Ray model and ray-wave correspondence in coupled optical microdisks

TL;DR

This paper develops a ray model for coupled optical microdisks, analyzing phase-space structures, resonance stability, and the connection between ray dynamics and wave resonances, revealing how microdisk properties influence optical behavior.

Contribution

It introduces a novel ray model for coupled microdisks that links phase-space structures with spectral resonance properties, advancing understanding of ray-wave correspondence in these systems.

Findings

Island structures depend on the refractive index.

Resonance leakiness correlates with phase-space islands.

Ray-wave correspondence explains spectral resonance features.

Abstract

We introduce a ray model for coupled optical microdisks, in which we select coupling-efficient rays among the splitting rays. We investigate the resulting phase-space structure and report island structures arising from the ray-coupling between the two microdisks. We find the microdisks's refractive index to influence the phase-space structure and calculate the stability and decay rates of the islands. Turning to ray-wave correspondence, we find many resonances to be directly related to the presence of these islands. We study the relation between the (ray-picture originating) island structures and the (wave-picture originating) spectral properties of resonances, especially the leakiness of the resonances which is represented as the imaginary part of the complex wave vector.