AN EFFECTIVE WAVELET MATRIX TRANSFORM APPROACH FOR EFFICIENT SOLUTIONS OF ELECTROMAGNETIC INTEGRAL-EQUATIONS

An effective numerical method based on wavelet matrix transforms for e fficient solution of electromagnetic (EM) integral equations is propos ed. Using the wavelet matrix transform produces highly sparse moment m atrices which can be solved efficiently. A fast construction method fo r various orthonormal or nonorthonormal wavelet basis matrices is also given. It has been found that using nonsimilarity wavelet matrix tran sforms such as nonsimilarity nonorthonormal cardinal spline wavelet (N SNCSW) transform, one can obtain a much higher compression rate and mu ch better accuracy of the approximate solutions than using similarity wavelet transforms such as Daubechies' orthonormal wavelet (DOW) trans form. Numerical examples are given to show the validity and effectiven ess of the method.