Research progress of analogical gravitation on optical metamaterial chips

Sheng Chong; Liu Hui; Zhu Shi-Ning

doi:10.7498/aps.69.20200183

Abstract

Optical metamaterial is a kind of artificially designed microstructured material. Its occurrence breaks the localization of traditional material design thinking and provides a new paradigm for artificially controlling electromagnetic waves on a micro-nano scale, especially realizes optical properties beyond conventional materials in nature. Furthermore, metamaterial has the ability to couple electromagnetic waves into the sub-wavelength regime, meeting the high-speed development of modern science and technology, which puts forward new requirements for high performance, miniaturization and integration of optical components. Therefore, optical chips based on metamaterials bring many encouraging applications such as in perfect imaging that breaks through the diffraction limit, multifunctional integrated optics, etc. In addition, metamaterial photonic chips can also simulate some phenomena in general relativity, especially exploring some phenomena that have not been experimentally proven. This review paper briefly introduces the study of analogical gravitation based on different kinds of photonic chips on the basis of metamaterials. In the end, there present the summary and outlook about the current development, advantages and challenges of this field.

Keywords:

Authors and contacts

Collaborative Innovation Center of Advanced Microstructures, State Key Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China

Corresponding author: Liu Hui, liuhui@nju.edu.cn

FullText HTML : translate this paragraph

References

[1]	Veselago V G 1968 Soviet Phys. Uspekhi-Ussr 10 509 Google Scholar
[2]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075 Google Scholar
[3]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77 Google Scholar
[4]	Pendry J B 2000 Phys. Rev. Lett. 85 3966 Google Scholar
[5]	Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534 Google Scholar
[6]	Liu Z, Lee H, Xiong Y, Sun C, Zhang X 2007 Science 315 1686 Google Scholar
[7]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780 Google Scholar
[8]	Leonhardt U 2006 Science 312 1777 Google Scholar
[9]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977 Google Scholar
[10]	Li J, Pendry J B 2008 Phys. Rev. Lett. 101 203901 Google Scholar
[11]	Liu R, Ji C, Mock J J, Chin J Y, Cui T J, Smith D R 2009 Science 323 366 Google Scholar
[12]	Ma H F, Cui T J 2010 Nat. Commun. 1 21 Google Scholar
[13]	Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 8 568 Google Scholar
[14]	Gabrielli L H, Cardenas J, Poitras C B, Lipson M 2009 Nat. Photonics 3 461 Google Scholar
[15]	Lee J H, Blair J, Tamma V A, Wu Q, Rhee S J, Summers C J, Park W 2009 Opt. Express 17 12922 Google Scholar
[16]	Zhang B, Luo Y, Liu X, Barbastathis G 2011 Phys. Rev. Lett. 106 033901 Google Scholar
[17]	Chen X, Luo Y, Zhang J, Jiang K, Pendry J B, Zhang S 2011 Nat. Commun. 2 176 Google Scholar
[18]	Chen H S, Zheng B, Shen L, Wang H, Zhang X, Zheludev N I, Zhang B 2013 Nat. Commun. 4 2652 Google Scholar
[19]	Zhang S, Genov D A, Sun C, Zhang X 2008 Phys. Rev. Lett. 100 123002 Google Scholar
[20]	Farhat M, Guenneau S, Enoch S 2009 Phys. Rev. Lett. 103 024301 Google Scholar
[21]	Zhang S, Xia C, Fang N 2011 Phys. Rev. Lett. 106 024301 Google Scholar
[22]	Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901 Google Scholar
[23]	Cummer S A, Schurig D 2007 New J. Phys. 9 45 Google Scholar
[24]	Chen H, Chan C T 2007 Appl. Phys. Lett. 91 183518 Google Scholar
[25]	Leonhardt U 2013 Nature 498 440 Google Scholar
[26]	Xu H, Shi X, Gao F, Sun H, Zhang B 2014 Phys. Rev. Lett. 112 054301 Google Scholar
[27]	Liu Y, Jiang W, He S, Ma Y 2014 Opt. Express 22 17006 Google Scholar
[28]	Ma Y G, Ong C K, Tyc T, Leonhardt U 2009 Nat. Mater. 8 639 Google Scholar
[29]	Chen H Y, Chan C T 2007 Appl. Phys. Lett. 90 241105 Google Scholar
[30]	Lai Y, Ng J, Chen H Y, Han D, Xiao J, Zhang Z Q, Chan C T 2009 Phys. Rev. Lett. 102 253902 Google Scholar
[31]	Liu F, Liang Z, Li J 2013 Phys. Rev. Lett. 111 033901 Google Scholar
[32]	Liu F, Li J 2015 Phys. Rev. Lett. 114 103902 Google Scholar
[33]	Chen H Y, Chan C T, Sheng P 2010 Nat. Mater. 9 387 Google Scholar
[34]	Rahm M, Roberts D A, Pendry J B, Smith D R 2008 Opt. Express 16 11555 Google Scholar
[35]	Roberts D A, Rahm M, Pendry J B, Smith D R 2008 Appl. Phys. Lett. 93 251111 Google Scholar
[36]	Huidobro P A, Nesterov M L, Martin-Moreno L, Garcia-Vidal F J 2010 Nano Lett. 10 1985 Google Scholar
[37]	Liu Y, Zentgraf T, Bartal G, Zhang X 2010 Nano Lett. 10 1991 Google Scholar
[38]	Zentgraf T, Liu Y, Mikkelsen M H, Valentine J, Zhang X 2011 Nat. Nanotechnol. 6 151 Google Scholar
[39]	Zentgraf T, Valentine J, Tapia N, Li J, Zhang X 2010 Adv. Mater. 22 2561 Google Scholar
[40]	Hawking S W 1974 Nature 248 30 Google Scholar
[41]	Unruh W G 1981 Phys. Rev. Lett. 46 1351 Google Scholar
[42]	Nation P D, Blencowe M P, Rimberg A J, Buks E 2009 Phys. Rev. Lett. 103 087004 Google Scholar
[43]	Giovanazzi S 2005 Phys. Rev. Lett. 94 061302 Google Scholar
[44]	Jacobson T A, Volovik G E 1998 Phys. Rev. D 58 064021 Google Scholar
[45]	Garay L J, Anglin J R, Cirac J I, Zoller P 2000 Phys. Rev. Lett. 85 4643 Google Scholar
[46]	de Nova J R M, Golubkov K, Kolobov V I, Steinhauer J 2019 Nature 569 688 Google Scholar
[47]	Hu J, Feng L, Zhang Z, Chin C 2019 Nat. Phys. 15 785 Google Scholar
[48]	Horstmann B, Reznik B, Fagnocchi S, Cirac J I 2010 Phys. Rev. Lett. 104 250403 Google Scholar
[49]	Philbin T G, Kuklewicz C, Robertson S, Hill S, Konig F, Leonhardt U 2008 Science 319 1367 Google Scholar
[50]	Drori J, Rosenberg Y, Bermudez D, Silberberg Y, Leonhardt U 2019 Phys. Rev. Lett. 122 010404 Google Scholar
[51]	Belgiorno F, Cacciatori S L, Clerici M, Gorini V, Ortenzi G, Rizzi L, Rubino E, Sala V G, Faccio D 2010 Phys. Rev. Lett. 105 203901 Google Scholar
[52]	Yu H, Hu J 2015 Chin. Sci. Bull. 60 2697 Google Scholar
[53]	Bekenstein R, Schley R, Mutzafi M, Rotschild C, Segev M 2015 Nat. Phys. 11 872 Google Scholar
[54]	Roger T, Maitland C, Wilson K, Westerberg N, Vocke D, Wright E M, Faccio D 2016 Nat. Commun. 7 13492 Google Scholar
[55]	Smolyaninov I I, Narimanov E E 2010 Phys. Rev. Lett. 105 067402 Google Scholar
[56]	Smolyaninov I I, Hwang E, Narimanov E 2012 Phys. Rev. B 85 235122 Google Scholar
[57]	Smolyaninov I I, Hung Y J 2011 J. Opt. Soc. Am. B: Opt. Phys. 28 1591 Google Scholar
[58]	Smolyaninov I I, Hung Y J, Hwang E 2012 Phys. Lett. A 376 2575 Google Scholar
[59]	Greenleaf A, Kurylev Y, Lassas M, Uhlmann G 2007 Phys. Rev. Lett. 99 183901 Google Scholar
[60]	Narimanov E E, Kildishev A V 2009 Appl. Phys. Lett. 95 041106 Google Scholar
[61]	Cheng Q, Cui T J, Jiang W X, Cai B G 2010 New J. Phys. 12 063006 Google Scholar
[62]	Genov D A, Zhang S, Zhang X 2009 Nat. Phys. 5 687 Google Scholar
[63]	Chen H Y, Miao R X, Li M 2010 Opt. Express 18 15183 Google Scholar
[64]	Li M, Miao R X, Pang Y 2010 Opt. Express 18 9026 Google Scholar
[65]	Li M, Miao R X, Pang Y 2010 Phys. Lett. B 689 55 Google Scholar
[66]	Mackay T G, Lakhtakia A 2014 IEEE Trans. Antennas Propag. 62 6149 Google Scholar
[67]	Ginis V, Tassin P, Craps B, Veretennicoff I 2010 Opt. Express 18 5350 Google Scholar
[68]	Hu J, Yu H 2018 Phys. Lett. B 777 346 Google Scholar
[69]	Smolyaninov I I, Smolyaninova V N, Kildishev A V, Shalaev V M 2009 Phys. Rev. Lett. 102 213901 Google Scholar
[70]	Stockman M I 2004 Phys. Rev. Lett. 93 137404 Google Scholar
[71]	Choi H, Pile D F P, Nam S, Bartal G, Zhang X 2009 Opt. Express 17 7519 Google Scholar
[72]	Choo H, Kim M K, Staffaroni M, Seok T J, Bokor J, Cabrini S, Schuck P J, Wu M C, Yablonovitch E 2012 Nat. Photonics 6 838
[73]	Cang H, Salandrino A, Wang Y, Zhang X 2015 Nat. Commun. 6 7942 Google Scholar
[74]	Pendry J B, Aubry A, Smith D R, Maier S A 2012 Science 337 549 Google Scholar
[75]	Aubry A, Lei D Y, Fernandez-Dominguez A I, Sonnefraud Y, Maier S A, Pendry J B 2010 Nano Lett. 10 2574 Google Scholar
[76]	Fernandez-Dominguez A I, Maier S A, Pendry J B 2010 Phys. Rev. Lett. 105 266807 Google Scholar
[77]	Pendry J B, Fernandez-Dominguez A I, Luo Y, Zhao R 2013 Nat. Phys. 9 518 Google Scholar
[78]	Pendry J B, Huidobro P A, Luo Y, Galiffi E 2017 Science 358 915 Google Scholar
[79]	Sheng C, Liu H, Zhu S, Genov D A 2016 Sci. Rep. 6 23514 Google Scholar
[80]	Sheng C, Liu H, Wang Y, Zhu S N, Genov D A 2013 Nat. Photonics 7 902 Google Scholar
[81]	Sheng C, Bekenstein R, Liu H, Zhu S, Segev M 2016 Nat. Commun. 7 10747 Google Scholar
[82]	Wang X, Liu H, Sheng C, Zhu S 2018 J. Opt. 20 024015 Google Scholar
[83]	Wang X, Chen H, Liu H, Xu L, Sheng C, Zhu S 2017 Phys. Rev. Lett. 119 033902 Google Scholar
[84]	Wang Y, Sheng C, Liu H, Zheng Y J, Zhu C, Wang S M, Zhu S N 2012 Opt. Express 20 13006 Google Scholar
[85]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[86]	Kildishev A V, Boltasseva A, Shalaev V M 2013 Science 339 1232009 Google Scholar
[87]	Yu N, Capasso F 2014 Nat. Mater. 13 139 Google Scholar
[88]	Wang S, Wu P C, Su V C, Lai Y C, Chu C H, Chen J W, Lu S H, Chen J, Xu B, Kuan C H, Li T, Zhu S, Tsai D P 2017 Nat. Commun. 8 187 Google Scholar
[89]	Jiang S C, Xiong X, Hu Y S, Hu Y H, Ma G B, Peng R W, Sun C, Wang M 2014 Phys. Rev. X 4 021026
[90]	Zheng G, Muehlenbernd H, Kenney M, Li G, Zentgraf T, Zhang S 2015 Nat. Nanotechnol. 10 308 Google Scholar
[91]	Li L, Cui T J, Ji W, Liu S, Ding J, Wan X, Li Y B, Jiang M, Qiu C W, Zhang S 2017 Nat. Commun. 8 197 Google Scholar
[92]	Ni X, Wong Z J, Mrejen M, Wang Y, Zhang X 2015 Science 349 1310 Google Scholar
[93]	Sun S, He Q, Xiao S, Xu Q, Li X, Zhou L 2012 Nat. Mater. 11 426 Google Scholar
[94]	Liu Y, Zhang X 2013 Appl. Phys. Lett. 103 141101 Google Scholar
[95]	High A A, Devlin R C, Dibos A, Polking M, Wild D S, Perczel J, de Leon N P, Lukin M D, Park H 2015 Nature 522 192 Google Scholar
[96]	Gomez-Diaz J S, Tymchenko M, Alu A 2015 Phys. Rev. Lett. 114 233901 Google Scholar
[97]	Xu Y, Gu C, Hou B, Lai Y, Li J, Chen H 2013 Nat. Commun. 4 2561 Google Scholar
[98]	Li Z, Kim M H, Wang C, Han Z, Shrestha S, Overvig A C, Lu M, Stein A, Agarwal A M, Loncar M, Yu N 2017 Nat. Nanotechnol. 12 675 Google Scholar
[99]	Sheng C, Liu H, Zhu S 2019 Sci. Bull. 64 793 Google Scholar
[100]	Sheng C, Liu H, Chen H, Zhu S 2018 Nat. Commun. 9 4271 Google Scholar
[101]	Zhong F, Li J, Liu H, Zhu S 2018 Phys. Rev. Lett. 120 243901 Google Scholar
[102]	Dacosta R C T 1981 Phys. Rev. A 23 1982 Google Scholar
[103]	Batz S, Peschel U 2008 Phys. Rev. A 78 043821 Google Scholar
[104]	Batz S, Peschel U 2010 Phys. Rev. A 81 053806 Google Scholar
[105]	Schultheiss V H, Batz S, Szameit A, Dreisow F, Nolte S, Tuennermann A, Longhi S, Peschel U 2010 Phys. Rev. Lett. 105 143901 Google Scholar
[106]	Schultheiss V H, Batz S, Peschel U 2016 Nat. Photonics 10 106 Google Scholar
[107]	Bekenstein R, Nemirovsky J, Kaminer I, Segev M 2014 Phys. Rev. X 4 011038
[108]	Patsyk A, Bandres M A, Bekenstein R, Segev M 2018 Phys. Rev. X 8 011001
[109]	Xu L, Wang X, Tyc T, Sheng C, Zhu S, Liu H, Chen H 2019 Photonics Res. 7 1266 Google Scholar
[110]	Xu L, He R, Yao K, Chen J M, Sheng C, Chen Y, Cai G, Zhu S, Liu H, Chen H 2019 Phys. Rev. Appl. 11 034072 Google Scholar
[111]	Bekenstein R, Kabessa Y, Sharabi Y, Tal O, Engheta N, Eisenstein G, Agranat A J, Segev M 2017 Nat. Photonics 11 664 Google Scholar
[112]	Xu C, Wang L G 2019 New J. Phys. 21 113013 Google Scholar
[113]	Zhu J, Liu Y, Liang Z, Chen T, Li J 2018 Phys. Rev. Lett. 121 234301 Google Scholar
[114]	Libster-Hershko A, Shiloh R, Arie A 2019 Optica 6 115 Google Scholar
[115]	Szameit A, Nolte S 2010 J. Phys. B: At. Mol. Opt. Phys. 43 163001 Google Scholar
[116]	Morandotti R, Peschel U, Aitchison J S, Eisenberg H S, Silberberg K 1999 Phys. Rev. Lett. 83 4756 Google Scholar
[117]	Pertsch T, Dannberg P, Elflein W, Brauer A, Lederer F 1999 Phys. Rev. Lett. 83 4752 Google Scholar
[118]	Chiodo N, Della V G, Osellame R, Longhi S, Cerullo G, Ramponi R, Laporta P 2006 Opt. Lett. 31 1651 Google Scholar
[119]	Block A, Etrich C, Limboeck T, Bleckmann F, Soergel E, Rockstuhl C, Linden S 2014 Nat. Commun. 5 3843 Google Scholar
[120]	Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S, Tuennermann A, Longhi S 2009 Phys. Rev. Lett. 102 076802 Google Scholar
[121]	Trompeter H, Pertsch T, Lederer F, Michaelis D, Streppel U, Brauer A, Peschel U 2006 Phys. Rev. Lett. 96 023901 Google Scholar
[122]	Lahini Y, Avidan A, Pozzi F, Sorel M, Morandotti R, Christodoulides D N, Silberberg Y 2008 Phys. Rev. Lett. 100 013906 Google Scholar
[123]	Martin L, di Giuseppe G, Perez-Leija A, Keil R, Dreisow F, Heinrich M, Nolte S, Szameit A, Abouraddy A F, Christodoulides D N, Saleh B E A 2011 Opt. Express 19 13636 Google Scholar
[124]	Bromberg Y, Lahini Y, Morandotti R, Silberberg Y 2009 Phys. Rev. Lett. 102 253904 Google Scholar
[125]	Tang H, Lin X F, Feng Z, Chen J Y, Gao J, Sun K, Wang C Y, Lai P C, Xu X Y, Wang Y, Qiao L F, Yang A L, Jin X M 2018 Sci. Adv. 4 eaat3174 Google Scholar
[126]	Dreisow F, Heinrich M, Keil R, Tuennermann A, Nolte S, Longhi S, Szameit A 2010 Phys. Rev. Lett. 105 143902 Google Scholar
[127]	Dreisow F, Longhi S, Nolte S, Tuennermann A, Szameit A 2012 Phys. Rev. Lett. 109 110401 Google Scholar
[128]	Zeuner J M, Efremidis N K, Keil R, Dreisow F, Christodoulides D N, Tuennermann A, Nolte S, Szameit A 2012 Phys. Rev. Lett. 109 023602 Google Scholar
[129]	Keil R, Noh C, Rai A, Stuetzer S, Nolte S, Angelakis D G, Szameit A 2015 Optica 2 454 Google Scholar
[130]	Marini A, Longhi S, Biancalana F 2014 Phys. Rev. Lett. 113 150401 Google Scholar
[131]	Koke C, Noh C, Angelakis D G 2016 Ann. Phys. 374 162 Google Scholar
[132]	Lustig E, Cohen M I, Bekenstein R, Harari G, Bandres M A, Segev M 2017 Phys. Rev. A 96 041804 Google Scholar
[133]	Wang Y, Sheng C, Lu Y, Gao J, Chang Y, Pang X, Yang T, Zhu S, Liu H, Jin X 2020 Natl. Sci. Rev. DOI: 10.1093/nsr/nwaa111

Cited By

图 1 (a) 绝热变化的波导实现的隐身斗篷; (b) 绝热变化的透镜实现打破衍射极限的远场成像; (c) 金属微球夹在金属/介质/金属的三明治结构之间实现黑洞的模拟; (d) 具有奇异点的金属结构对表面等离激元的纳米聚焦; (e) 具有一些奇异点表面等离激元结构模拟紧致空间

Figure 1. (a) Tapered waveguide acting as an optical cloak; (b) far-field imaging with breaking diffraction limitation using plasmonic lens with adiabatic change structure; nanofocusing using tapered plasmonic waveguides; (c) the emulation of black hole using a silver microsphere sandwiched by a metal-insulator-metal structure; (d) nanofocusing using metallic nanoparticle with structure singularity; (e) a transformation compacts three dimensions into two dimensions.

DownLoad: Full-Size Img PowerPoint

图 2 (a) 引力透镜的效应的示意图; (b) 在渐变的介质波导芯片中模拟黑洞的引力透镜效应的示意图; (c) 人工黑洞对光子的捕获; (d) 爱因斯坦环的示意图; (e) 渐变的介质波导芯片中模拟爱因斯坦环的示意图; (f) 模拟爱因斯坦环的实验结果图; (g) 在黎曼曲面上光线的传播; (h)共形Talbot效应的实验结果; (i)利用共形Talbot效应演示的数字编码的传输

Figure 2. (a) The schematic of gravitational lensing effect; (b) the emulation of the gravitational lensing of the black hole using adiabatic change dielectric waveguides on a photonic chip; (c) the light trapping of an artificial black hole; (d) the schematic of Einstein ring; (e) the emulation of Einstein ring using adiabatic change dielectric waveguides on a photonic chip; (f) the experiment result of the emulation of Einstein ring; (g) the light propagation on Riemann’s space; (h) the experimental result of conformal Talbot effect; (i) digital coding using the conformal Talbot effect.

DownLoad: Full-Size Img PowerPoint

图 3 (a1)−(a3) 皮肤隐身衣, 其中(a1) 利用超表面实现皮肤隐身衣的示意图, (a2)有隐身衣时的效果, (a3) 没有隐身衣时的效果; (b1), (b2) 渐变超表面实现电磁波从远场到近场的高效转换, 其中(b1) 渐变超表面波导的示意图; (b2) 近场扫描的实验结果; (c1)−(c5) 超表面波导对表面等离激元的高效调控, 其中(c1) 超表面的表面等离激元波导的示意图, (c2) 超表面的表面等离激元波导的样品图, (c3)−(c5) 在超表面的表面等离激元波导上实现正折射、零折射、负折射; (d1), (d2) 石墨烯超表面实现表面等离激元色散的拓扑相变, 其中(d1) 石墨烯超表面对电导率的调控, (d2) 石墨烯超表面实现表面等离激元色散; (e1)−(e3)超表面波导实现不对称的电磁传输, 其中(e1)超表面波导的示意图, (e2)实验样品图, (e3)实验结果; (f1), (f2) 超表面波导实现电磁模式的转换, 其中(f1) 渐变超表面波导示意图; (f2)电磁模式转换的实验结果

Figure 3. (a1)−(a3) Skin cloaking: (a1) Schematic of skin cloaking using metasurfaces; (a2) the reflection case with skin cloaking; (a3) the reflection case without skin cloaking. (b1), (b2) A gradient-index metasurface used to convert a freely propagating wave to a surface wave: (b1) Schematic picture describing the near-field scanning technique; (b2) the experimental result using near-field scanning. (c1)−(c5) Metasurface waveguide for manipulating surface plasmons: (c1) Schematic illustration of a metasurface made of periodic metallic gratings; (c2) a scanning electron microscope image of a device; (c3)−(c5) images of SPP refraction at metasurface waveguides. (d1), (d2) Topological transitions for surface plasmon propagation using grapheme metasurface: (d1) Effective conductivity tensor of the uniaxial metasurface waveguide; (d2) isofrequency contours of grapheme metasurface waveguides. (e1)−(e3) The asymmetric propagation of electromagnetic waves using metasurface waveguide: (e1) Schematic diagram of a metasurface waveguide; (e2) the fabricated sample; (e3) the experimental result. (f1), (f2) The manipulation of waveguide modes using a metasurface waveguide: (f1) Schematic of a working device; (f2) the experimental result demonstrates mode converts.

DownLoad: Full-Size Img PowerPoint

图 4 (a) 由超表面波导构造的负质量密度宇宙弦的示意图; (b) 由超表面波导构造的正质量密度宇宙弦的示意图; (c)负质量密度宇宙弦对电磁波散射的实验结果图; (d)正质量密度宇宙弦对电磁波散射的实验结果图; (e) 由超表面波导模拟加速空间中的粒子运动与轫致辐射的示意图; (f) 实验样品照片; (g) 实验测量的等离激元波束

Figure 4. (a) Schematic of cosmic string with negative mass density using metasurace waveguides; (b) the electromagnetic scattering in the spacetime of cosmic string with positive mass density; (c) the experimental results to emulate negative cosmic string; (d) the experimental results to emulate positive cosmic string; (e) the schematic of mimicking Bremsstrahlung radiation of moving particles; (f) the scanning electron microscope image of a sample; (g) the experimental result of surface plasmon rays.

DownLoad: Full-Size Img PowerPoint

图 5 (a) 在球面上电磁波导的传播; (b) 在马鞍面上电磁波导的传播; (c) 加速波包在球面上远离测地线的传播; (d) 在马鞍面上电磁波导传播的干涉; (e) 电磁波在Flamm形曲面传播的示意图; (f) 空间曲率对弯曲波导衍射的影响; (g) 弯曲曲面上的测地线透镜; (h) 实验制备的旋转锥形结构; (i), (j) 旋转锥形结构对曲面上电磁波的散射

Figure 5. (a) Propagating electromagnetic waves on a sphere waveguide; (b) the propagating electromagnetic waves on a saddle waveguide; (c) the observation of accelerating wave packets on a sphere waveguide; (d) the interference of electromagnetic waves on a sphere waveguide; (e) schematic of the coupling scheme of the light to the paraboloid waveguide; (f) curvature effects on diffraction; (g) the geodesic lens on a curved space; (h) the side view of experimental cone structure; (i), (j) the experimental results of electromagnetic waves scattered by the cone structure.

DownLoad: Full-Size Img PowerPoint

图 6 (a1)−(a4) 一维双组元波导阵列模拟广义相对论的Zitterbewegung效应, 其中(a1) 波导阵列的示意图, (a2) 波导阵列的色散, (a3) 实验结果图, (a4) 理论模拟图; (b1)−(b4) 一维弯曲的双组元波导阵列模拟正负粒子对的产生, 其中(b1) 波导阵列的示意图, (b2) 波导阵列的色散, (b3) 实验结果图, (b4) 理论模拟图; (c1), (c2) 波导阵列模拟Majorana费米子, 其中(c1) 波导阵列的示意图, (c2) 实验结果图; (d1)−(d3) 两层垂直放置的双组元的波导阵列模拟中微子振荡, 其中(d1) 波导阵列的示意图; (d2) 波导阵列耦合系数的设置; (d3) 实验结果图

Figure 6. (a1)−(a4) Simulation of relativistic zitterbewegung using the one dimensional binary waveguide system: (a1) Schematic of the one dimensional binary waveguide system; (a2) the dispersion relation of the waveguide; (a3) the experimental results; (a4) the simulation results. (b1)−(b4) Simulation of pair production in vacuum using the curved waveguides: (b1) Schematic of the one dimensional curved waveguide; (b2) the dispersion relation of the waveguide; (b3) the experimental results; (b4) the simulation results. (c1), (c2) Simulation of Majorana fermions: (c1) Schematic of the waveguide system; (c2) the experimental results. (d1)−(d3) Simulation of neutrino oscillations: (d1) Schematic of two vertically displaced binary waveguides; (d2) transverse section of the structure; (d3) the experimental results.

DownLoad: Full-Size Img PowerPoint

图 7 (a) 弯曲曲面上的波导阵列; (b) 弯曲的曲率对波导阵列中电磁波演化的影响; (c) 黑洞视界附近正负能量粒子对的产生的示意图; (d) 飞秒直写波导阵列的样品图; (e) 实验结果图; (f) 正负能量粒子对的演化

Figure 7. (a) Waveguide sites on the curved space; (b) the waveguide evolutions related with curvature of space; (c) the schematic of pair production near the event horizon of black hole; (d) a sample fabricated by femtosecond direct writing method; (e) the experimental result; (f) the evolution of the pair production.

DownLoad: Full-Size Img PowerPoint

[1]	Veselago V G 1968 Soviet Phys. Uspekhi-Ussr 10 509 Google Scholar
[2]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075 Google Scholar
[3]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77 Google Scholar
[4]	Pendry J B 2000 Phys. Rev. Lett. 85 3966 Google Scholar
[5]	Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534 Google Scholar
[6]	Liu Z, Lee H, Xiong Y, Sun C, Zhang X 2007 Science 315 1686 Google Scholar
[7]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780 Google Scholar
[8]	Leonhardt U 2006 Science 312 1777 Google Scholar
[9]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977 Google Scholar
[10]	Li J, Pendry J B 2008 Phys. Rev. Lett. 101 203901 Google Scholar
[11]	Liu R, Ji C, Mock J J, Chin J Y, Cui T J, Smith D R 2009 Science 323 366 Google Scholar
[12]	Ma H F, Cui T J 2010 Nat. Commun. 1 21 Google Scholar
[13]	Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 8 568 Google Scholar
[14]	Gabrielli L H, Cardenas J, Poitras C B, Lipson M 2009 Nat. Photonics 3 461 Google Scholar
[15]	Lee J H, Blair J, Tamma V A, Wu Q, Rhee S J, Summers C J, Park W 2009 Opt. Express 17 12922 Google Scholar
[16]	Zhang B, Luo Y, Liu X, Barbastathis G 2011 Phys. Rev. Lett. 106 033901 Google Scholar
[17]	Chen X, Luo Y, Zhang J, Jiang K, Pendry J B, Zhang S 2011 Nat. Commun. 2 176 Google Scholar
[18]	Chen H S, Zheng B, Shen L, Wang H, Zhang X, Zheludev N I, Zhang B 2013 Nat. Commun. 4 2652 Google Scholar
[19]	Zhang S, Genov D A, Sun C, Zhang X 2008 Phys. Rev. Lett. 100 123002 Google Scholar
[20]	Farhat M, Guenneau S, Enoch S 2009 Phys. Rev. Lett. 103 024301 Google Scholar
[21]	Zhang S, Xia C, Fang N 2011 Phys. Rev. Lett. 106 024301 Google Scholar
[22]	Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901 Google Scholar
[23]	Cummer S A, Schurig D 2007 New J. Phys. 9 45 Google Scholar
[24]	Chen H, Chan C T 2007 Appl. Phys. Lett. 91 183518 Google Scholar
[25]	Leonhardt U 2013 Nature 498 440 Google Scholar
[26]	Xu H, Shi X, Gao F, Sun H, Zhang B 2014 Phys. Rev. Lett. 112 054301 Google Scholar
[27]	Liu Y, Jiang W, He S, Ma Y 2014 Opt. Express 22 17006 Google Scholar
[28]	Ma Y G, Ong C K, Tyc T, Leonhardt U 2009 Nat. Mater. 8 639 Google Scholar
[29]	Chen H Y, Chan C T 2007 Appl. Phys. Lett. 90 241105 Google Scholar
[30]	Lai Y, Ng J, Chen H Y, Han D, Xiao J, Zhang Z Q, Chan C T 2009 Phys. Rev. Lett. 102 253902 Google Scholar
[31]	Liu F, Liang Z, Li J 2013 Phys. Rev. Lett. 111 033901 Google Scholar
[32]	Liu F, Li J 2015 Phys. Rev. Lett. 114 103902 Google Scholar
[33]	Chen H Y, Chan C T, Sheng P 2010 Nat. Mater. 9 387 Google Scholar
[34]	Rahm M, Roberts D A, Pendry J B, Smith D R 2008 Opt. Express 16 11555 Google Scholar
[35]	Roberts D A, Rahm M, Pendry J B, Smith D R 2008 Appl. Phys. Lett. 93 251111 Google Scholar
[36]	Huidobro P A, Nesterov M L, Martin-Moreno L, Garcia-Vidal F J 2010 Nano Lett. 10 1985 Google Scholar
[37]	Liu Y, Zentgraf T, Bartal G, Zhang X 2010 Nano Lett. 10 1991 Google Scholar
[38]	Zentgraf T, Liu Y, Mikkelsen M H, Valentine J, Zhang X 2011 Nat. Nanotechnol. 6 151 Google Scholar
[39]	Zentgraf T, Valentine J, Tapia N, Li J, Zhang X 2010 Adv. Mater. 22 2561 Google Scholar
[40]	Hawking S W 1974 Nature 248 30 Google Scholar
[41]	Unruh W G 1981 Phys. Rev. Lett. 46 1351 Google Scholar
[42]	Nation P D, Blencowe M P, Rimberg A J, Buks E 2009 Phys. Rev. Lett. 103 087004 Google Scholar
[43]	Giovanazzi S 2005 Phys. Rev. Lett. 94 061302 Google Scholar
[44]	Jacobson T A, Volovik G E 1998 Phys. Rev. D 58 064021 Google Scholar
[45]	Garay L J, Anglin J R, Cirac J I, Zoller P 2000 Phys. Rev. Lett. 85 4643 Google Scholar
[46]	de Nova J R M, Golubkov K, Kolobov V I, Steinhauer J 2019 Nature 569 688 Google Scholar
[47]	Hu J, Feng L, Zhang Z, Chin C 2019 Nat. Phys. 15 785 Google Scholar
[48]	Horstmann B, Reznik B, Fagnocchi S, Cirac J I 2010 Phys. Rev. Lett. 104 250403 Google Scholar
[49]	Philbin T G, Kuklewicz C, Robertson S, Hill S, Konig F, Leonhardt U 2008 Science 319 1367 Google Scholar
[50]	Drori J, Rosenberg Y, Bermudez D, Silberberg Y, Leonhardt U 2019 Phys. Rev. Lett. 122 010404 Google Scholar
[51]	Belgiorno F, Cacciatori S L, Clerici M, Gorini V, Ortenzi G, Rizzi L, Rubino E, Sala V G, Faccio D 2010 Phys. Rev. Lett. 105 203901 Google Scholar
[52]	Yu H, Hu J 2015 Chin. Sci. Bull. 60 2697 Google Scholar
[53]	Bekenstein R, Schley R, Mutzafi M, Rotschild C, Segev M 2015 Nat. Phys. 11 872 Google Scholar
[54]	Roger T, Maitland C, Wilson K, Westerberg N, Vocke D, Wright E M, Faccio D 2016 Nat. Commun. 7 13492 Google Scholar
[55]	Smolyaninov I I, Narimanov E E 2010 Phys. Rev. Lett. 105 067402 Google Scholar
[56]	Smolyaninov I I, Hwang E, Narimanov E 2012 Phys. Rev. B 85 235122 Google Scholar
[57]	Smolyaninov I I, Hung Y J 2011 J. Opt. Soc. Am. B: Opt. Phys. 28 1591 Google Scholar
[58]	Smolyaninov I I, Hung Y J, Hwang E 2012 Phys. Lett. A 376 2575 Google Scholar
[59]	Greenleaf A, Kurylev Y, Lassas M, Uhlmann G 2007 Phys. Rev. Lett. 99 183901 Google Scholar
[60]	Narimanov E E, Kildishev A V 2009 Appl. Phys. Lett. 95 041106 Google Scholar
[61]	Cheng Q, Cui T J, Jiang W X, Cai B G 2010 New J. Phys. 12 063006 Google Scholar
[62]	Genov D A, Zhang S, Zhang X 2009 Nat. Phys. 5 687 Google Scholar
[63]	Chen H Y, Miao R X, Li M 2010 Opt. Express 18 15183 Google Scholar
[64]	Li M, Miao R X, Pang Y 2010 Opt. Express 18 9026 Google Scholar
[65]	Li M, Miao R X, Pang Y 2010 Phys. Lett. B 689 55 Google Scholar
[66]	Mackay T G, Lakhtakia A 2014 IEEE Trans. Antennas Propag. 62 6149 Google Scholar
[67]	Ginis V, Tassin P, Craps B, Veretennicoff I 2010 Opt. Express 18 5350 Google Scholar
[68]	Hu J, Yu H 2018 Phys. Lett. B 777 346 Google Scholar
[69]	Smolyaninov I I, Smolyaninova V N, Kildishev A V, Shalaev V M 2009 Phys. Rev. Lett. 102 213901 Google Scholar
[70]	Stockman M I 2004 Phys. Rev. Lett. 93 137404 Google Scholar
[71]	Choi H, Pile D F P, Nam S, Bartal G, Zhang X 2009 Opt. Express 17 7519 Google Scholar
[72]	Choo H, Kim M K, Staffaroni M, Seok T J, Bokor J, Cabrini S, Schuck P J, Wu M C, Yablonovitch E 2012 Nat. Photonics 6 838
[73]	Cang H, Salandrino A, Wang Y, Zhang X 2015 Nat. Commun. 6 7942 Google Scholar
[74]	Pendry J B, Aubry A, Smith D R, Maier S A 2012 Science 337 549 Google Scholar
[75]	Aubry A, Lei D Y, Fernandez-Dominguez A I, Sonnefraud Y, Maier S A, Pendry J B 2010 Nano Lett. 10 2574 Google Scholar
[76]	Fernandez-Dominguez A I, Maier S A, Pendry J B 2010 Phys. Rev. Lett. 105 266807 Google Scholar
[77]	Pendry J B, Fernandez-Dominguez A I, Luo Y, Zhao R 2013 Nat. Phys. 9 518 Google Scholar
[78]	Pendry J B, Huidobro P A, Luo Y, Galiffi E 2017 Science 358 915 Google Scholar
[79]	Sheng C, Liu H, Zhu S, Genov D A 2016 Sci. Rep. 6 23514 Google Scholar
[80]	Sheng C, Liu H, Wang Y, Zhu S N, Genov D A 2013 Nat. Photonics 7 902 Google Scholar
[81]	Sheng C, Bekenstein R, Liu H, Zhu S, Segev M 2016 Nat. Commun. 7 10747 Google Scholar
[82]	Wang X, Liu H, Sheng C, Zhu S 2018 J. Opt. 20 024015 Google Scholar
[83]	Wang X, Chen H, Liu H, Xu L, Sheng C, Zhu S 2017 Phys. Rev. Lett. 119 033902 Google Scholar
[84]	Wang Y, Sheng C, Liu H, Zheng Y J, Zhu C, Wang S M, Zhu S N 2012 Opt. Express 20 13006 Google Scholar
[85]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[86]	Kildishev A V, Boltasseva A, Shalaev V M 2013 Science 339 1232009 Google Scholar
[87]	Yu N, Capasso F 2014 Nat. Mater. 13 139 Google Scholar
[88]	Wang S, Wu P C, Su V C, Lai Y C, Chu C H, Chen J W, Lu S H, Chen J, Xu B, Kuan C H, Li T, Zhu S, Tsai D P 2017 Nat. Commun. 8 187 Google Scholar
[89]	Jiang S C, Xiong X, Hu Y S, Hu Y H, Ma G B, Peng R W, Sun C, Wang M 2014 Phys. Rev. X 4 021026
[90]	Zheng G, Muehlenbernd H, Kenney M, Li G, Zentgraf T, Zhang S 2015 Nat. Nanotechnol. 10 308 Google Scholar
[91]	Li L, Cui T J, Ji W, Liu S, Ding J, Wan X, Li Y B, Jiang M, Qiu C W, Zhang S 2017 Nat. Commun. 8 197 Google Scholar
[92]	Ni X, Wong Z J, Mrejen M, Wang Y, Zhang X 2015 Science 349 1310 Google Scholar
[93]	Sun S, He Q, Xiao S, Xu Q, Li X, Zhou L 2012 Nat. Mater. 11 426 Google Scholar
[94]	Liu Y, Zhang X 2013 Appl. Phys. Lett. 103 141101 Google Scholar
[95]	High A A, Devlin R C, Dibos A, Polking M, Wild D S, Perczel J, de Leon N P, Lukin M D, Park H 2015 Nature 522 192 Google Scholar
[96]	Gomez-Diaz J S, Tymchenko M, Alu A 2015 Phys. Rev. Lett. 114 233901 Google Scholar
[97]	Xu Y, Gu C, Hou B, Lai Y, Li J, Chen H 2013 Nat. Commun. 4 2561 Google Scholar
[98]	Li Z, Kim M H, Wang C, Han Z, Shrestha S, Overvig A C, Lu M, Stein A, Agarwal A M, Loncar M, Yu N 2017 Nat. Nanotechnol. 12 675 Google Scholar
[99]	Sheng C, Liu H, Zhu S 2019 Sci. Bull. 64 793 Google Scholar
[100]	Sheng C, Liu H, Chen H, Zhu S 2018 Nat. Commun. 9 4271 Google Scholar
[101]	Zhong F, Li J, Liu H, Zhu S 2018 Phys. Rev. Lett. 120 243901 Google Scholar
[102]	Dacosta R C T 1981 Phys. Rev. A 23 1982 Google Scholar
[103]	Batz S, Peschel U 2008 Phys. Rev. A 78 043821 Google Scholar
[104]	Batz S, Peschel U 2010 Phys. Rev. A 81 053806 Google Scholar
[105]	Schultheiss V H, Batz S, Szameit A, Dreisow F, Nolte S, Tuennermann A, Longhi S, Peschel U 2010 Phys. Rev. Lett. 105 143901 Google Scholar
[106]	Schultheiss V H, Batz S, Peschel U 2016 Nat. Photonics 10 106 Google Scholar
[107]	Bekenstein R, Nemirovsky J, Kaminer I, Segev M 2014 Phys. Rev. X 4 011038
[108]	Patsyk A, Bandres M A, Bekenstein R, Segev M 2018 Phys. Rev. X 8 011001
[109]	Xu L, Wang X, Tyc T, Sheng C, Zhu S, Liu H, Chen H 2019 Photonics Res. 7 1266 Google Scholar
[110]	Xu L, He R, Yao K, Chen J M, Sheng C, Chen Y, Cai G, Zhu S, Liu H, Chen H 2019 Phys. Rev. Appl. 11 034072 Google Scholar
[111]	Bekenstein R, Kabessa Y, Sharabi Y, Tal O, Engheta N, Eisenstein G, Agranat A J, Segev M 2017 Nat. Photonics 11 664 Google Scholar
[112]	Xu C, Wang L G 2019 New J. Phys. 21 113013 Google Scholar
[113]	Zhu J, Liu Y, Liang Z, Chen T, Li J 2018 Phys. Rev. Lett. 121 234301 Google Scholar
[114]	Libster-Hershko A, Shiloh R, Arie A 2019 Optica 6 115 Google Scholar
[115]	Szameit A, Nolte S 2010 J. Phys. B: At. Mol. Opt. Phys. 43 163001 Google Scholar
[116]	Morandotti R, Peschel U, Aitchison J S, Eisenberg H S, Silberberg K 1999 Phys. Rev. Lett. 83 4756 Google Scholar
[117]	Pertsch T, Dannberg P, Elflein W, Brauer A, Lederer F 1999 Phys. Rev. Lett. 83 4752 Google Scholar
[118]	Chiodo N, Della V G, Osellame R, Longhi S, Cerullo G, Ramponi R, Laporta P 2006 Opt. Lett. 31 1651 Google Scholar
[119]	Block A, Etrich C, Limboeck T, Bleckmann F, Soergel E, Rockstuhl C, Linden S 2014 Nat. Commun. 5 3843 Google Scholar
[120]	Dreisow F, Szameit A, Heinrich M, Pertsch T, Nolte S, Tuennermann A, Longhi S 2009 Phys. Rev. Lett. 102 076802 Google Scholar
[121]	Trompeter H, Pertsch T, Lederer F, Michaelis D, Streppel U, Brauer A, Peschel U 2006 Phys. Rev. Lett. 96 023901 Google Scholar
[122]	Lahini Y, Avidan A, Pozzi F, Sorel M, Morandotti R, Christodoulides D N, Silberberg Y 2008 Phys. Rev. Lett. 100 013906 Google Scholar
[123]	Martin L, di Giuseppe G, Perez-Leija A, Keil R, Dreisow F, Heinrich M, Nolte S, Szameit A, Abouraddy A F, Christodoulides D N, Saleh B E A 2011 Opt. Express 19 13636 Google Scholar
[124]	Bromberg Y, Lahini Y, Morandotti R, Silberberg Y 2009 Phys. Rev. Lett. 102 253904 Google Scholar
[125]	Tang H, Lin X F, Feng Z, Chen J Y, Gao J, Sun K, Wang C Y, Lai P C, Xu X Y, Wang Y, Qiao L F, Yang A L, Jin X M 2018 Sci. Adv. 4 eaat3174 Google Scholar
[126]	Dreisow F, Heinrich M, Keil R, Tuennermann A, Nolte S, Longhi S, Szameit A 2010 Phys. Rev. Lett. 105 143902 Google Scholar
[127]	Dreisow F, Longhi S, Nolte S, Tuennermann A, Szameit A 2012 Phys. Rev. Lett. 109 110401 Google Scholar
[128]	Zeuner J M, Efremidis N K, Keil R, Dreisow F, Christodoulides D N, Tuennermann A, Nolte S, Szameit A 2012 Phys. Rev. Lett. 109 023602 Google Scholar
[129]	Keil R, Noh C, Rai A, Stuetzer S, Nolte S, Angelakis D G, Szameit A 2015 Optica 2 454 Google Scholar
[130]	Marini A, Longhi S, Biancalana F 2014 Phys. Rev. Lett. 113 150401 Google Scholar
[131]	Koke C, Noh C, Angelakis D G 2016 Ann. Phys. 374 162 Google Scholar
[132]	Lustig E, Cohen M I, Bekenstein R, Harari G, Bandres M A, Segev M 2017 Phys. Rev. A 96 041804 Google Scholar
[133]	Wang Y, Sheng C, Lu Y, Gao J, Chang Y, Pang X, Yang T, Zhu S, Liu H, Jin X 2020 Natl. Sci. Rev. DOI: 10.1093/nsr/nwaa111

[1]	Gao Yue, Yu Bo-Cheng, Guo Rui, Cao Yan-Yan, Xu Ya-Dong. Optical meta-cage based on phase gradient metagrating. Acta Physica Sinica, 2023, 72(2): 024209. doi: 10.7498/aps.72.20221696
[2]	Zhou Xiao-Xia, Chen Ying, Cai Li. An ultra-narrow-band optical filter based on zero refractive index metamaterial. Acta Physica Sinica, 2023, 72(17): 174205. doi: 10.7498/aps.72.20230394
[3]	Li Yi-Ming, Wang Xin, Li Hao, Du Xian, Sun Peng. Energy harvesting and thermoelectric conversion characteristics based on thermal metamaterials. Acta Physica Sinica, 2022, 71(20): 207304. doi: 10.7498/aps.71.20221061
[4]	Qin Zhao-Fu, Chen Hao, Hu Tao-Zheng, Chen Zhuo, Wang Zhen-Lin. Fundamental wave and second-harmonic focusing based on guided wave-driven phase-change materials metasurfaces. Acta Physica Sinica, 2022, 71(3): 034208. doi: 10.7498/aps.71.20211596
[5]	Song Rui-Rui, Deng Qin-Ling, Zhou Shao-Lin. Photonic meta-switch based on phase change and catenary-enabled continuous phase regulation. Acta Physica Sinica, 2022, 71(2): 029101. doi: 10.7498/aps.71.20211538
[6]	Wang Hao-Ran, Lan Jun, Chen Jia-Hui, Li Yi-Feng. Sound field enhancement based on multiple-cavity metamaterial. Acta Physica Sinica, 2021, 70(15): 154301. doi: 10.7498/aps.70.20202172
[7]	Wu Feng, Guo Zhi-Wei, Wu Jia-Ju, Jiang Hai-Tao, Du Gui-Qiang. Band gap engineering and applications in compound periodic structure containing hyperbolic metamaterials. Acta Physica Sinica, 2020, 69(15): 154205. doi: 10.7498/aps.69.20200084
[8]	Lin Yue-Chai, Liu Fang, Huang Yi-Dong. Cherenkov radiation based on metamaterials. Acta Physica Sinica, 2020, 69(15): 154103. doi: 10.7498/aps.69.20200260
[9]	. Preface to the special topic: Optical metamaterials. Acta Physica Sinica, 2020, 69(15): 150101. doi: 10.7498/aps.69.150101
[10]	Tian Yuan, Ge Hao, Lu Ming-Hui, Chen Yan-Feng. Research advances in acoustic metamaterials. Acta Physica Sinica, 2019, 68(19): 194301. doi: 10.7498/aps.68.20190850
[11]	Yang Peng, Qin Jin, Xu Jin, Han Tian-Cheng. Ultrathin flexible transmission metamaterial absorber. Acta Physica Sinica, 2019, 68(8): 087802. doi: 10.7498/aps.68.20182225
[12]	Yan Xin, Liang Lan-Ju, Zhang Zhang, Yang Mao-Sheng, Wei De-Quan, Wang Meng, Li Yuan-Ping, Lü Yi-Ying, Zhang Xing-Fang, Ding Xin, Yao Jian-Quan. Dynamic multifunctional control of terahertz beam based on graphene coding metamaterial. Acta Physica Sinica, 2018, 67(11): 118102. doi: 10.7498/aps.67.20180125
[13]	Deng Jun-Hong, Li Gui-Xin. Nonlinear photonic metasurfaces. Acta Physica Sinica, 2017, 66(14): 147803. doi: 10.7498/aps.66.147803
[14]	Long Yang, Ren Jie, Jiang Hai-Tao, Sun Yong, Chen Hong. Quantum spin Hall effect in metamaterials. Acta Physica Sinica, 2017, 66(22): 227803. doi: 10.7498/aps.66.227803
[15]	Wang Hong-Sheng, Xu Zi-Yan, Zhang Yang, Chen Kai-Yan, Li Bao-Chen, Wu Ling-An. Attack on the advanced encryption standard cipher chip based on the correspondence between Hamming weight and the number of emitted photons. Acta Physica Sinica, 2016, 65(11): 118901. doi: 10.7498/aps.65.118901
[16]	Shen Xiang-Ying, Huang Ji-Ping. Transformation thermotics: thermal metamaterials and their applications. Acta Physica Sinica, 2016, 65(17): 178103. doi: 10.7498/aps.65.178103
[17]	Xu Xin-He, Liu Ying, Gan Yue-Hong, Liu Wen-Miao. A method of retrieving the constitutive parameter matrix of magnetoelectric coupling metamaterial. Acta Physica Sinica, 2015, 64(4): 044101. doi: 10.7498/aps.64.044101
[18]	Wang Hong-Sheng, Ji Dao-Gang, Gao Yan-Lei, Zhang Yang, Chen Kai-Yan, Chen Jun-Guang, Wu Ling-An, Wang Yong-Zhong. Photonic emission analysis of cipher chips based on time-correlated single-photon counting. Acta Physica Sinica, 2015, 64(5): 058901. doi: 10.7498/aps.64.058901
[19]	Liu Jiang-Tao, Xiao Wen-Bo, Huang Jie-Hui, Yu Tian-Bao, Deng Xin-Hua. Tunable pass band of anomalous dispersion photonic crystals. Acta Physica Sinica, 2010, 59(3): 1665-1670. doi: 10.7498/aps.59.1665
[20]	HUANG XIANG-YOU. THE CLASSICAL ANALOGY OF UNCERTAINTY RELATION. Acta Physica Sinica, 1996, 45(3): 353-359. doi: 10.7498/aps.45.353

Catalog

Vol. 69, Issue 15 - 2020-08-05

Metrics

Abstract views: 6888
PDF Downloads: 338
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板