2 Ieee Transactions on Antennas and Propagation

| In this paper we present a novel approach for the incorporation of wavelets into the solution of frequency-domain integral equations arising in scattering problems. In this approach, we utilize the fact that when the basis functions used are wavelet-type functions, only a few terms in a series expansion would be needed to represent the unknown quantity. Moreover, an iterative procedure is suggested to determine these dominant expansion functions. The new approach combined with the iterative procedure yields a new algorithm which has many advantages over the presently used methods for incorporating wavelets. Numerical results which illustrate the approach are presented for three scattering problems.