On Using Orthogonal Polynomials for Transient Analysis of Wire Antennas

In this paper two kinds of orthogonal polynomials - weighted Laguerre and Hermite polynomials - are used as temporal basis functions for the approximation of the transient responses of wire structures. Numerical schemes with these polynomials are derived and their properties are compared on an analysis of straight wires of different lengths. The comparisons and investigations show that the scheme with Hermite polynomials requires the lower number of temporal basis functions for short responses than the scheme with Laguerre polynomials, and vice versa.