An RGF Delta-Gap Source for Thin-Wire EFIE

Abstract

The derivation of a novel delta source based on a reduced Green's function (RGF) is presented for thin-wire scattering problems. The impressed electric field, typically represented by a delta source, is generated by a current defined at the source location. By using electrically small assumptions at the source location, the electric field integral equations (EFIEs) representing the impressed field created by the defined current can be evaluated analytically with an RGF. This impressed field is denoted here as the RGF delta source, or simply, the RGF source. The RGF source is in the range of the EFIE operator and does not contain the dipole that is present in the traditional delta source. The numerical results show the improved convergence of the new RGF source while maintaining accuracy comparable to that of existing delta source models used in other thin-wire models, such as the numerical electromagnetics code.