Wavelet matrix transform approach for the solution of electromagnetic integral equations

We analyze the electromagnetic scattering from an array of metal strips by using the wavelet matrix transform approach. Daubechies´ (1988) wavelet bases are chosen to construct sparse wavelet matrices so that matrix-matrix multiplications necessary for the wavelet matrix transform cost only O(N/sup 2/). Resulting sparse matrix equations are treated effectively by a sparse linear system solver by which the cost of solving matrix equations is the order of O(NlogN). Finally, appropriate choice of the number of vanishing moments to obtain fast and accurate solution are studied through numerical experiments.