Lalanne P, Yan W, Gras A, Sauvan C, Hugonin J-P, Besbes M, Demésy G, Truong M D, Gralak B, Zolla F, Nicolet A, Binkowski F, Zschiedrich L, Burger S, Zimmerling J, Remis R, Urbach P, Liu H T, Weiss T
J Opt Soc Am A Opt Image Sci Vis. 2019 Apr 1;36(4):686-704. doi: 10.1364/JOSAA.36.000686.
Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinormal modes (QNMs), with complex frequencies. For optical resonators made of dispersive materials, the QNM computation requires solving a nonlinear eigenvalue problem. This raises a difficulty that is only scarcely documented in the literature. We review our recent efforts for implementing efficient and accurate QNM solvers for computing and normalizing the QNMs of micro- and nanoresonators made of highly dispersive materials. We benchmark several methods for three geometries, a two-dimensional plasmonic crystal, a two-dimensional metal grating, and a three-dimensional nanopatch antenna on a metal substrate, with the perspective to elaborate standards for the computation of resonance modes.
光学谐振器在现代光子学中有着广泛应用。它们的光谱响应和时间动态特性从根本上由其固有共振驱动，即所谓的具有复频率的准正常模式（QNMs）。对于由色散材料制成的光学谐振器，QNM计算需要求解一个非线性特征值问题。这带来了一个在文献中鲜有记载的难题。我们回顾了我们最近为实现高效且精确的QNM求解器所做的努力，该求解器用于计算和归一化由高色散材料制成的微纳谐振器的QNMs。我们以制定共振模式计算标准为目的，对二维等离子体晶体、二维金属光栅和金属衬底上的三维纳米贴片天线这三种几何结构的几种方法进行了基准测试。
