Liu Chenxu, Gurudev Dutt M V, Pekker David
Opt Express. 2018 Feb 5;26(3):2857-2872. doi: 10.1364/OE.26.002857.
We propose using a topological plasmonic crystal structure composed of an array of nearly parallel nanowires with unequal spacing for manipulating light. In the paraxial approximation, the Helmholtz equation that describes the propagation of light along the nanowires maps onto the Schrödinger equation of the Su-Schrieffer-Heeger (SSH) model. Using a full three-dimensional finite difference time domain solution of the Maxwell equations, we verify the existence of topological defect modes, with sub-wavelength localization, bound to domain walls of the plasmonic crystal. We show that by manipulating domain walls we can construct spatial mode filters that couple bulk modes to topological defect modes, and topological beam-splitters that couple two topological defect modes. Finally, we show that the structures are tolerant to fabrication errors with an inverse length-scale smaller than the topological band gap.
我们建议使用一种由间距不等的近乎平行的纳米线阵列组成的拓扑等离子体晶体结构来操控光。在傍轴近似下,描述光沿纳米线传播的亥姆霍兹方程映射到了Su-Schrieffer-Heeger(SSH)模型的薛定谔方程。通过对麦克斯韦方程组进行完整的三维时域有限差分求解,我们验证了存在与等离子体晶体畴壁相关的具有亚波长局域化的拓扑缺陷模式。我们表明,通过操控畴壁,我们可以构建将体模式耦合到拓扑缺陷模式的空间模式滤波器,以及将两个拓扑缺陷模式耦合的拓扑分束器。最后,我们表明这些结构对于制造误差具有耐受性,其逆长度尺度小于拓扑带隙。