Husimi Functions for Coupled Optical Resonators

TL;DR

This paper develops a phase-space analysis framework using Husimi functions to understand coupling mechanisms in optical resonators, demonstrated on an asymmetric dielectric resonator coupled to a waveguide, offering insights and computational advantages.

Contribution

It introduces a phase-space approach with Husimi functions for analyzing coupling in optical resonators, providing a new perspective and reduced computational complexity.

Findings

Phase-space analysis reveals coupling mechanisms.

Husimi functions enable simplified modeling.

Application to dielectric resonator-waveguide system.

Abstract

Phase-space analysis has been widely used in the past for the study of optical resonant systems. While it is usually employed to analyze the far-field behaviour of resonant systems we focus here on its applicability to coupling problems. By looking at the phase-space description of both the resonant mode and the exciting source it is possible to understand the coupling mechanisms as well as to gain insights and approximate the coupling behaviour with reduced computational efforts. In this work we develop the framework for this idea and apply it to a system of an asymmetric dielectric resonator coupled to a waveguide.