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二维人工超材料的光学拓扑性质

苏照贤 姚恩旭 黄玲玲 王涌天

苏照贤, 姚恩旭, 黄玲玲, 王涌天. 二维人工超材料的光学拓扑性质[J]. 中国光学(中英文), 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074
引用本文: 苏照贤, 姚恩旭, 黄玲玲, 王涌天. 二维人工超材料的光学拓扑性质[J]. 中国光学(中英文), 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074
SU Zhao-xian, YAO En-xu, HUANG Ling-ling, WANG Yong-tian. Optical topological characteristics of two dimensional artificial metamaterials[J]. Chinese Optics, 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074
Citation: SU Zhao-xian, YAO En-xu, HUANG Ling-ling, WANG Yong-tian. Optical topological characteristics of two dimensional artificial metamaterials[J]. Chinese Optics, 2021, 14(4): 955-967. doi: 10.37188/CO.2021-0074

二维人工超材料的光学拓扑性质

基金项目: 北京市卓越青年科学家计划(No. BJJWZYJH01201910007022);国家自然科学基金(No. 61775019,No. 92050117);博士后创新人才支持计划(No. BX20200050)
详细信息
    作者简介:

    苏照贤(1989—),男,特别副研究员,主要从事微纳光学、超材料、拓扑光子学方面的研究。E-mail:suzhaoxian89@bit.edu.cn

    姚恩旭(1994—),男,博士研究生,主要从事微纳光学、光学超表面、拓扑光子学方面研究。E-mail:3220205071@bit.edu.cn

    黄玲玲(1986—),女,教授,博士生导师,入选青年长江学者,北京市卓越青年科学家,主要从事微纳光学物理机制与功能器件方面的研究。E-mail:huanglingling@bit.edu.cn

    王涌天(1957—),男,教授、博士生导师,“长江学者奖励计划”特聘教授,主要从事头盔立体显示、增强现实虚实融合显示、体三维和全息三维显示及其相关光学系统设计方面的研究。E-mail:wyt@bit.edu.cn

  • 中图分类号: O431.1;O436

Optical topological characteristics of two dimensional artificial metamaterials

Funds: Supported by the Beijing Outstanding Young Scientist Program (No. BJJWZYJH01201910007022); National Natural Science Foundation of China (No. 61775019, No. 92050117); National Postdoctoral Program for Innovative Talents of China (No. BX20200050)
More Information
  • 摘要: 以超表面为代表的二维人工超材料通过其亚波长单元增强光与物质的相互作用,进而操控光的振幅、相位、偏振、轨道角动量等物理量。目前,非平凡拓扑性质的二维人工超材料由于具有鲁棒的光单向传输等性质成为了光学领域的研究重点。拓扑相不仅成为了凝聚态物理领域一种描述物质的新的自由度,也成为描述人工超材料光学性质的一个新的参量。本文从拓扑光子学的起源出发,介绍了二维人工超材料的拓扑性质分类以及最新的拓扑光子学研究进展,并进行了总结与展望。

     

  • 图 1  (a) 利用旋磁材料制备的光学拓扑超材料示意图;(b)实验测试得到的体透射系数,光学拓扑超材料的能带图(标签为能带的陈数)[21],实验测得的边界透射系数;(c)大陈数拓扑光子晶体的实验样品以及仿真结构;(d)实验和计算得到的能带结构[24]

    Figure 1.  (a) Structure diagram of optical topological metastructure fabricated by gyromagnetic material; (b) experimental bulk transmission and band structure of optical topological metastructure[21]; (c) topological photonics crystal sample and simulation scheme with large chern number; (d) band structure obtained by experiment and calculation[24]

    图 2  (a)单个单元的耦合环形波导示意图以及实验测试系统;(b)实验测试得到免疫缺陷的鲁棒的边界传输[28];(c)拓扑激光器结构SEM图;(d)拓扑激光器和拓扑平凡激光器在不同泵浦强度下的激发光谱[31]

    Figure 2.  (a) Scheme diagram and experimental setup for each ring coupling unit; (b) defect-imunne robust edge transmission by experimental mearsurement[28]; (c) SEM images of topological laser; (d) emission spectra of topological and trivial laser under different bump intensity[31]

    图 3  (a)拓扑光子晶体示意图[32];(b)$ {p}_{x}\left({p}_{y}\right) $$ {d}_{xy}\left({d}_{{x}^{2}-{y}^{2}}\right) $构成的赝自旋态[32];(c)光学拓扑结构能带图[32];(d)Al2O3柱构成的光学拓扑结构、实验测试得到的7.41 GHz频率时场分布、在S1点和S2点的透射强度[34]

    Figure 3.  (a) Schemetic diagram of topological photonic crystal[32]; (b) pseudo-spin states of $ {p}_{x}\left({p}_{y}\right) $ and $ {d}_{xy}\left({d}_{{x}^{2}-{y}^{2}}\right) $[32]; (c) band structure of topological optical structure[32]; (d) topological optical structure consisiting of Al2O3 pillars, field distribution with frequency of 7.41 GHz in experimental, transmitted energy at S1 and S2[34]

    图 4  (a)利用能谷自由度设计的光学拓扑结构[43];(b)能谷依赖的光学拓扑结构的自旋分离行为[43];(c)左右分别为介电常数为14和17时自旋向上的体态投影以及受拓扑保护的平边界态[43]

    Figure 4.  (a)Optical topological structure designed by energy valley freedom[43]; (b) spin separation behavior in valley dependent optical topological structure[43]; (c) flat edge dispersions in a photonic crystal with different permittivtities. Only the spin-up polarized projection bands (shaded blue region) and the spin-up edge states are illustrated [43]

    图 5  (a)利用硅基板设计的具有不同边界的能谷依赖光学拓扑结构[44];(b)实验和仿真得到的对不同边界路径的透射[44];(c)光子路由示意图[44];(d)光子路由的拓扑光传输[44]

    Figure 5.  (a) Topological optical structure on the substrate of Si with different boundary[44]; (b) transmission spectra obtained by experiment and simulation[44]; (c) schemetic diagram of photon route[44]; (d) topological optical transimission of photon route[44]

    图 6  (a)利用介质层厚度构建参数空间示意图[66];(b)在三维合成维度中的人工外尔点[66];(c)光子晶体截断面上的反射相位分布[66];(d)在外尔点频率处的反射相位,白色虚线为费米弧轨迹[66]

    Figure 6.  (a) Schematic diagram of parameter space constructed by dielectric thickness[66]; (b) artificial Weyl point in 3 synthetic dimensional topological structure[66]; (c) reflection phase on the truncated face of photonic crystal[66]; (d) reflection phase at Weyl point, Fermi arc is marked in white dashed line[66]

    图 7  (a) 二维蜂窝状谐振环阵列结构示意图[67]; (b)频率空间上的螺位错示意图;(c)动态耦合谐振环示意图;(d)拓扑保护态能带图[69]

    Figure 7.  (a) Schematic diagram of 2D honey-comb resonator arrays[67]; (b) schematic of helical dislocation in frequency space; (c) schematic diagram of dynamic resonator; (d) band structure of topology-protected states[69]

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  • 收稿日期:  2021-04-06
  • 修回日期:  2021-04-19
  • 网络出版日期:  2021-05-19
  • 刊出日期:  2021-07-01

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