Scattering Analysis Using Fictitious Wavelets

Abstract

In this paper we study the incorporation of wavelet--transforms into the source-model technique (SMT) for efficient analysis of electromagnetic scattering problems. The discrete nature of the fictitious sources in the SMT allows the use of wavelet-transform methods in which the transformation is effected in a rapid way by means of digital filters. The source functions obtained upon integrating the wavelet transform methods into the SMT are referred to as fictitious wavelets. The transformed impedance-matrix obtained in this manner is then compressed and thus a substantially smaller matrix equation needs to be solved. The conventional as well as variants of the wavelet transform (e.g., windowedFourier -transform and adaptive-basis selection) are considered. The ease with which one can enhance the resolution in a given solution and the simple way by which small perturbations in the scatterer geometry can be treated are both demonstrated. A comparison with a conventional method of moments..