Contamination of the accuracy of the combined-field integral equation with the discretization error of the magnetic-field integral equation

Date
2009
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Source Title
IEEE Transactions on Antennas and Propagation
Print ISSN
0018-926X
Electronic ISSN
1558-2221
Publisher
Institute of Electrical and Electronics Engineers
Volume
57
Issue
9
Pages
2650 - 2657
Language
English
Type
Article
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Abstract

We investigate the accuracy of the combined-field integral equation (CFIE) discretized with the Rao-Wilton-Glisson (RWG) basis functions for the solution of scattering and radiation problems involving three-dimensional conducting objects. Such a low-order discretization with the RWG functions renders the two components of CFIE, i.e., the electric-field integral equation (EFIE) and the magnetic-field integral equation (MFIE), incompatible, mainly because of the excessive discretization error of MFIE. Solutions obtained with CFIE are contaminated with the MFIE inaccuracy, and CFIE is also incompatible with EFIE and MFIE. We show that, in an iterative solution, the minimization of the residual error for CFIE involves a breakpoint, where a further reduction of the residual error does not improve the solution in terms of compatibility with EFIE, which provides a more accurate reference solution. This breakpoint corresponds to the last useful iteration, where the accuracy of CFIE is saturated and a further reduction of the residual error is practically unnecessary.

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Keywords
Accuracy analysis, Combined-field integral equation (CFIE), Iterative methods, Surface integral equations
Citation
Published Version (Please cite this version)