Application of intervallic wavelets to the problem of EM scattering on multiple bodies

Intervallic wavelets were applied to the solutions of boundary integral equations for electromagnetic problems at low frequency. Very sparse impedance matrices were obtained with this method. In fact, the zero elements of the matrices are identified directly, without using a truncation scheme to force those elements with very small numerical values to become identically zero through the use of an artificially established threshold. Further, the majority of matrix elements are evaluated directly, without performing numerical integration procedures such as the Gaussian quadrature. This method yields enormous savings in computational effort compared to the prior methods, particularly for large matrices. Numerical examples were analyzed and results presented in this paper to demonstrate the effectiveness of the method. These results of the single sphere case agreed well with the moment method solutions.