Wavelet-like basis functions for solving scattering integral equations

In order to numerically compute the field scattered by an arbitrary shaped object using the method of moments (MOM), one must solve a full matrix equation. The properties of wavelet-like basis functions enable one to make this matrix sparse, and therefore to solve the equation faster, using an efficient method to store and apply the obtained sparse matrix. Since the sparsity is a parameter that can be set, the authors try to determine its influence on the computation time and on the accuracy of the final solution for the induced current density and the scattered field. They use the wavelet-like bases of Alpert et al. (1993).<>