A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects

A new wavelet approach is presented for treating the two-dimensional electromagnetic scattering problems over curved computation domains. The wavelet expansion method, in combination with the boundary element method (BEM), is applied to solve the integral equation for the unknown surface current. The unknown surface current is expanded in terms of a basis derived from a periodic, orthogonal wavelet in interval [0, 1]. The geometrical representation of the BEM is employed to establish the map between the curved computation domain and the interval [0, 1]. This technique exhibits the advantages of both the wavelet expansion method and the boundary element method: sparse matrix system and accurately modeling of curved surfaces. Comparisons of the results from the new technique with the moment method solutions, the analytical solutions or the data in previous publications are provided. Good agreements are observed