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A fast wavelet-based moment method for solving thin-wire EFIE

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4 Author(s)
Geranmayeh, A. ; Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran ; Moini, R. ; Sadeghi, S.H.H. ; Deihimi, A.

Solving the thin-wire electric field integral equation (EFIE) by the multiresolution wavelet expansion method involves a time-consuming double numerical integration for each nonzero element of the moment matrix which in turn can outweigh the advantages of achieving a sparse matrix. To speed up the matrix fill process in wavelet-based moment method codes, first, the triangular scaling functions of a nonorthogonal piecewise liner wavelet at the finest spatial resolution are appropriately replaced by sinusoidal dipoles for which mutual impedances are available in closed-form analytical expressions. The fast wavelet bases transform is then exploited to effectively transfer the resultant matrix equation to multiresolution wavelet domain. Numerical results obtained by the compactly supported semi-orthogonal linear B-spline wavelet demonstrate dramatic reduction of the overall solution time without any degradation in the accuracy of the final solution

Published in:

Magnetics, IEEE Transactions on  (Volume:42 ,  Issue: 4 )