An FE-EBC Method for Electromagnetic Scattering from Inhomogeneous Objects

TL;DR

This paper introduces a finite-element-extended boundary condition (FE-EBC) method that efficiently computes electromagnetic scattering from inhomogeneous objects using hierarchical Legendre basis functions and a multiple-harmonic surface expansion.

Contribution

The paper develops a novel FE-EBC method with hierarchical Legendre basis functions and a multiple-harmonic boundary expansion for improved accuracy and efficiency in electromagnetic scattering simulations.

Findings

Method achieves high accuracy in numerical examples

Significant reduction in computational time

Converges reliably for complex inhomogeneous objects

Abstract

In this paper, we present a finite-element-extended boundary condition (FE-EBC) method for an efficient calculation of the electromagnetic wave scattering from inhomogeneous magneto-dielectric objects. To this end, we apply the hierarchical Legendre polynomial basis functions on large curved inhomogeneous hexahedral elements and propose an efficient numerical algorithm for a fast computation of the finite-element matrix entries in the presence of the material and Jacobian inhomogeneities. Also, we present a multiple-harmonic expansion on the surface boundary to represent the surface magnetic field accurately. The accuracy, efficiency and convergence of the method are studied through some numerical examples.