Makarenko M, Burguete-Lopez A, Getman F, Fratalocchi A
PRIMALIGHT, Faculty of Electrical Engineering, Applied Mathematics and Computational Sci-4ence, King Abdullah University of Science and Technology, Thuwal, 23955-6900, Saudi Arabia.
Sci Rep. 2020 Jun 3;10(1):9038. doi: 10.1038/s41598-020-65293-6.
The design of optical resonant systems for controlling light at the nanoscale is an exciting field of research in nanophotonics. While describing the dynamics of few resonances is a relatively well understood problem, controlling the behavior of systems with many overlapping states is considerably more difficult. In this work, we use the theory of generalized operators to formulate an exact form of spatio-temporal coupled mode theory, which retains the simplicity of traditional coupled mode theory developed for optical waveguides. We developed a fast computational method that extracts all the characteristics of optical resonators, including the full density of states, the modes quality factors, and the mode resonances and linewidths, by employing a single first principle simulation. This approach can facilitate the analytical and numerical study of complex dynamics arising from the interactions of many overlapping resonances, defined in ensembles of resonators of any geometrical shape and in materials with arbitrary responses.
用于在纳米尺度上控制光的光学谐振系统设计是纳米光子学中一个令人兴奋的研究领域。虽然描述少数谐振的动力学是一个相对容易理解的问题，但控制具有许多重叠状态的系统的行为要困难得多。在这项工作中，我们使用广义算子理论来制定时空耦合模理论的精确形式，该理论保留了为光波导开发的传统耦合模理论的简单性。我们开发了一种快速计算方法，通过单次第一原理模拟提取光学谐振器的所有特性，包括完整的态密度、模式品质因数以及模式谐振和线宽。这种方法可以促进对由许多重叠谐振相互作用产生的复杂动力学的分析和数值研究，这些重叠谐振定义在任何几何形状的谐振器集合以及具有任意响应的材料中。
