# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1907.02564