Efficient wavelet-based modelling of printed circuit antenna arrays

The authors present a wavelet-based formulation of the method of moments for the full-wave analysis of printed circuit antennas and arrays. The rooftop multiresolution basis is introduced for the expansion of planar currents. These basis functions satisfy the boundary and edge conditions in an exact manner. It is shown that wavelet-dominated expansion bases generate highly sparse moment matrices. The resulting sparse linear systems are solved numerically using very efficient computational tools. The fast wavelet transform is exploited for the numerical integration of the Green´s function to speed up the filling of the matrix. Extensive results are presented for a microstrip patch antenna and finite size arrays of such antennas. Special emphasis is placed on the solution of large-scale problems, which could not otherwise be treated by conventional moment method implementations