Abstract

This paper presents a FEM-BEM coupling method suitable for the numerical simulation of the electromagnetic scattering of objects composed of dielectric materials and perfect electric conduc- tors. The originality of the approach lies in part in the use of the newly proposed Sparse Cardinal Sine Decomposition SCSD) method for the BEM part of the computation and the fact that the simulation software is almost entirely written in MATLAB. The performance of the method is illustrated by the computation of the electromagnetic scattering by an UAV-like object with two RAM regions proposed in the workshop ISAE EM 2016.

Highlights

  • It has become common to solve scattering electromagnetic problems in harmonic regime with the so-called Boundary Element Method (BEM)

  • On the one hand, we describe the application of the Sparse Cardinal Sine Decomposition (SCSD) to the simulation of electromagnetic scattering problem using the BEM and more precisely the coupling of the method with the discretization of dielectric regions using the more classical finite element method

  • The problem that we have in mind is the electromagnetic scattering in the three dimensional space R3 of an object which is partly a perfect electric conductor (PEC) and partly composed of a dielectric material

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Summary

Introduction

It has become common to solve scattering electromagnetic problems in harmonic regime with the so-called Boundary Element Method (BEM). It permits, with quite a good precision, to represent the electromagnetic field in the unbounded region around the scattering object with a discretization only realized at the surface of the scattering object. On the one hand, we describe the application of the SCSD to the simulation of electromagnetic scattering problem using the BEM and more precisely the coupling of the method with the discretization of dielectric regions using the more classical finite element method.

Problem formulation
Harmonic Maxwell equations Maxwell equations in the harmonic regime read
Integral Representation Theorem and Integral Equations
Boundary formulation at the surface of the object
Volumic formulation in the dielectric domain
Coupling
Discretization and solving strategy
Sparse Cardinal Sine Decomposition
Numerical results
Validation
ISAE workshop test case
Full Text
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