Wavelet Matrix Transform Approach for Electromagnetic Scattering by a Dielectric Cylinder

Abstract

The wavelet matrix transform approach, in combination with the conventional method of moments, is applied to solve the electromagnetic scattering problem by a dielectric cylinder. First, the problem is formulated by the integral equation for the field of a harmonic source in the presence of the cylinder. Then the equation is discretized to obtain a dense matrix equation by dividing the cylinder into square cells which are small enough so that the field intensity is nearly uniform in each cell. Finally, the wavelet matrix transform is applied to produce a sparse matrix equation which is treated effectively by a sparse linear system solver.