MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field

Abstract

Abstract-The concept of effective spatial bandwidth (EBW) is introduced for periodic domains. The EBW is applied to the incident and scattered fields along the boundary of an infinite circular cylinder. The scattered field is formulated using the method of auxiliary sources (MAS). In MAS, monopoles on an auxiliary surface (AS) are used to model the scattered field. It is shown that the EBW of the incident field can provide some insight regarding the placement of poles for the MAS scattered field model. Example simulations are provided to demonstrate the usefulness of EBW with respect to monopole placement rules in MAS.Index Terms-Boundary value problems, electromagnetic scattering.

Application of Spatial Bandwidth Concepts to MAS Pole Location for Dielectric Cylinders

“…By measuring the spatial bandwidth of the incident field on the surface of the scatterer, it is possible to develop insight toward suitable placement of poles in the MAS method. The results reported in [13] agree in principle with the conclusions drawn in [9]. This paper is an application of the tools and techniques developed in [13] for dielectric scatterers.…”

“…The results reported in [13] agree in principle with the conclusions drawn in [9]. This paper is an application of the tools and techniques developed in [13] for dielectric scatterers. For the dielectric case, the internal field is modeled as…”

“…If the incident field is a plane wave, then ρ ′ is chosen so that the EBW for the MAS poles is equal to or larger than the incident field EBW. These results are demonstrated in [13].…”

“…As described in [13], a tangential field quantity e(φ) along a closed contour can be bandlimited to integer spatial frequency N by performing the convolution…”

“…Recently, the concept of effective spatial bandwidth (EBW) was applied to the scattering from conducting circular cylinders to develop pole placement guidelines [13]. By measuring the spatial bandwidth of the incident field on the surface of the scatterer, it is possible to develop insight toward suitable placement of poles in the MAS method.…”