Modeling electromagnetic resonators using quasinormal modes

TL;DR

This paper introduces a bi-orthogonal method for modeling electromagnetic resonators using quasinormal modes, providing a clear and precise theoretical framework that enhances understanding and application in optics and nanophotonics.

Contribution

It offers a novel bi-orthogonal approach to model localized electromagnetic resonators with quasinormal modes, clarifying and connecting existing theories in the literature.

Findings

Provides a coherent derivation of quasinormal mode theory

Enables accurate modeling of dissipative electromagnetic systems

Connects different existing modeling approaches

Abstract

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of interest in optics and nanophotonics, the quasinormal modes constitute a powerful modeling tool, and the bi-orthogonal approach provides a coherent, precise, and accessible derivation of the associated theory, enabling an illustrative connection between different modeling approaches that exist in the literature.