An Analysis of the Various Methods Used to Analyze Radiation from the Thin Wire E-Field Integral Equation

摘要

In this paper we analyze the numerical aspects of the various methods that have been used to analyze thin wire antenna problems. First we derive some properties of the thin wire E-field integral operator. Based on those properties we unify the various iterative methods used to find current distribution on thin wire structures. An attempt has been made to resolve the question of numerical stability associated with various entire domain and subdomain expansion functions in Galerkin's method. It has been shown that the sequence of solutions generated by the iterative methods monotonically approaches the exact solution provided the excitation chosen for these problems are in the range of E-field operator. Such a statement does not hold for Galerkin's method since the inverse operator is unbounded. Moreover if the excitation function is not in the range of the operator the sequence of solutions form an asymptotic series. Examples have been presented to illustrate this point. (Author)