Solution of EM fields by asymptotic waveform techniques

Abstract

A new numerical solution technique to electromagnetic (EM) field problems is presented. It is based on complex-frequency hopping (CFH), which is an expanded asymptotic waveform evaluation approach proposed for circuit simulation with great success in solving large linear lumped and distributed circuits. The Helmholtz equations are formulated into a set of linear ordinary differential equations which are solved by an asymptotic waveform evaluation. The technique offers a speed or stability advantage over, e.g., the finite difference frequency domain (FDFD) and the finite difference time domain (FDTD) approaches for comparable accuracy. An example of waveguide frequency-domain analysis is provided.