCT ajst-19146 157 1 sensors sensor NOUN ajst-19146 157 2 and and CCONJ ajst-19146 157 3 actuators actuator NOUN ajst-19146 157 4 a a PRON ajst-19146 157 5 : : PUNCT ajst-19146 157 6 physical physical ADJ ajst-19146 157 7 2018 2018 NUM ajst-19146 157 8 , , PUNCT ajst-19146 157 9 279 279 NUM ajst-19146 157 10 , , PUNCT ajst-19146 157 11 53 53 NUM ajst-19146 157 12 - - SYM ajst-19146 157 13 64 64 NUM ajst-19146 157 14 , , PUNCT ajst-19146 157 15 doi doi NOUN ajst-19146 157 16 : : PUNCT ajst-19146 157 17 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 157 18 / / SYM ajst-19146 157 19 j.sna.2018.05.044 j.sna.2018.05.044 PROPN ajst-19146 157 20 . . PUNCT ajst-19146 158 1 [ [ X ajst-19146 158 2 14 14 NUM ajst-19146 158 3 ] ] X ajst-19146 158 4 esfahlani esfahlani PROPN ajst-19146 158 5 , , PUNCT ajst-19146 158 6 h. h. PROPN ajst-19146 158 7 ; ; PUNCT ajst-19146 158 8 byrne byrne PROPN ajst-19146 158 9 , , PUNCT ajst-19146 158 10 m.s m.s PROPN ajst-19146 158 11 . . PROPN ajst-19146 158 12 ; ; PUNCT ajst-19146 158 13 mcdermott mcdermott PROPN ajst-19146 158 14 , , PUNCT ajst-19146 158 15 m. m. NOUN ajst-19146 158 16 ; ; PUNCT ajst-19146 158 17 alΓΉ alΓΉ PROPN ajst-19146 158 18 , , PUNCT ajst-19146 158 19 a. a. NOUN ajst-19146 158 20 acoustic acoustic NOUN ajst-19146 158 21 supercoupling supercoupling NOUN ajst-19146 158 22 in in ADP ajst-19146 158 23 a a DET ajst-19146 158 24 zero zero NUM ajst-19146 158 25 - - PUNCT ajst-19146 158 26 compressibility compressibility NOUN ajst-19146 158 27 waveguide waveguide NOUN ajst-19146 158 28 . . PUNCT ajst-19146 159 1 research research NOUN ajst-19146 159 2 2019 2019 NUM ajst-19146 159 3 , , PUNCT ajst-19146 159 4 doi:10.34133/2019/2457870 doi:10.34133/2019/2457870 PROPN ajst-19146 159 5 . . PUNCT ajst-19146 160 1 [ [ X ajst-19146 160 2 15 15 NUM ajst-19146 160 3 ] ] X ajst-19146 160 4 chen chen PROPN ajst-19146 160 5 , , PUNCT ajst-19146 160 6 c. c. PROPN ajst-19146 160 7 ; ; PUNCT ajst-19146 160 8 chen chen PROPN ajst-19146 160 9 , , PUNCT ajst-19146 160 10 t. t. PROPN ajst-19146 160 11 ; ; PUNCT ajst-19146 160 12 ding ding PROPN ajst-19146 160 13 , , PUNCT ajst-19146 160 14 w. w. PROPN ajst-19146 160 15 ; ; PUNCT ajst-19146 160 16 yang yang PROPN ajst-19146 160 17 , , PUNCT ajst-19146 160 18 f. f. PROPN ajst-19146 160 19 ; ; PUNCT ajst-19146 160 20 zhu zhu PROPN ajst-19146 160 21 , , PUNCT ajst-19146 160 22 j. j. PROPN ajst-19146 160 23 ; ; PUNCT ajst-19146 160 24 yao yao PROPN ajst-19146 160 25 , , PUNCT ajst-19146 160 26 j. j. PROPN ajst-19146 160 27 impurity impurity NOUN ajst-19146 160 28 - - PUNCT ajst-19146 160 29 induced induce VERB ajst-19146 160 30 multi multi ADJ ajst-19146 160 31 - - ADJ ajst-19146 160 32 bit bit ADJ ajst-19146 160 33 acoustic acoustic ADJ ajst-19146 160 34 topological topological ADJ ajst-19146 160 35 system system NOUN ajst-19146 160 36 . . PUNCT ajst-19146 161 1 international international ADJ ajst-19146 161 2 journal journal PROPN ajst-19146 161 3 of of ADP ajst-19146 161 4 mechanical mechanical ADJ ajst-19146 161 5 sciences science NOUN ajst-19146 161 6 2023 2023 NUM ajst-19146 161 7 , , PUNCT ajst-19146 161 8 247 247 NUM ajst-19146 161 9 , , PUNCT ajst-19146 161 10 108183 108183 NUM ajst-19146 161 11 , , PUNCT ajst-19146 161 12 doi doi NOUN ajst-19146 161 13 : : PUNCT ajst-19146 161 14 https://doi.org/10.1016 https://doi.org/10.1016 PROPN ajst-19146 161 15 / / SYM ajst-19146 161 16 j.ijmecsci.2023.108183 j.ijmecsci.2023.108183 ADJ ajst-19146 161 17 . . PUNCT ajst-19146 162 1 [ [ X ajst-19146 162 2 16 16 NUM ajst-19146 162 3 ] ] PUNCT ajst-19146 162 4 abily abily ADV ajst-19146 162 5 , , PUNCT ajst-19146 162 6 t. t. PROPN ajst-19146 162 7 ; ; PUNCT ajst-19146 162 8 regnard regnard PROPN ajst-19146 162 9 , , PUNCT ajst-19146 162 10 j. j. PROPN ajst-19146 162 11 ; ; PUNCT ajst-19146 162 12 gabard gabard ADJ ajst-19146 162 13 , , PUNCT ajst-19146 162 14 g. g. PROPN ajst-19146 162 15 ; ; PUNCT ajst-19146 162 16 durand durand PROPN ajst-19146 162 17 , , PUNCT ajst-19146 162 18 s. s. PROPN ajst-19146 162 19 non non ADJ ajst-19146 162 20 - - ADJ ajst-19146 162 21 linear linear ADJ ajst-19146 162 22 effects effect NOUN ajst-19146 162 23 in in ADP ajst-19146 162 24 thin thin ADJ ajst-19146 162 25 slits slit NOUN ajst-19146 162 26 for for ADP ajst-19146 162 27 low low ADJ ajst-19146 162 28 frequency frequency NOUN ajst-19146 162 29 sound sound NOUN ajst-19146 162 30 absorption absorption NOUN ajst-19146 162 31 . . PUNCT ajst-19146 163 1 journal journal PROPN ajst-19146 163 2 of of ADP ajst-19146 163 3 sound sound NOUN ajst-19146 163 4 and and CCONJ ajst-19146 163 5 vibration vibration NOUN ajst-19146 163 6 2023 2023 NUM ajst-19146 163 7 , , PUNCT ajst-19146 163 8 546 546 NUM ajst-19146 163 9 , , PUNCT ajst-19146 163 10 117432 117432 NUM ajst-19146 163 11 , , PUNCT ajst-19146 163 12 doi doi NOUN ajst-19146 163 13 : : PUNCT ajst-19146 163 14 https://doi.org/10.1016 https://doi.org/10.1016 NOUN ajst-19146 163 15 / / SYM ajst-19146 163 16 j.jsv.2022.117432 j.jsv.2022.117432 NOUN ajst-19146 163 17 . . PUNCT ajst-19146 164 1 [ [ X ajst-19146 164 2 17 17 NUM ajst-19146 164 3 ] ] SYM ajst-19146 164 4 pan pan PROPN ajst-19146 164 5 , , PUNCT ajst-19146 164 6 s. s. PROPN ajst-19146 164 7 ; ; PUNCT ajst-19146 164 8 you you PRON ajst-19146 164 9 , , PUNCT ajst-19146 164 10 r. r. PROPN ajst-19146 164 11 ; ; PUNCT ajst-19146 164 12 chen chen PROPN ajst-19146 164 13 , , PUNCT ajst-19146 164 14 x. x. PROPN ajst-19146 164 15 ; ; PUNCT ajst-19146 164 16 pan pan PROPN ajst-19146 164 17 , , PUNCT ajst-19146 164 18 w. w. PROPN ajst-19146 164 19 ; ; PUNCT ajst-19146 164 20 li li PROPN ajst-19146 164 21 , , PUNCT ajst-19146 164 22 q. q. PROPN ajst-19146 164 23 ; ; PUNCT ajst-19146 164 24 chen chen PROPN ajst-19146 164 25 , , PUNCT ajst-19146 164 26 x. x. NOUN ajst-19146 164 27 ; ; PUNCT ajst-19146 164 28 pang pang NOUN ajst-19146 164 29 , , PUNCT ajst-19146 164 30 w. w. PROPN ajst-19146 164 31 ; ; PUNCT ajst-19146 164 32 duan duan PROPN ajst-19146 164 33 , , PUNCT ajst-19146 164 34 x. x. NOUN ajst-19146 164 35 regulating regulate VERB ajst-19146 164 36 biomolecular biomolecular ADJ ajst-19146 164 37 surface surface NOUN ajst-19146 164 38 interactions interaction NOUN ajst-19146 164 39 using use VERB ajst-19146 164 40 tunable tunable ADJ ajst-19146 164 41 acoustic acoustic ADJ ajst-19146 164 42 streaming streaming NOUN ajst-19146 164 43 . . PUNCT ajst-19146 165 1 acs acs PROPN ajst-19146 165 2 sensors sensor NOUN ajst-19146 165 3 2023 2023 NUM ajst-19146 165 4 , , PUNCT ajst-19146 165 5 8 8 NUM ajst-19146 165 6 , , PUNCT ajst-19146 165 7 3458 3458 NUM ajst-19146 165 8 - - SYM ajst-19146 165 9 3467 3467 NUM ajst-19146 165 10 , , PUNCT ajst-19146 165 11 doi:10.1021 doi:10.1021 ADJ ajst-19146 165 12 / / SYM ajst-19146 165 13 acssensors.3c00982 acssensors.3c00982 PROPN ajst-19146 165 14 . . PUNCT ajst-19146 166 1 [ [ X ajst-19146 166 2 18 18 NUM ajst-19146 166 3 ] ] SYM ajst-19146 166 4 kosmas kosmas PROPN ajst-19146 166 5 , , PUNCT ajst-19146 166 6 l.t l.t PROPN ajst-19146 166 7 . . PROPN ajst-19146 166 8 ; ; PUNCT ajst-19146 166 9 ortwin ortwin PROPN ajst-19146 166 10 , , PUNCT ajst-19146 166 11 h. h. PROPN ajst-19146 166 12 slow slow PROPN ajst-19146 166 13 and and CCONJ ajst-19146 166 14 stopped stop VERB ajst-19146 166 15 light light NOUN ajst-19146 166 16 in in ADP ajst-19146 166 17 metamaterials metamaterial NOUN ajst-19146 166 18 : : PUNCT ajst-19146 166 19 the the DET ajst-19146 166 20 trapped trap VERB ajst-19146 166 21 rainbow rainbow NOUN ajst-19146 166 22 . . PUNCT ajst-19146 167 1 in in ADP ajst-19146 167 2 proceedings proceeding NOUN ajst-19146 167 3 of of ADP ajst-19146 167 4 the the DET ajst-19146 167 5 proc.spie proc.spie NOUN ajst-19146 167 6 , , PUNCT ajst-19146 167 7 2008 2008 NUM ajst-19146 167 8 ; ; PUNCT ajst-19146 167 9 p. p. NOUN ajst-19146 167 10 698702 698702 NUM ajst-19146 167 11 . . PUNCT ajst-19146 168 1 [ [ X ajst-19146 168 2 19 19 NUM ajst-19146 168 3 ] ] X ajst-19146 168 4 zhong zhong PROPN ajst-19146 168 5 , , PUNCT ajst-19146 168 6 z. z. PROPN ajst-19146 168 7 ; ; PUNCT ajst-19146 168 8 liu liu PROPN ajst-19146 168 9 , , PUNCT ajst-19146 168 10 t. t. PROPN ajst-19146 168 11 ; ; PUNCT ajst-19146 168 12 wu wu PROPN ajst-19146 168 13 , , PUNCT ajst-19146 168 14 h. h. PROPN ajst-19146 168 15 ; ; PUNCT ajst-19146 168 16 qiu qiu PROPN ajst-19146 168 17 , , PUNCT ajst-19146 168 18 j. j. PROPN ajst-19146 168 19 ; ; PUNCT ajst-19146 168 20 du du PROPN ajst-19146 168 21 , , PUNCT ajst-19146 168 22 b. b. PROPN ajst-19146 168 23 ; ; PUNCT ajst-19146 168 24 yin yin PROPN ajst-19146 168 25 , , PUNCT ajst-19146 168 26 g. g. PROPN ajst-19146 168 27 ; ; PUNCT ajst-19146 168 28 zhu zhu PROPN ajst-19146 168 29 , , PUNCT ajst-19146 168 30 t. t. PROPN ajst-19146 168 31 high high ADJ ajst-19146 168 32 - - PUNCT ajst-19146 168 33 spatial spatial ADJ ajst-19146 168 34 - - PUNCT ajst-19146 168 35 resolution resolution NOUN ajst-19146 168 36 distributed distribute VERB ajst-19146 168 37 acoustic acoustic ADJ ajst-19146 168 38 sensor sensor NOUN ajst-19146 168 39 based base VERB ajst-19146 168 40 on on ADP ajst-19146 168 41 the the DET ajst-19146 168 42 time time NOUN ajst-19146 168 43 - - PUNCT ajst-19146 168 44 frequency frequency NOUN ajst-19146 168 45 - - PUNCT ajst-19146 168 46 multiplexing multiplexing NOUN ajst-19146 168 47 ofdr ofdr ADJ ajst-19146 168 48 . . PUNCT ajst-19146 169 1 opt opt PROPN ajst-19146 169 2 . . PUNCT ajst-19146 170 1 lett lett PROPN ajst-19146 170 2 . . PUNCT ajst-19146 171 1 2023 2023 NUM ajst-19146 171 2 , , PUNCT ajst-19146 171 3 48 48 NUM ajst-19146 171 4 , , PUNCT ajst-19146 171 5 58035806 58035806 NUM ajst-19146 171 6 , , PUNCT ajst-19146 171 7 doi:10.1364 doi:10.1364 NOUN ajst-19146 171 8 / / SYM ajst-19146 171 9 ol.501253 ol.501253 PROPN ajst-19146 171 10 . . PUNCT ajst-19146 172 1 [ [ X ajst-19146 172 2 20 20 NUM ajst-19146 172 3 ] ] X ajst-19146 172 4 tian tian ADJ ajst-19146 172 5 , , PUNCT ajst-19146 172 6 y.-z y.-z PROPN ajst-19146 172 7 . . PUNCT ajst-19146 172 8 ; ; PUNCT ajst-19146 172 9 tang tang PROPN ajst-19146 172 10 , , PUNCT ajst-19146 172 11 x.-l x.-l PROPN ajst-19146 172 12 . . PUNCT ajst-19146 172 13 ; ; PUNCT ajst-19146 173 1 wang wang PROPN ajst-19146 173 2 , , PUNCT ajst-19146 173 3 y.-f y.-f PROPN ajst-19146 173 4 . . PUNCT ajst-19146 173 5 ; ; PUNCT ajst-19146 173 6 laude laude VERB ajst-19146 173 7 , , PUNCT ajst-19146 173 8 v. v. PROPN ajst-19146 173 9 ; ; PUNCT ajst-19146 173 10 wang wang PROPN ajst-19146 173 11 , , PUNCT ajst-19146 173 12 y.-s y.- NOUN ajst-19146 173 13 . . PUNCT ajst-19146 174 1 annular annular ADJ ajst-19146 174 2 acoustic acoustic ADJ ajst-19146 174 3 impedance impedance NOUN ajst-19146 174 4 metasurfaces metasurface NOUN ajst-19146 174 5 for for ADP ajst-19146 174 6 encrypted encrypt VERB ajst-19146 174 7 information information NOUN ajst-19146 174 8 storage storage NOUN ajst-19146 174 9 . . PUNCT ajst-19146 175 1 physical physical ADJ ajst-19146 175 2 review review NOUN ajst-19146 175 3 applied apply VERB ajst-19146 175 4 2023 2023 NUM ajst-19146 175 5 , , PUNCT ajst-19146 175 6 20 20 NUM ajst-19146 175 7 , , PUNCT ajst-19146 175 8 044053 044053 NUM ajst-19146 175 9 , , PUNCT ajst-19146 175 10 doi:10.1103 doi:10.1103 X ajst-19146 175 11 / / SYM ajst-19146 175 12 physrevapplied.20.044053 physrevapplied.20.044053 NOUN ajst-19146 175 13 . . PUNCT ajst-19146 176 1 [ [ X ajst-19146 176 2 21 21 NUM ajst-19146 176 3 ] ] X ajst-19146 176 4 gao gao PROPN ajst-19146 176 5 , , PUNCT ajst-19146 176 6 n. n. PROPN ajst-19146 176 7 ; ; PUNCT ajst-19146 176 8 wu wu PROPN ajst-19146 176 9 , , PUNCT ajst-19146 176 10 j.h j.h PROPN ajst-19146 176 11 . . PROPN ajst-19146 176 12 ; ; PUNCT ajst-19146 176 13 yu yu PROPN ajst-19146 176 14 , , PUNCT ajst-19146 176 15 l. l. PROPN ajst-19146 176 16 ; ; PUNCT ajst-19146 176 17 hou hou PROPN ajst-19146 176 18 , , PUNCT ajst-19146 176 19 h. h. PROPN ajst-19146 176 20 ultralow ultralow PROPN ajst-19146 176 21 frequency frequency NOUN ajst-19146 176 22 acoustic acoustic ADJ ajst-19146 176 23 bandgap bandgap NOUN ajst-19146 176 24 and and CCONJ ajst-19146 176 25 vibration vibration NOUN ajst-19146 176 26 energy energy NOUN ajst-19146 176 27 recovery recovery NOUN ajst-19146 176 28 in in ADP ajst-19146 176 29 tetragonal tetragonal ADJ ajst-19146 176 30 folding fold VERB ajst-19146 176 31 beam beam ADJ ajst-19146 176 32 phononic phononic ADJ ajst-19146 176 33 crystal crystal NOUN ajst-19146 176 34 . . PUNCT ajst-19146 177 1 international international ADJ ajst-19146 177 2 journal journal NOUN ajst-19146 177 3 of of ADP ajst-19146 177 4 modern modern ADJ ajst-19146 177 5 physics physics PROPN ajst-19146 177 6 b b PROPN ajst-19146 177 7 2016 2016 NUM ajst-19146 177 8 , , PUNCT ajst-19146 177 9 30 30 NUM ajst-19146 177 10 , , PUNCT ajst-19146 177 11 1650111 1650111 NUM ajst-19146 177 12 , , PUNCT ajst-19146 177 13 doi:10.1142 doi:10.1142 NOUN ajst-19146 177 14 / / SYM ajst-19146 177 15 s0217979216501113 s0217979216501113 PROPN ajst-19146 177 16 . . PUNCT ajst-19146 178 1 [ [ X ajst-19146 178 2 22 22 NUM ajst-19146 178 3 ] ] PUNCT ajst-19146 178 4 ghaderian ghaderian NOUN ajst-19146 178 5 , , PUNCT ajst-19146 178 6 p. p. PROPN ajst-19146 178 7 ; ; PUNCT ajst-19146 178 8 habibzadeh habibzadeh PROPN ajst-19146 178 9 - - PUNCT ajst-19146 178 10 sharif sharif PROPN ajst-19146 178 11 , , PUNCT ajst-19146 178 12 a. a. NOUN ajst-19146 178 13 rainbow rainbow NOUN ajst-19146 178 14 trapping trap VERB ajst-19146 178 15 and and CCONJ ajst-19146 178 16 releasing release VERB ajst-19146 178 17 in in ADV ajst-19146 178 18 graded grade VERB ajst-19146 178 19 grating grate VERB ajst-19146 178 20 graphene graphene NOUN ajst-19146 178 21 plasmonic plasmonic NOUN ajst-19146 178 22 waveguides waveguide NOUN ajst-19146 178 23 . . PUNCT ajst-19146 179 1 opt opt PROPN ajst-19146 179 2 . . PUNCT ajst-19146 180 1 express express VERB ajst-19146 180 2 2021 2021 NUM ajst-19146 180 3 , , PUNCT ajst-19146 180 4 29 29 NUM ajst-19146 180 5 , , PUNCT ajst-19146 180 6 3996 3996 NUM ajst-19146 180 7 - - SYM ajst-19146 180 8 4009 4009 NUM ajst-19146 180 9 , , PUNCT ajst-19146 180 10 doi:10.1364 doi:10.1364 NOUN ajst-19146 180 11 / / SYM ajst-19146 180 12 oe.414982 oe.414982 PROPN ajst-19146 180 13 . . PUNCT ajst-19146 181 1 [ [ X ajst-19146 181 2 23 23 NUM ajst-19146 181 3 ] ] X ajst-19146 181 4 hussein hussein PROPN ajst-19146 181 5 , , PUNCT ajst-19146 181 6 m. m. NOUN ajst-19146 181 7 ; ; PUNCT ajst-19146 181 8 hameed hameed PROPN ajst-19146 181 9 , , PUNCT ajst-19146 181 10 m.f.o m.f.o PROPN ajst-19146 181 11 . . PUNCT ajst-19146 181 12 ; ; PUNCT ajst-19146 181 13 areed areed NOUN ajst-19146 181 14 , , PUNCT ajst-19146 181 15 n.f.f n.f.f PROPN ajst-19146 181 16 . . PROPN ajst-19146 181 17 ; ; PUNCT ajst-19146 181 18 yahia yahia PROPN ajst-19146 181 19 , , PUNCT ajst-19146 181 20 a. a. PROPN ajst-19146 181 21 ; ; PUNCT ajst-19146 181 22 obayya obayya NOUN ajst-19146 181 23 , , PUNCT ajst-19146 181 24 s.s.a s.s.a ADJ ajst-19146 181 25 . . NOUN ajst-19146 181 26 funnel funnel NOUN ajst-19146 181 27 - - PUNCT ajst-19146 181 28 shaped shape VERB ajst-19146 181 29 silicon silicon NOUN ajst-19146 181 30 nanowire nanowire NOUN ajst-19146 181 31 for for ADP ajst-19146 181 32 highly highly ADV ajst-19146 181 33 efficient efficient ADJ ajst-19146 181 34 light light NOUN ajst-19146 181 35 trapping trapping NOUN ajst-19146 181 36 . . PUNCT ajst-19146 182 1 opt opt PROPN ajst-19146 182 2 . . PUNCT ajst-19146 183 1 lett lett PROPN ajst-19146 183 2 . . PROPN ajst-19146 184 1 2016 2016 NUM ajst-19146 184 2 , , PUNCT ajst-19146 184 3 41 41 NUM ajst-19146 184 4 , , PUNCT ajst-19146 184 5 1010 1010 NUM ajst-19146 184 6 - - SYM ajst-19146 184 7 1013 1013 NUM ajst-19146 184 8 , , PUNCT ajst-19146 184 9 doi:10.1364 doi:10.1364 NOUN ajst-19146 184 10 / / SYM ajst-19146 184 11 ol.41.001010 ol.41.001010 NOUN ajst-19146 184 12 . . PUNCT ajst-19146 185 1 [ [ X ajst-19146 185 2 24 24 NUM ajst-19146 185 3 ] ] SYM ajst-19146 185 4 xu xu PROPN ajst-19146 185 5 , , PUNCT ajst-19146 185 6 j. j. PROPN ajst-19146 185 7 ; ; PUNCT ajst-19146 185 8 xiao xiao PROPN ajst-19146 185 9 , , PUNCT ajst-19146 185 10 s. s. PROPN ajst-19146 185 11 ; ; PUNCT ajst-19146 185 12 he he PRON ajst-19146 185 13 , , PUNCT ajst-19146 185 14 p. p. PROPN ajst-19146 185 15 ; ; PUNCT ajst-19146 185 16 wang wang PROPN ajst-19146 185 17 , , PUNCT ajst-19146 185 18 y. y. PROPN ajst-19146 185 19 ; ; PUNCT ajst-19146 185 20 shen shen PROPN ajst-19146 185 21 , , PUNCT ajst-19146 185 22 y. y. PROPN ajst-19146 185 23 ; ; PUNCT ajst-19146 185 24 hong hong PROPN ajst-19146 185 25 , , PUNCT ajst-19146 185 26 l. l. PROPN ajst-19146 185 27 ; ; PUNCT ajst-19146 185 28 luo luo PROPN ajst-19146 185 29 , , PUNCT ajst-19146 185 30 y. y. PROPN ajst-19146 185 31 ; ; PUNCT ajst-19146 185 32 he he PRON ajst-19146 185 33 , , PUNCT ajst-19146 185 34 b. b. PROPN ajst-19146 185 35 realization realization NOUN ajst-19146 185 36 of of ADP ajst-19146 185 37 broadband broadband NOUN ajst-19146 185 38 truly truly ADV ajst-19146 185 39 rainbow rainbow VERB ajst-19146 185 40 trapping trap VERB ajst-19146 185 41 in in ADP ajst-19146 185 42 gradient gradient ADJ ajst-19146 185 43 - - PUNCT ajst-19146 185 44 index index NOUN ajst-19146 185 45 metamaterials metamaterial NOUN ajst-19146 185 46 . . PUNCT ajst-19146 186 1 opt opt PROPN ajst-19146 186 2 . . PUNCT ajst-19146 187 1 express express VERB ajst-19146 187 2 2022 2022 NUM ajst-19146 187 3 , , PUNCT ajst-19146 187 4 30 30 NUM ajst-19146 187 5 , , PUNCT ajst-19146 187 6 39413953 39413953 NUM ajst-19146 187 7 , , PUNCT ajst-19146 187 8 doi:10.1364 doi:10.1364 NOUN ajst-19146 187 9 / / SYM ajst-19146 187 10 oe.447874 oe.447874 PROPN ajst-19146 187 11 . . PUNCT ajst-19146 188 1 61 61 NUM ajst-19146 189 1 [ [ X ajst-19146 189 2 25 25 NUM ajst-19146 189 3 ] ] PUNCT ajst-19146 189 4 xu xu PROPN ajst-19146 189 5 , , PUNCT ajst-19146 189 6 z. z. PROPN ajst-19146 189 7 ; ; PUNCT ajst-19146 189 8 shi shi PROPN ajst-19146 189 9 , , PUNCT ajst-19146 189 10 j. j. PROPN ajst-19146 189 11 ; ; PUNCT ajst-19146 189 12 davis davis PROPN ajst-19146 189 13 , , PUNCT ajst-19146 189 14 r.j r.j PROPN ajst-19146 189 15 . . PROPN ajst-19146 189 16 ; ; PUNCT ajst-19146 189 17 yin yin PROPN ajst-19146 189 18 , , PUNCT ajst-19146 189 19 x. x. PROPN ajst-19146 189 20 ; ; PUNCT ajst-19146 189 21 sievenpiper sievenpiper NOUN ajst-19146 189 22 , , PUNCT ajst-19146 189 23 d.f d.f PROPN ajst-19146 189 24 . . PROPN ajst-19146 189 25 rainbow rainbow NOUN ajst-19146 189 26 trapping trap VERB ajst-19146 189 27 with with ADP ajst-19146 189 28 long long ADJ ajst-19146 189 29 oscillation oscillation NOUN ajst-19146 189 30 lifetimes lifetime NOUN ajst-19146 189 31 in in ADP ajst-19146 189 32 gradient gradient ADJ ajst-19146 189 33 magnetoinductive magnetoinductive PROPN ajst-19146 189 34 metasurfaces metasurface NOUN ajst-19146 189 35 . . PUNCT ajst-19146 190 1 physical physical ADJ ajst-19146 190 2 review review NOUN ajst-19146 190 3 applied apply VERB ajst-19146 190 4 2019 2019 NUM ajst-19146 190 5 , , PUNCT ajst-19146 190 6 12 12 NUM ajst-19146 190 7 , , PUNCT ajst-19146 190 8 024043 024043 NUM ajst-19146 190 9 , , PUNCT ajst-19146 190 10 doi:10.1103 doi:10.1103 X ajst-19146 190 11 / / SYM ajst-19146 190 12 physrevapplied.12.024043 physrevapplied.12.024043 NOUN ajst-19146 190 13 . . PUNCT ajst-19146 191 1 [ [ X ajst-19146 191 2 26 26 NUM ajst-19146 191 3 ] ] X ajst-19146 191 4 liu liu PROPN ajst-19146 191 5 , , PUNCT ajst-19146 191 6 t. t. PROPN ajst-19146 191 7 ; ; PUNCT ajst-19146 191 8 liang liang PROPN ajst-19146 191 9 , , PUNCT ajst-19146 191 10 s. s. PROPN ajst-19146 191 11 ; ; PUNCT ajst-19146 191 12 chen chen PROPN ajst-19146 191 13 , , PUNCT ajst-19146 191 14 f. f. PROPN ajst-19146 191 15 ; ; PUNCT ajst-19146 191 16 zhu zhu PROPN ajst-19146 191 17 , , PUNCT ajst-19146 191 18 j. j. PROPN ajst-19146 191 19 inherent inherent ADJ ajst-19146 191 20 losses loss NOUN ajst-19146 191 21 induced induce VERB ajst-19146 191 22 absorptive absorptive ADJ ajst-19146 191 23 acoustic acoustic ADJ ajst-19146 191 24 rainbow rainbow NOUN ajst-19146 191 25 trapping trap VERB ajst-19146 191 26 with with ADP ajst-19146 191 27 a a DET ajst-19146 191 28 gradient gradient ADJ ajst-19146 191 29 metasurface metasurface NOUN ajst-19146 191 30 . . PUNCT ajst-19146 192 1 journal journal PROPN ajst-19146 192 2 of of ADP ajst-19146 192 3 applied apply VERB ajst-19146 192 4 physics physics NOUN ajst-19146 192 5 2017 2017 NUM ajst-19146 192 6 , , PUNCT ajst-19146 192 7 123 123 NUM ajst-19146 192 8 , , PUNCT ajst-19146 192 9 091702 091702 NUM ajst-19146 192 10 , , PUNCT ajst-19146 192 11 doi:10.1063/1.4997631 doi:10.1063/1.4997631 NOUN ajst-19146 192 12 . . PUNCT ajst-19146 193 1 [ [ X ajst-19146 193 2 27 27 NUM ajst-19146 193 3 ] ] SYM ajst-19146 193 4 xu xu PROPN ajst-19146 193 5 , , PUNCT ajst-19146 193 6 j. j. PROPN ajst-19146 193 7 ; ; PUNCT ajst-19146 193 8 he he PRON ajst-19146 193 9 , , PUNCT ajst-19146 193 10 p. p. PROPN ajst-19146 193 11 ; ; PUNCT ajst-19146 194 1 feng feng PROPN ajst-19146 194 2 , , PUNCT ajst-19146 194 3 d. d. PROPN ajst-19146 194 4 ; ; PUNCT ajst-19146 194 5 yong yong PROPN ajst-19146 194 6 , , PUNCT ajst-19146 194 7 k. k. PROPN ajst-19146 194 8 ; ; PUNCT ajst-19146 194 9 hong hong PROPN ajst-19146 194 10 , , PUNCT ajst-19146 194 11 l. l. PROPN ajst-19146 194 12 ; ; PUNCT ajst-19146 194 13 shen shen PROPN ajst-19146 194 14 , , PUNCT ajst-19146 194 15 y. y. PROPN ajst-19146 194 16 ; ; PUNCT ajst-19146 194 17 zhou zhou PROPN ajst-19146 194 18 , , PUNCT ajst-19146 194 19 y. y. PROPN ajst-19146 194 20 slow slow ADJ ajst-19146 194 21 wave wave NOUN ajst-19146 194 22 and and CCONJ ajst-19146 194 23 truly truly ADV ajst-19146 194 24 rainbow rainbow VERB ajst-19146 194 25 trapping trap VERB ajst-19146 194 26 in in ADP ajst-19146 194 27 a a DET ajst-19146 194 28 one one NUM ajst-19146 194 29 - - PUNCT ajst-19146 194 30 way way NOUN ajst-19146 194 31 terahertz terahertz NOUN ajst-19146 194 32 waveguide waveguide NOUN ajst-19146 194 33 . . PUNCT ajst-19146 195 1 opt opt PROPN ajst-19146 195 2 . . PUNCT ajst-19146 196 1 express express VERB ajst-19146 196 2 2021 2021 NUM ajst-19146 196 3 , , PUNCT ajst-19146 196 4 29 29 NUM ajst-19146 196 5 , , PUNCT ajst-19146 196 6 11328 11328 NUM ajst-19146 196 7 - - SYM ajst-19146 196 8 11341 11341 NUM ajst-19146 196 9 , , PUNCT ajst-19146 196 10 doi:10.1364 doi:10.1364 NOUN ajst-19146 196 11 / / SYM ajst-19146 196 12 oe.422274 oe.422274 NOUN ajst-19146 196 13 . . PUNCT ajst-19146 197 1 [ [ X ajst-19146 197 2 28 28 NUM ajst-19146 197 3 ] ] X ajst-19146 197 4 liu liu PROPN ajst-19146 197 5 , , PUNCT ajst-19146 197 6 k. k. PROPN ajst-19146 197 7 ; ; PUNCT ajst-19146 197 8 he he PRON ajst-19146 197 9 , , PUNCT ajst-19146 197 10 s. s. PROPN ajst-19146 197 11 truly truly ADV ajst-19146 197 12 trapped trap VERB ajst-19146 197 13 rainbow rainbow NOUN ajst-19146 197 14 by by ADP ajst-19146 197 15 utilizing utilize VERB ajst-19146 197 16 nonreciprocal nonreciprocal ADJ ajst-19146 197 17 waveguides waveguide NOUN ajst-19146 197 18 . . PUNCT ajst-19146 198 1 scientific scientific ADJ ajst-19146 198 2 reports report NOUN ajst-19146 198 3 2016 2016 NUM ajst-19146 198 4 , , PUNCT ajst-19146 198 5 6 6 NUM ajst-19146 198 6 , , PUNCT ajst-19146 198 7 30206 30206 NUM ajst-19146 198 8 , , PUNCT ajst-19146 198 9 doi:10.1038 doi:10.1038 NOUN ajst-19146 198 10 / / SYM ajst-19146 198 11 srep30206 srep30206 PROPN ajst-19146 198 12 . . PUNCT ajst-19146 199 1 [ [ X ajst-19146 199 2 29 29 NUM ajst-19146 199 3 ] ] PUNCT ajst-19146 199 4 sharma sharma PROPN ajst-19146 199 5 , , PUNCT ajst-19146 199 6 s. s. PROPN ajst-19146 199 7 ; ; PUNCT ajst-19146 199 8 mondal mondal PROPN ajst-19146 199 9 , , PUNCT ajst-19146 199 10 a. a. PROPN ajst-19146 199 11 ; ; PUNCT ajst-19146 199 12 das das PROPN ajst-19146 199 13 , , PUNCT ajst-19146 199 14 r. r. PROPN ajst-19146 199 15 infrared infrared PROPN ajst-19146 199 16 rainbow rainbow PROPN ajst-19146 199 17 trapping trap VERB ajst-19146 199 18 via via ADP ajst-19146 199 19 optical optical ADJ ajst-19146 199 20 tamm tamm PROPN ajst-19146 199 21 modes mode NOUN ajst-19146 199 22 in in ADP ajst-19146 199 23 an an DET ajst-19146 199 24 one one NUM ajst-19146 199 25 - - PUNCT ajst-19146 199 26 dimensional dimensional ADJ ajst-19146 199 27 dielectric dielectric NOUN ajst-19146 199 28 chirped chirp VERB ajst-19146 199 29 photonic photonic ADJ ajst-19146 199 30 crystals crystal NOUN ajst-19146 199 31 . . PUNCT ajst-19146 199 32 opt opt PROPN ajst-19146 199 33 . . PUNCT ajst-19146 200 1 lett lett PROPN ajst-19146 200 2 . . PROPN ajst-19146 200 3 2021 2021 NUM ajst-19146 200 4 , , PUNCT ajst-19146 200 5 46 46 NUM ajst-19146 200 6 , , PUNCT ajst-19146 200 7 4566 4566 NUM ajst-19146 200 8 - - SYM ajst-19146 200 9 4569 4569 NUM ajst-19146 200 10 , , PUNCT ajst-19146 200 11 doi:10.1364 doi:10.1364 NOUN ajst-19146 200 12 / / SYM ajst-19146 200 13 ol.437958 ol.437958 PROPN ajst-19146 200 14 . . PUNCT ajst-19146 201 1 [ [ X ajst-19146 201 2 30 30 NUM ajst-19146 201 3 ] ] X ajst-19146 201 4 baba baba PROPN ajst-19146 201 5 , , PUNCT ajst-19146 201 6 t. t. PROPN ajst-19146 201 7 ; ; PUNCT ajst-19146 201 8 mori mori PROPN ajst-19146 201 9 , , PUNCT ajst-19146 201 10 d. d. PROPN ajst-19146 201 11 ; ; PUNCT ajst-19146 201 12 inoshita inoshita PROPN ajst-19146 201 13 , , PUNCT ajst-19146 201 14 k. k. PROPN ajst-19146 201 15 ; ; PUNCT ajst-19146 201 16 kuroki kuroki PROPN ajst-19146 201 17 , , PUNCT ajst-19146 201 18 y. y. PROPN ajst-19146 201 19 light light NOUN ajst-19146 201 20 localizations localization NOUN ajst-19146 201 21 in in ADP ajst-19146 201 22 photonic photonic ADJ ajst-19146 201 23 crystal crystal NOUN ajst-19146 201 24 line line NOUN ajst-19146 201 25 defect defect NOUN ajst-19146 201 26 waveguides waveguide NOUN ajst-19146 201 27 . . PUNCT ajst-19146 202 1 ieee ieee PROPN ajst-19146 202 2 journal journal PROPN ajst-19146 202 3 of of ADP ajst-19146 202 4 selected select VERB ajst-19146 202 5 topics topic NOUN ajst-19146 202 6 in in ADP ajst-19146 202 7 quantum quantum ADJ ajst-19146 202 8 electronics electronic NOUN ajst-19146 202 9 2004 2004 NUM ajst-19146 202 10 , , PUNCT ajst-19146 202 11 10 10 NUM ajst-19146 202 12 , , PUNCT ajst-19146 202 13 484 484 NUM ajst-19146 202 14 - - SYM ajst-19146 202 15 491 491 NUM ajst-19146 202 16 , , PUNCT ajst-19146 202 17 doi:10.1109 doi:10.1109 VERB ajst-19146 202 18 / / SYM ajst-19146 202 19 jstqe.2004.829201 jstqe.2004.829201 NOUN ajst-19146 202 20 . . PUNCT ajst-19146 203 1 [ [ X ajst-19146 203 2 31 31 NUM ajst-19146 203 3 ] ] SYM ajst-19146 203 4 wu wu PROPN ajst-19146 203 5 , , PUNCT ajst-19146 203 6 l.-h l.-h PROPN ajst-19146 203 7 . . PUNCT ajst-19146 203 8 ; ; PUNCT ajst-19146 203 9 hu hu PROPN ajst-19146 203 10 , , PUNCT ajst-19146 203 11 x. x. NOUN ajst-19146 203 12 scheme scheme NOUN ajst-19146 203 13 for for ADP ajst-19146 203 14 achieving achieve VERB ajst-19146 203 15 a a DET ajst-19146 203 16 topological topological ADJ ajst-19146 203 17 photonic photonic NOUN ajst-19146 203 18 crystal crystal NOUN ajst-19146 203 19 by by ADP ajst-19146 203 20 using use VERB ajst-19146 203 21 dielectric dielectric ADJ ajst-19146 203 22 material material NOUN ajst-19146 203 23 . . PUNCT ajst-19146 204 1 physical physical ADJ ajst-19146 204 2 review review NOUN ajst-19146 204 3 letters letter NOUN ajst-19146 204 4 2015 2015 NUM ajst-19146 204 5 , , PUNCT ajst-19146 204 6 114 114 NUM ajst-19146 204 7 , , PUNCT ajst-19146 204 8 223901 223901 NUM ajst-19146 204 9 , , PUNCT ajst-19146 204 10 doi:10.1103 doi:10.1103 X ajst-19146 204 11 / / SYM ajst-19146 204 12 physrevlett.114.223901 physrevlett.114.223901 NOUN ajst-19146 204 13 . . PUNCT ajst-19146 205 1 [ [ X ajst-19146 205 2 32 32 NUM ajst-19146 205 3 ] ] PUNCT ajst-19146 205 4 he he PRON ajst-19146 205 5 , , PUNCT ajst-19146 205 6 c. c. PROPN ajst-19146 205 7 ; ; PUNCT ajst-19146 205 8 ni ni PROPN ajst-19146 205 9 , , PUNCT ajst-19146 205 10 x. x. PROPN ajst-19146 205 11 ; ; PUNCT ajst-19146 205 12 ge ge PROPN ajst-19146 205 13 , , PUNCT ajst-19146 205 14 h. h. PROPN ajst-19146 205 15 ; ; PUNCT ajst-19146 205 16 sun sun NOUN ajst-19146 205 17 , , PUNCT ajst-19146 205 18 x.-c x.-c PROPN ajst-19146 205 19 . . PUNCT ajst-19146 205 20 ; ; PUNCT ajst-19146 205 21 chen chen PROPN ajst-19146 205 22 , , PUNCT ajst-19146 205 23 y.-b y.-b PROPN ajst-19146 205 24 . . PROPN ajst-19146 205 25 ; ; PUNCT ajst-19146 205 26 lu lu PROPN ajst-19146 205 27 , , PUNCT ajst-19146 205 28 m.-h m.-h PROPN ajst-19146 205 29 . . PUNCT ajst-19146 205 30 ; ; PUNCT ajst-19146 205 31 liu liu PROPN ajst-19146 205 32 , , PUNCT ajst-19146 205 33 x.-p x.-p PROPN ajst-19146 205 34 . . PUNCT ajst-19146 205 35 ; ; PUNCT ajst-19146 205 36 chen chen PROPN ajst-19146 205 37 , , PUNCT ajst-19146 205 38 y.-f y.-f PROPN ajst-19146 205 39 . . PUNCT ajst-19146 206 1 acoustic acoustic ADJ ajst-19146 206 2 topological topological ADJ ajst-19146 206 3 insulator insulator NOUN ajst-19146 206 4 and and CCONJ ajst-19146 206 5 robust robust ADJ ajst-19146 206 6 one one NUM ajst-19146 206 7 - - PUNCT ajst-19146 206 8 way way NOUN ajst-19146 206 9 sound sound ADJ ajst-19146 206 10 transport transport NOUN ajst-19146 206 11 . . PUNCT ajst-19146 207 1 nature nature PROPN ajst-19146 207 2 physics physics PROPN ajst-19146 207 3 2016 2016 NUM ajst-19146 207 4 , , PUNCT ajst-19146 207 5 12 12 NUM ajst-19146 207 6 , , PUNCT ajst-19146 207 7 1124 1124 NUM ajst-19146 207 8 - - SYM ajst-19146 207 9 1129 1129 NUM ajst-19146 207 10 , , PUNCT ajst-19146 207 11 doi:10.1038 doi:10.1038 NOUN ajst-19146 207 12 / / SYM ajst-19146 207 13 nphys3867 nphys3867 PROPN ajst-19146 207 14 . . PUNCT