A review of absorbing boundary conditions for two and three-dimensional electromagnetic scattering problems

Author

Mittra, R. ; Ramahi, O. ; Khebir, A. ; Gordon, R. ; Kouki, A.

Author_Institution

Electromagn. Commun. Lab., Illinois Univ., Urbana, IL, USA

Volume

25

Issue

4

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

3034

Lastpage

3039

Abstract

The derivation of two- and three-dimensional absorbing boundary conditions (ABCs) for mesh truncation in the partial differential equation solution of electromagnetic scattering problems is briefly reviewed. The approximate 2-D ABC is compared with its exact counterpart and ways are suggested by which the ABCs can be improved. A direct application of the Wilcox expansion to the mesh truncation problem that bypasses the ABC altogether is discussed. The question of using a conformal (as opposed to cylindrical) outer boundary is addressed, and the ABC for this geometry is derived for 2-D scattering and guided wave problems

Keywords

electromagnetic wave scattering; partial differential equations; Wilcox expansion; absorbing boundary conditions; guided wave problems; mesh truncation; partial differential equation; three-dimensional electromagnetic scattering problems; two-dimensional EM scattering; Attenuation; Boundary conditions; Differential equations; Electromagnetic scattering; Wave functions; Waveguide components;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.34361

Filename

34361