SLIM: A Well-Conditioned Single-Source Boundary Element Method for Modeling Lossy Conductors in Layered Media

TL;DR

This paper introduces SLIM, a new single-source boundary element method that produces well-conditioned matrices for modeling lossy conductors in layered media, reducing computational costs without sacrificing accuracy.

Contribution

The paper presents a novel single-source BEM formulation called SLIM that avoids dual basis functions and reduces multilayer Green's function computations, improving efficiency for layered media problems.

Findings

SLIM achieves accurate modeling of lossy conductors in layered media.

The method produces well-conditioned system matrices.

SLIM reduces computational costs compared to existing techniques.

Abstract

The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the use of both single- and double-layer potential operators to obtain a well-conditioned system matrix. The associated computational cost is particularly significant when conductors are embedded in stratified media, and the expensive multilayer Green's function (MGF) must be invoked. In this work, a novel single-source BEM formulation is proposed, which leads to a well-conditioned system matrix without the need for dual basis functions. The proposed single-layer impedance matrix (SLIM) formulation does not require the double-layer potential to model the background medium, which reduces the cost associated with the MGF. The accuracy and efficiency of the proposed method is demonstrated through realistic examples drawn from different applications.