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Ab, Applying a voltag:1137)/F 4/H/N/Rect[ 486.63 582.02 500.691 571.84]/Subtype/Link/Type/Annot>> endobj 654 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:1. Wang, C. et al. Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages. Nature 562, 101 104 \(2018\).\r:1138)/F 4/H/N/Rect[ 425.218 560.52 427.287 550.34]/Subtype/Link/Type/Annot>> endobj 655 0 obj <> endobj 656 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:Fig. 2 | Waveguide-based electro-optic devices on thin-film lithium niobate. Aa, Phase modulators. Embedding a thin-film lithium niobate \(TFLN\) waveguide between a pair of electrodes forms a basic phase modulator. Ab, Applying a volta:1139)/F 4/H/N/Rect[ 534.795 539.02 549.439 528.84]/Subtype/Link/Type/Annot>> endobj 659 0 obj <> endobj 660 0 obj [0] endobj 662 0 obj <> endobj 663 0 obj <> endobj 664 0 obj <> endobj 665 0 obj <> endobj 666 0 obj <> endobj 667 0 obj <> endobj 668 0 obj <> endobj 670 0 obj <> endobj 671 0 obj <> endobj 672 0 obj <> endobj 675 0 obj <> endobj 676 0 obj <> endobj 677 0 obj <> endobj 678 0 obj <> endobj 680 0 obj <> endobj 682 0 obj <> endobj 683 0 obj <> endobj 684 0 obj <> endobj 685 0 obj <> endobj 686 0 obj <> endobj 687 0 obj <> endobj 690 0 obj <> endobj 691 0 obj <> endobj 692 0 obj <> endobj 693 0 obj <> endobj 694 0 obj <> endobj 695 0 obj <> endobj 696 0 obj <> endobj 698 0 obj <> endobj 699 0 obj <> endobj 700 0 obj <> endobj 701 0 obj <> endobj 702 0 obj <> endobj 703 0 obj <> endobj 705 0 obj <> endobj 706 0 obj <> endobj 707 0 obj <> endobj 708 0 obj <> endobj 709 0 obj <> endobj 713 0 obj <> endobj 714 0 obj <> endobj 716 0 obj <> endobj 718 0 obj <> endobj 721 0 obj <> endobj 722 0 obj <> endobj 724 0 obj <> endobj 725 0 obj <> endobj 727 0 obj <> endobj 730 0 obj <> endobj 731 0 obj <> endobj 732 0 obj <> endobj 737 0 obj <> endobj 738 0 obj <> endobj 740 0 obj <> endobj 741 0 obj <> endobj 746 0 obj <> endobj 747 0 obj <> endobj 748 0 obj <> endobj 751 0 obj <> endobj 754 0 obj <> endobj 755 0 obj <> endobj 756 0 obj <> endobj 758 0 obj <> endobj 759 0 obj <> endobj 761 0 obj <> endobj 762 0 obj <> endobj 764 0 obj <> endobj 767 0 obj <> endobj 770 0 obj <> endobj 772 0 obj <> endobj 773 0 obj <> endobj 775 0 obj <> endobj 778 0 obj <> endobj 779 0 obj <> endobj 780 0 obj <> endobj 781 0 obj <> endobj 782 0 obj <> endobj 785 0 obj <> endobj 786 0 obj <> endobj 787 0 obj <> endobj 788 0 obj <> endobj 789 0 obj <> endobj 793 0 obj <> endobj 794 0 obj <> endobj 796 0 obj <> endobj 797 0 obj <> endobj 798 0 obj <> endobj 799 0 obj <> endobj 800 0 obj <> endobj 801 0 obj <> endobj 802 0 obj <> endobj 804 0 obj <> endobj 805 0 obj <> endobj 807 0 obj <> endobj 810 0 obj <> endobj 811 0 obj <> endobj 812 0 obj <>stream H:v|(#T endstream endobj 813 0 obj <> endobj 814 0 obj <> endobj 815 0 obj <> endobj 816 0 obj <> endobj 818 0 obj <> endobj 820 0 obj <> endobj 822 0 obj <> endobj 824 0 obj <> endobj 831 0 obj <>/PageTransformationMatrixList<>/PageUIDList<>/PageWidthList<>>>>>/Resources 1601 0 R /Rotate 0/Thumb 1154 0 R /Type/Page>> endobj 832 0 obj [ 833 0 R 834 0 R 835 0 R 836 0 R 837 0 R 838 0 R 839 0 R 840 0 R 841 0 R 842 0 R 844 0 R 846 0 R 848 0 R 850 0 R 852 0 R 854 0 R 856 0 R 858 0 R 860 0 R 862 0 R 864 0 R 866 0 R 868 0 R 870 0 R 872 0 R 874 0 R 876 0 R 878 0 R 879 0 R 881 0 R 882 0 R 884 0 R 886 0 R 888 0 R 890 0 R 892 0 R 894 0 R 896 0 R 898 0 R 900 0 R 902 0 R 904 0 R 906 0 R 908 0 R 910 0 R 912 0 R 914 0 R 916 0 R 918 0 R 920 0 R 922 0 R 924 0 R 926 0 R 928 0 R 930 0 R 932 0 R 934 0 R 936 0 R 938 0 R 940 0 R 942 0 R 944 0 R 946 0 R 948 0 R] endobj 833 0 obj <>/BS<>/Border[ 0 0 0]/F 4/H/N/Rect[ 39.685 30.3174 127.089 19.3174]/Subtype/Link/Type/Annot>> endobj 834 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:59. 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R ߁-25 S>ӣVd`rn~Y&+`;A4 A9=-tl`;~p Gp| [`L`< "A YA+Cb(R,*T2B- ꇆnQt}MA0alSx k&^>0|>_',G!"F$H:R!zFQd?r 9\A&G rQ hE]a4zBgE#H *B=0HIpp0MxJ$D1D, VĭKĻYdE"EI2EBGt4MzNr!YK ?%_&#(0J:EAiQ(()ӔWT6U@P+!~mD eԴ!hӦh/']B/ҏӿ?a0nhF!X8܌kc&5S6lIa2cKMA!E#ƒdV(kel }}Cq9 N')].uJr  wG xR^[oƜchg`>b$*~ :Eb~,m,-ݖ,Y¬*6X[ݱF=3뭷Y~dó ti zf6~`{v.Ng#{}}jc1X6fm;'_9 r:8q:˜O:ϸ8uJqnv=MmR 4 n3ܣkGݯz=[==<=GTB(/S,]6*-W:#7*e^YDY}UjAyT`#D="b{ų+ʯ:!kJ4Gmt}uC%K7YVfFY .=b?SƕƩȺy چ k5%4m7lqlioZlG+Zz͹mzy]?uuw|"űNwW&e֥ﺱ*|j5kyݭǯg^ykEklD_p߶7Dmo꿻1ml{Mś nLl<9O[$h՛BdҞ@iءG&vVǥ8nRĩ7u\ЭD-u`ֲK³8%yhYѹJº;.! zpg_XQKFAǿ=ȼ:ɹ8ʷ6˶5̵5͵6ζ7ϸ9к<Ѿ?DINU\dlvۀ܊ݖޢ)߯6DScs 2F[p(@Xr4Pm8Ww)Km endstream endobj 1000 0 obj <> endobj 1002 0 obj <>stream H@ /GJ1E1{<}uyǾ۶iR."y&!80}u]۶Mu91VeQygY)4IB8(0 }B:!ضmYia ȅ endstream endobj 1006 0 obj <> endobj 1011 0 obj <> endobj 1017 0 obj <> endobj 1021 0 obj <> endobj 1031 0 obj <> endobj 1051 0 obj <> endobj 1055 0 obj <> endobj 1059 0 obj <> endobj 1063 0 obj <> endobj 1071 0 obj <>stream HI0QEbdGFBH"= !2B@N)2CY"+dlBFJu^'q\Ux ƘL.Ğ+:1K7PU# endstream endobj 1075 0 obj <> endobj 1077 0 obj <> endobj 1078 0 obj <>/PageTransformationMatrixList<>/PageUIDList<>/PageWidthList<>>>>>/Resources 1603 0 R /Rotate 0/Thumb 1155 0 R /Type/Page>> endobj 1079 0 obj <> endobj 1080 0 obj [ 1082 0 R 1084 0 R 1086 0 R 1088 0 R 1090 0 R 1092 0 R 1094 0 R 1096 0 R 1098 0 R 1100 0 R 1102 0 R 1104 0 R 1106 0 R 1108 0 R 1110 0 R 1112 0 R 1114 0 R 1116 0 R 1118 0 R 1120 0 R 1122 0 R 1124 0 R 1126 0 R 1128 0 R 1130 0 R 1132 0 R 1133 0 R 1135 0 R 1137 0 R 1139 0 R 1141 0 R 1143 0 R] endobj 1081 0 obj <> endobj 1082 0 obj <>/BS<>/Border[ 0 0 0]/F 4/H/N/Rect[ 39.685 30.3174 127.089 19.3174]/Subtype/Link/Type/Annot>> endobj 1083 0 obj <> endobj 1084 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:128. 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Th:1251)/F 4/H/N/Rect[ 511.698 302.52 515.209 292.34]/Subtype/Link/Type/Annot>> endobj 1133 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:136. Wang, K., Dutt, A., Wojcik, C. C. & Fan, S. Topological complex-energy braiding of non-Hermitian bands. Nature 598, 59 64 \(2021\).\r:1252)/F 4/H/N/Rect[ 488.799 259.52 496.38 249.34]/Subtype/Link/Type/Annot>> endobj 1134 0 obj <>stream HM y:IL!@ں0>R-73!)GcZ ~ceUZ+qۦN~˷pX=sRR@ GU2 *ق~wuytTmڙk6Ңd66o؂!ybvxo1=mUM h?b96\{>_Um)n"Rs֔V4 d3 3(%f2>5(djvbi1eug*O8T7Op$lKLfXIu=S/bveGӘZK}!O&[˘v(8I2ZJ%C}ڡM`QZ"3+cZ4 8͓K_7c -b:Rp4;i92FA7iU:Zj6_*4u$t)Km n=\=?4}?cMnTg89 endstream endobj 1135 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:18. Hu, Y. et al. Realization of high-dimensional frequency crystals in electro-optic microcombs. 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Appl. 12, 158 \(2023\).\r:1255)/F 4/H/N/Rect[ 406.18 130.52 413.753 120.34]/Subtype/Link/Type/Annot>> endobj 1140 0 obj <>stream HWAr UOU+ɮCWw9)`@ ;ؓ21Z_]Aԯ>iJS/mk<4V(a<.N HxN[B@~FdziS$r▖irdv̬B>x{=!N{ |[DdoГ۟V_)f_BڝHbz|W艬"f=i>S;a=86OUY7Qmzz}+dgC,}6} M2/sƑ6f8ZoU80ͽb$9M˜#U8MɺQ$U- Ԫ{2jZ3_{K'VuC)9n|Q;d\/lk]a5EȠ%o{(b)6`'rwJHsvL7:vd%x?i跳 endstream endobj 1141 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:149. Yu, D. et al. Simulating graphene dynamics in synthetic space with photonic rings. Commun. Phys. 4, 219 \(2021\).\r:1256)/F 4/H/N/Rect[ 415.08 130.52 422.261 120.34]/Subtype/Link/Type/Annot>> endobj 1142 0 obj <>stream H] })?anS/1vVH~3L&(D6o|j=O B Qy\1F̢e B9Z*IJiBt|{0;Q`bI#&k7 a1H= *LU% qW Hvjz.01Px*~!O:i^Pa*)݅_f5Sow۴i봋CO`4WÕt޸RQJ&ލ*U:ALN #tMzq"K#owK-Fjc4~`%v endstream endobj 1143 0 obj <>/BS<>/Border[ 0 0 0]/Dest(springernature_natrevphys_825.indd:17. Hu, Y. et al. Mirror-induced reflection in the frequency domain. Nat. 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Z#a:`r3RsQ2cwKW2 j ;ȋ^btrA $&ZD?~Nb .P}zB. r&¼em4uj@XA_H%`Hmc-ݎ qM7RΓD+gv\LX"˲ wލtU I 3CI8wLQ,74HLHTK5ڔ(16S@.^fMRW<'*5GǞH3e endstream endobj 1152 0 obj <>stream HV[n1 үVNیylP n6Mfl(:?{*- /)4M N!^ >y2(m+ԍ[.PfRӰH#6XtIG/7[qo(4\lyKؿJuӓ=iB)b@Ϭ:hG<}\S5!>stream Hm Eѷw5i-o1Tilc$a!{m5Fs4ohVzU"M'e/}%7B1DZ| Q 'p}>s&+"/|S4] e}cވZ endstream endobj 1154 0 obj <>stream H ySM j5Y:Ǻ c~)}˔{ IurŊs 㷥I*šp;Ӧ+~N81N4)[.i5r9IpGKt%hI:=5 =S jZK:yQrR=+rvtE@|]>stream Hk sߊh( dS qv[F a6RTPt ԪK*T97"I7A995ǏKҝ8'U]*uAyp\cz%KwcppJȜƙJ*|qja]OᔌsL/_:KbiNT  b%&_B=oݵ7VNj¡x"Q1{NURvjVN-.j[`1Xw fӌ:wLJ:e J,1L8 rcN5 endstream endobj 1156 0 obj <>stream HW;0$UNJ0`,\A'H-6.vr 5FN~$d6`Dg8FK CA 7x۠>]  o TNyu 35*e?qMl^#~ itx>}/աѨV5kjXb q]jI\A&N@E NOFN nm-U$;=F= vjrX}S%㘝p ӯ |I_2 V'm"ʻ+wc-?-$W¢1xR5 D'J1un!h`ͳޭ)` Nr Kqf0-6-| NsMug 8 /8Abv}G쪊2DcD`삙">LjSȜ,;@&}0: Lx>};i ;y@IK87dPd*te{mtǂgS0lP| Eh}EVtȵ|L/~F-]` sـqFr,9PlRmƩ%,DwwN<.ķ5'bK7t(N#$9j]5]78kC:.݃:g5kFGrrHebnFȐ$u9\ ;w\*V儔rq'^2gr})䔹Vm;~gr_5z"y`cI;Ǵ2޹p(!UkEYഖ{_ Յ^U|E5U"(= zSp XO֟8 ),WVJS+jWn`qB3w,PQ~SU9Yς2DV){B2$s4N).AMIi9Fr#}lyA SU8Y6}lr(v)${|e(IKCy&א@d d?K`*oBZi&/e.-uެ endstream endobj 1157 0 obj <>stream HVA0 ' -M65c&٦7]FoZd"E37A[즅±+T'_[Hk[Ij{vZDb=:Sa Z$uwTl86;>ݦ0݌WҴg)\ڀnJˇI$,zĔaNW/*;-.5z$ Sq@OߩIzZ"4iv׻˿%zB;k_OdM5X%S,YUNO7'O$V/|4]T&sg48K'z;b>![EJϧgN\)MQd=)8'=3T>stream HW=v0 'VN\znR[܁y_n) 7^?(K9N(R$@ȘOY*#BA8VpuP D[ @G"=SXT䌛ЛF%23WfiPIR8auvgյGYjdkI֖A>ʒSoA}ˎ Zi\ۮL7@.#>v(>hx8ٺj~uGcr7W{,|4~(d+Ep3i/_.m%7wЪdp VU"GeRH.{CYfìEcلL7BB &z#' Ñƃ@'dAz>stream application/pdf doi:10.1038/s42254-025-00825-5 Springer US Nature Reviews Physics, doi:10.1038/s42254-025-00825-5 Integrated electro-optics on thin-film lithium niobate Yaowen Hu Di Zhu Shengyuan Lu Xinrui Zhu Yunxiang Song Dylan Renaud Daniel Assumpcao Rebecca Cheng C. J. Xin Matthew Yeh Hana Warner Xiangwen Guo Amirhassan Shams-Ansari David Barton Neil Sinclair Marko Loncar 10.1038/s42254-025-00825-5 http://dx.doi.org/10.1038/s42254-025-00825-5 journal Nature Reviews Physics © 2025, Springer Nature Limited 2522-5820 10.1038/s42254-025-00825-5 springer.com springerlink.com 2010-04-23 True 10.1038/s42254-025-00825-5 springer.com springerlink.com Springer 2025-05-21T08:45:29+08:00 2025-04-24T22:39:35+05:30 2025-05-21T08:45:29+08:00 True uuid:31c34d1d-ea9a-4715-a528-0d0412e8f4a2 uuid:f9e13c32-371b-45b5-a6d9-5fd5603fa3ac default 1 converted uuid:6c84389e-6bea-459b-93f3-c178be5967c2 converted to PDF/A-2b pdfToolbox 2025-04-24T22:40:46+05:30 2 B http://ns.adobe.com/pdf/1.3/ pdf Adobe PDF Schema internal A name object indicating whether the document has been modified to include trapping information Trapped Text http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI internal The common identifier for all versions and renditions of a document. 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