Wavelet Matrix Transform Approach for Electromagnetic Scattering from an Array of Metal Strips (Special Issue on Microwave and Millimeter Wave Technology)

概要

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The wavelet matrix transform approach, in combination with the method of moments (MoM), is applied to solve the electromagnetic scattering problem of an array of metal strips. The problem is first discretized by the conventional MoM to obtain a dense impedance matrix, then the wavelet matrix transform is applied to produce a sparse matrix. This approach avoids a great number of integral computations existing in the wavelet basis expansion method and provides fast approach to solution for the scattering problem. Daubechies' wavelet is chosen as the mother wavelet to construct a sparse wavelet matrix so that the matrix-matrix multiplications occurring in the transform cost only O(N^2) with N unknowns. Numerical tests show that the computation cost necessary for solving the resultant sparse matrix is only O(N log N). An appropriate choice of the number of vanishing moments of wavelets is suggested from consideration of total computation cost and accuracy of solutions.
社団法人電子情報通信学会の論文
1999-07-25