Time-domain cavity oscillations supported by a temporally dispersive dielectric

Abstract

Forced time-domain oscillations in a cavity filled with a temporally dispersive polar dielectric are studied. The cavity is bounded by a singly connected closed perfect electric conductor surface S of rather arbitrary shape. A given source pumps a signal of,finite duration to the cavity. Hence, the principle of causality is involved in the formulation of the problem. The temporal cavity oscillations are obtained as a self-consistent solution to the system of Maxwell's equations and Debye equation supplemented with appropriate initial conditions. Analytical solution is obtained by using the evolutionary approach to electromagnetics proposed and implemented recently. Temporal oscillations of the cavity modes are studied. Obtained results are compared with the finite-difference time-domain solutions.