The effect of fast and continuous change of dielectric permittivity on whispering gallery modes in circular microcavity
The detailed analysis of the response of whispering gallery mode (WGM) to the permittivity change in circular microcavities made of materials with noteworthy relaxation time is presented. Continuous and mathematically well behavior function is employed to describe temporal change of resonator permittivity and the wave equation in both frequency and time domains is analyzed by means of inverse Laplace transform method. The exact transient response of cavity resonance mode with the steady state solutions are described carefully and it is shown that fast and continuous change of resonator dielectric permittivity behave like several propagating boundaries inside and outside the cavity. The transformed WGM appears after transient duration. These analyses are providing suitable tools for investigation of dynamic optical devices.
time-varying media relaxation time of dielectrics whispering gallery modes resonators resonator transient response