Goos-Haenchen shift and localization of optical modes in deformed microcavities

TL;DR

This paper investigates the spatial localization of optical modes in deformed microcavities, explaining the phenomenon through the Goos-Haenchen shift and phase space analysis, revealing how modes localize on stable or unstable trajectories.

Contribution

It provides a semiclassical explanation for optical mode localization in deformed microcavities using the Husimi function and Goos-Haenchen shift, extending understanding into the wave regime.

Findings

Modes localize on stable islands or unstable trajectories.

Semiclassical correction modifies phase space structure.

Localization explained by phase space analysis.

Abstract

Recently, an interesting phenomenon of spatial localization of optical modes along periodic ray trajectories near avoided resonance crossings has been observed [J. Wiersig, Phys. Rev. Lett. 97, 253901 (2006)]. For the case of a microdisk cavity with elliptical cross section we use the Husimi function to analyse this localization in phase space. Moreover, we present a semiclassical explanation of this phenomenon in terms of the Goos-Haenchen shift which works very well even deep in the wave regime. This semiclassical correction to the ray dynamics modifies the phase space structure such that modes can localize either on stable islands or along unstable periodic ray trajectories.