Title :
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
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;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2012 International Conference on
Conference_Location :
Cape Town
Print_ISBN :
978-1-4673-0333-0
DOI :
10.1109/ICEAA.2012.6328678
