论文标题
一个有效的求解器，用于普遍的非均匀开放光谐振器的普通法线模式
An efficient solver for the generalized normal modes of non-uniform open optical resonators
论文作者
论文摘要
模态膨胀是解决电磁散射问题的有吸引力技术。使用一组谐振器模式，一劳永逸地计算出来，几乎可以立即获得近场或远场来源的任何配置。传统上，还可以使用封闭的系统，对模态扩展对开放系统的简单概括也可以使用特征性态度。例如，这些开放模式适用于典型的纳米光系统。但是，模式的数值生成通常是模态扩展技术中最困难和耗时的步骤。在这里，我们演示了有效且可靠的模式生成，将目标模式扩展到已知的简单开放系统的模式中。这种重新扩展技术是针对具有非均匀介电特征的谐振器实施的，表明其快速收敛。该方法成功的关键是包含一组纵向基础模式。
Modal expansion is an attractive technique for solving electromagnetic scattering problems. With the one set of resonator modes, calculated once and for all, any configuration of near-field or far-field sources can be obtained almost instantaneously. Traditionally applied to closed systems, a simple and rigorous generalization of modal expansion to open systems using eigenpermittivity states is also available. These open modes are suitable for typical nanophotonic systems, for example. However, the numerical generation of modes is usually the most difficult and time-consuming step of modal expansion techniques. Here, we demonstrate efficient and reliable mode generation, expanding the target modes into the modes of a simpler open system that are known. Such a re-expansion technique is implemented for resonators with non-uniform permittivity profiles, demonstrating its rapid convergence. Key to the method's success is the inclusion of a set of longitudinal basis modes.
