DocumentCode :
1230314
Title :
A constrained conjugate gradient method for solving the magnetic field boundary integral equation
Author :
Van Den Berg, Peter M. ; Korkmaz, Erdal ; Abubakar, Aria
Author_Institution :
Lab. of Electromagn. Res., Delft Univ. of Technol., Netherlands
Volume :
51
Issue :
6
fYear :
2003
fDate :
6/1/2003 12:00:00 AM
Firstpage :
1168
Lastpage :
1176
Abstract :
It is well-known that electromagnetic solutions of boundary integral equations for perfectly electrically conducting scatterers are nonunique for those frequencies which correspond to interior resonances of the scatterer. In this paper a simple and efficient computational method is developed, in which the interior integral representations, required to hold on an interior closed surface, are used as a sufficient constraint to restore uniqueness. We use the interior equations together with the second kind magnetic field integral equation, so that the ill-posedness of the interior equations does not give a problem. We develop a constrained conjugate gradient method that minimizes a cost functional consisting of two terms. The first term is the error norm with respect to the magnetic field boundary integral equation, while the second term is the error norm with respect to the interior equations over a closed interior surface, which is chosen as small as possible. Some numerical examples show the robustness and efficiency of the pertaining computational procedure.
Keywords :
boundary integral equations; conducting bodies; conjugate gradient methods; electromagnetic wave scattering; functional equations; magnetic field integral equations; minimisation; resonance; closed interior surface; constrained conjugate gradient method; cost functional minimization; error norm; interior integral representations; interior resonances; magnetic field boundary integral equation; perfectly electrically conducting scatterers; second kind magnetic field integral equation; uniqueness; Electromagnetic scattering; Frequency; Gradient methods; Integral equations; Iterative methods; Laboratories; Magnetic fields; Magnetic resonance; Physics; Surface waves;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.2003.812275
Filename :
1208733
Link To Document :
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