A Novel Single-Source Surface Integral Method to Compute Scattering from Dielectric Objects

TL;DR

This paper introduces a single-source surface integral method for dielectric object scattering that reduces memory and computation time while maintaining accuracy, simplifying the boundary current calculation.

Contribution

The paper presents a novel surface admittance operator-based approach requiring only one current density, unlike traditional methods needing two.

Findings

Four times lower memory consumption.

Up to eight times faster linear system solution.

Accuracy comparable to existing PMCHWT formulation.

Abstract

Using the traditional surface integral methods, the computation of scattering from a dielectric object requires two equivalent current densities on the boundary of the dielectric. In this paper, we present an approach that requires only a single current density. Our method is based on a surface admittance operator and is applicable to dielectric bodies of arbitrary shape. The formulation results in four times lower memory consumption and up to eight times lower time to solve the linear system than the traditional PMCHWT formulation. Numerical results demonstrate that the proposed technique is as accurate as the PMCHWT formulation.