Conversion Matrix Method of Moments for Time-Varying Electromagnetic Analysis

TL;DR

This paper introduces a conversion matrix method of moments for analyzing electromagnetic scattering in systems with time-varying components, offering a new approach with reduced computational costs validated against existing methods.

Contribution

The paper develops a novel conversion matrix approach integrated with the method of moments for efficient analysis of time-varying electromagnetic systems.

Findings

Effective in modeling time-varying electromagnetic structures

Reduces computational cost through compression techniques

Validated against finite difference time domain and co-simulation methods

Abstract

A conversion matrix approach to solving network problems involving time-varying circuit components is applied to the method of moments for electromagnetic scattering analysis. Detailed formulations of this technique's application to the scattering analysis of structures loaded with time-varying circuit networks or constructed from general time-varying media are presented. The computational cost of the method is discussed, along with an analysis of compression techniques capable of significantly reducing computational cost for partially loaded systems. Several numerical examples demonstrate the capabilities of the technique along with its validation against conventional methods of modeling time-varying electromagnetic systems, such as finite difference time domain and transient circuit co-simulation.