A Volume-Surface Integral Equation for Electromagnetic Scattering by Inhomogeneous Cylinders

Abstract

This paper presents an integral equation formulation for electromagnetic scattering by inhomogeneous infinite cylinders having arbitrary scalar permittivities and permeabilities. The formulation involves both volume and surface integrals with only one unknown field component, and is applicable to both transverse electric and transverse magnetic cases. This volume-surface integral equation is well-suited for numerical implementation. In this paper, the integral equation is first derived by integrating the wave equation with the aid of the free-space Green's function, and then analyzed from the physical point of view, resulting in a new interpretation for the scattering mechanism. Finally, the equation is programmed using the method of moments with pulse expansion functions and point-matching. Numerical results are shown to demonstrate the validity of the formulation and the new interpretation of the scattering mechanism.