Estimating an Error of the Excitation-Field Model in the Form of a Delta Function in the Theory of Dipole Antennas

Abstract

We compare the values of the input impedance of a linear dipole antenna, which are obtained on the basis of solving integral equations by the exact and approximate methods. The expansions in terms of the weighted Chebyshev polynomials and trigonometric functions are used for solving the equations with exact kernels. The results obtained by our own methods are compared with those obtained using the well-known MMANA code, which is based on solving the integral equation with the approximate kernel and the delta-function model. The dependences of the input impedance on the primary-field distribution are studied theoretically and numerically. The errors resulting from replacing the exact kernel with an approximate one are determined.