Optical microdisk cavities with rough sidewalls: A perturbative approach based on weak boundary deformations

摘要

A recently developed perturbation theory for microdisk cavities with weak boundary deformation is applied to the problem of surface roughness. Explicit and transparent formulas for the variance of the frequency splitting and the expectation values of the decay rates are derived for transverse magnetic polarization. For a Gaussian correlation function we demonstrate excellent agreement of our statistical theory with full numerical simulations. The numerical simulations also reveal the chirality of mode pairs in rough microdisks.