Title :
Weighted wavelet expansion in the method of moments
Author :
Toupikov, Mikhail ; Pan, Guang-Wen ; Gilbert, Barry K.
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
A new set of compactly supported wavelets has been employed. These wavelets are biorthogonal with respect to a weighted inner product and are used as basis functions in the method of moments for scattering problems. An electric field integral equation (EFIE) is considered as a sample problem. The matrix obtained by the proposed wavelet expansion is rendered sparsely populated
Keywords :
electromagnetic wave scattering; integral equations; method of moments; sparse matrices; wavelet transforms; basis functions; biorthogonal wavelets; electric field integral equation; method of moments; scattering problems; sparse matrix; weighted inner product; weighted wavelet expansion; Convergence; Electromagnetic coupling; Electromagnetic scattering; Fourier transforms; Integral equations; Moment methods; Multiresolution analysis; Wavelet analysis; Wavelet domain; Wavelet transforms;
Journal_Title :
Magnetics, IEEE Transactions on
