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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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