2008/05/14 by Julia Unterhinninghofen, Jan Wiersig, Martina Hentschel
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Photonic and Optical Devices #cond-mat.other #nlin.CD #physics.optics
paper · pdf · doi:10.1103/physreve.78.016201
9 pages, 14 figures in reduced quality
arxiv created 2008/05/14 · openalex publication_date 2008/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, an interesting phenomenon of spatial localization of optical modes along periodic ray trajectories near avoided resonance crossings has been observed [Wiersig, Phys. Rev. Lett. 97, 253901 (2006)]. For the case of a microdisk cavity with elliptical cross section, we use the Husimi function to analyze this localization in phase space. Moreover, we present a semiclassical explanation of this phenomenon in terms of the Goos-Hänchen 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.