Atomic functions and wavelet matrix transform approach for efficient solution of electromagnetic integral equations in the boundary value problems of millimeter wave diffraction

摘要

Using Atomic Functions (AF) and wavelet matrix transform produces highly sparse matrices, which can be solved efficiently. It has been found that using wavelet matrix transform, based on atomic function, one can obtain higher compression rate and better accuracy of approximate solutions than using spline wavelet transform and Daubechies' orthonormal wavelet transform. A numerical example has been developed for the boundary value problems of millimeter wave diffraction on a perfectly conducting circular cylinder to show the validity and effectiveness of the method.