A new variational formulation with high order impedance boundary condition for the scattering problem in electromagnetism

TL;DR

This paper introduces a new variational approach using high order impedance boundary conditions to improve the accuracy of electromagnetic scattering problem solutions, validated through numerical experiments.

Contribution

It presents a novel variational formulation with high order impedance boundary conditions and demonstrates its advantages over standard methods.

Findings

Enhanced accuracy over standard impedance boundary conditions

Validated the formulation with numerical simulations

Established existence and uniqueness of solutions

Abstract

In this paper, we propose some variational formulations 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 these formulations is done. We give validations of the HOIBC obtained with a MoM code that show the improvement in accuracy over the standard impedance boundary condition (SIBC) computations.