Wavelet matrix transform approach for electromagnetic scattering by a dielectric cylinder

The wavelet matrix transform approach, in combination with the conventional method of moments, is used to solve the problem of electromagnetic scattering by a dielectric cylinder. First, the problem is formulated in terms of 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 system of linear equations 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 system of linear equations which is treated effectively by a sparse linear system solver. © 2001 Scripta Technica, Electr Eng Jpn.