A novel time domain analysis of the modes perturbed by a lossy material in a cavity

Abstract

This study delves into the intricate dynamics of time-domain electromagnetic phenomena within an irregular rectangular cavity perturbed by a lossy conducting body. Focusing on coupled degenerate (singular) TM and TE solenoidal modes, the analysis reveals eigenfrequency splitting due to irregularities like a lossy body. By employing an upgraded version of the Evolutionary Approach to Electromagnetics with novel Maxwell’s equations in SI units, our explicit solution adheres to the causality principle. This united dynamic system exhibits both forced and free oscillations, initiated by a finite duration signal. The study highlights the dual nature of oscillations: forced oscillations excited by the signal and subsequent free oscillations. In irregular cavities, the eigenvalues undergo splitting, signifying a dissipative dynamic system. Our work significantly advances the understanding of these complex electromagnetic systems, demonstrating practical relevance in electromagnetics and offering a novel perspective on irregular cavity dynamics.