On the use of wavelet expansions in the method of moments (EM scattering)

An Effective Hybrid Method for Electro- Magnetic Scattering from Inhomogeneous Objects

“…Applying the constructed wavelet matrixŨ to transform (16), one can obtain a completely sparse matrix equation as follows:…”

“…Their applications in electromagnetics are getting increasing attention [16][17][18]. More recently, the wavelet transform has been extended in the form of wavelet matrix transform for effective solutions of electromagnetic problems by Wagner and Chew [19] and the authors [20].…”

Scattering from Perfectly Conducting Strips by Utilizing an Adaptive Multiscale Moment Method

“…[26] introduced wavelet-like basis function in solving second-kind integral equation. The wavelet basis or the wavelet-like basis have been chosen as basis functions in the MM of the integral equations of electromagnetic fields [see references [27][28][29][30][31]. Goswami et al [32] proposed the use of compactly supported semi-orthogonal spline wavelets constructed for analyzing the two-dimensional electromagnetic scattering problems of metallic cylinders.…”

Adaptive Multiscale Moment Method for Solving Two-Dimensional Fredholm Integral Equation of the First Kind

“…Recently, the wavelet basis function [6] or wavelet-like basis function [7] has been proposed to solve the numerical solutions of Fredholm equations and differential equation in one dimension. Steinberg et al [8] used the wavelet expansions for the unknown current (function) in the moment method, which is expressed as a twofold summation of shifted and dilated forms of properly chosen basis function. Goswami et al [9] used wavelets on a bounded interval to solve the first-kind integral equations in electromagnetic scattering problems.…”