A Boundary Difference Method for Electromagnetic Scattering Problems With Perfect Conductors and Corners

Author

Alkhateeb, Osama ; Tsukerman, Igor

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH, USA

Volume

61

Issue

10

fYear

2013

Firstpage

5117

Lastpage

5126

Abstract

Boundary integral equations (BIE) are widely used in applied electromagnetics, with the boundary element method (BEM) typically employed for numerical solution. The paper extends the recently proposed boundary difference method (BDM)-an alternative to BEM-to electromagnetic scattering problems with perfect conductors and with corners. BDM shares several key features and advantages of BEM but avoids the singular kernels inherent in BIE. Convergence rates of the method established via numerical experiments are in agreement with the theoretical predictions.

Keywords

boundary integral equations; boundary-elements methods; computational electromagnetics; conductors (electric); convergence of numerical methods; electromagnetic wave scattering; BDM; BEM; BIE; boundary difference method; boundary element method; boundary integral equation; convergence rate; electromagnetic scattering problem; perfect conductor; Boundary conditions; Equations; Fires; Green´s function methods; Lattices; Mathematical model; Method of moments; Boundary difference equations; Green functions; boundary element methods; boundary integral equations; difference equations; diffraction; discrete transforms; flexible local approximation; scattering;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2013.2275152

Filename

6570773