Resonances in a circular dielectric cavity

Abstract

We study resonance distributions in a circular dielectric cavity. It is shown that the decay-rate distribution has a peak structure and the details of the peak are consistent with the classical survival probability time distribution. We also investigate the behavior of the complex resonance positions at the small opening limit. At the large $n$ limit, the real part of complex resonance positions approaches the solutions with different $m$ of Dirichlet problem with a scale $n^{-2}$ and the imaginary part goes zero as $n^{-2m}$ for TM and $n^{-2(m+1)}$ for TE polarization, where $m$ is the order of the resonance.

10 pages, 7 figures

References in corpus (3)

• High-Power Directional Emission from Microlasers with Chaotic Resonators
• Classical Phase Space Revealed by Coherent Light
• Survival probability time distribution in dielectric cavities

Cited by in corpus (8)

• Unidirectional emission from circular dielectric microresonators with a point scatterer
• Internal and External Resonances of Dielectric Disks
• Lifetime statistics in chaotic dielectric microresonators
• Outer Resonances and Effective Potential Analogy in Two-Dimensional Dielectric Cavities
• Trace formula for a dielectric microdisk with a point scatterer
• Dynamics of Morphology-Dependent Resonances by Openness in Dielectric Disk for TE polarization
• Ray model and ray-wave correspondence in coupled optical microdisks
• Highly Efficient Boundary Element Analysis of Whispering Gallery Microcavities