Near-field to far-field transforms using PDE based methods

Author

Otto, A.J. ; Marais, N. ; Davidson, D.B.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Stellenbosch, Stellenbosch, South Africa

fYear

2012

Firstpage

498

Lastpage

501

Abstract

When approximating an electromagnetic scattering problem using a volume based finite element, finite difference or finite volume scheme, the far-field pattern is often calculated using a near-field to far-field transform. The focus of this paper is the implementation of both a surface integral and variational method in a locally developed FEniCS environment called SUCEM:FEM. The results obtained by these methods are then compared to an analytical far-field expression for an infinitesimal dipole.

Keywords

approximation theory; electromagnetic wave scattering; finite difference methods; finite volume methods; integral equations; partial differential equations; transforms; PDE based methods; analytical far-field expression; electromagnetic scattering problem approximation; far-field pattern; far-field transforms; finite difference scheme; finite volume scheme; infinitesimal dipole; near-field transforms; surface integral method; variational method; volume based finite element scheme; Educational institutions; Equations; Finite element methods; Magnetic fields; Mathematical model; Scattering; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications (ICEAA), 2012 International Conference on

Conference_Location

Cape Town

Print_ISBN

978-1-4673-0333-0

Type

conf

DOI

10.1109/ICEAA.2012.6328678

Filename

6328678