Early Time Fields in Stratified Microdisk Resonators with Time Discontinuity in Permittivity

Abstract

In this paper we consider circular cavity consisting of a set of concentric rings with time varying dielectric permittivity. We explore how the transients evolve from the complex interaction of reflections occurring at the multiple dielectric interfaces. A closed form solution is obtained for the electric field component by applying the Laplace transform directly to the wave equation and enforcing the corresponding initial and boundary conditions.