TaCoNa-Photonics 2011

Accurate Analysis of Transient Processes in Coupled WGM Microcavities with Time Varying Refractive Index

Nataliya Sakhnenko¹, Alexander Nerukh^1
1Department of Higher Mathematics, Kharkov National University of Radio Electronics, Ukraine
Abstract: This paper presents highly accurate analysis of natural mode transformation in an isolated WGM (whispering gallery mode) resonator and in a chain of coupled WGM resonators when their material is a subject to an abrupt time change in dielectric permittivity. The theory is based on eigenfunctions expansion in the Laplace transform domain and inversion of the solution into the time domain through the residue evaluation. Both the transient response and the new steady state regime are described in detail. Possibility of frequency shift is shown.
Presentation type: Poster