Complex multipole beam approach electromagnetic scattering problems

The conventional approach to formulating the problems of electromagnetic scattering problems using the method of moments (MoM) is to employ subdomain basis functions to represent the surface currents on the body. Canning has shown that, for smooth scatterers, the use of Gabor type of basis functions, can introduce the desired impedance matrix localization (IML) features in the matrix equation. Two alternate approaches, also proposed recently, are the Multiple Multipolr (MMP) and the Current model methods, both of which exhibit the potential for substantial saving in terms of the number of unknowns relative to the MoM. The objective of this paper is to introduce a new approach which attempts to combine the advantages of both the IML and the MMP methods.