Evaluation of Green's Function Integrals in Conducting Media

Abstract

This work presents an accurate integration method for computing Green's function operators related to lossy conducting media. The presented approach is ultrawideband, i.e., the integration schemes cover the entire range of frequency behavior, from high frequencies where skin current is prevalent to low frequencies where volume current flow dominates. The scheme is a step toward permitting exact ultrawide-band frequency domain surface-only-based integral-equation simulation of arbitrarily-shaped three-dimensional conductors, and toward obviating the need for volume-based explicit frequency-dependent skin effect modeling. This work deals specifically with the computation of Green's functions and not with the unrelated but important low-frequency conditioning issue associated with the standard electric field integral equation.