High Order Impedance Boundary Condition for the Three-dimensional Scattering Problem in Electromagnetism

TL;DR

This paper introduces a high order impedance boundary condition (HOIBC) for 3D electromagnetic scattering problems, demonstrating improved accuracy over standard methods through variational formulation and numerical validation.

Contribution

It presents a novel variational formulation using HOIBC for 3D scattering, with theoretical analysis and validation showing enhanced accuracy.

Findings

HOIBC improves accuracy over SIBC in 3D scattering simulations

The variational formulation ensures existence and uniqueness of solutions

Numerical validation confirms the effectiveness of HOIBC

Abstract

In this paper, we propose a variational formulation with the use of high order impedance boundary condition (HOIBC) to solve the scattering problem. We study the existence and uniqueness of the solution. Then, a discretization of this formulation is done with Rao-Wilton-Glisson (RWG). We give validations of the HOIBC obtained with a 3D MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.