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 e lectromagnetic scattering problems over curved computation domains. Th e wavelet expansion method, in combination with the boundary element m ethod (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 th e map between the curved computation domain and the interval [0, 1]. T his technique exhibits the advantages of both the wavelet expansion me thod and the boundary element method: sparse matrix system and accurat ely modeling of curved surfaces. Comparisons of the results from the n ew technique with the moment method solutions, the analytical solution s or the data in previous publications are provided. Good agreements a re observed.