Analysis of a wire antenna by solving pocklinton's integral equation using wavelets

Abstract

Solving Pocklington's integral equation for the thin and straight wire antennas by moment method, the current distributions of a half-wave and a full- wave dipole have been deduced using semi-orthogonal wavelet bases that are constructed from the second-order cardinal B-spline. The results agree well with those obtained by King's Three-term Approximation and with the measured values of Mack. The current distributions have been calculated in different scale and with respect to the computing time, the most efficient scale for analysis has been determined. The method is then extended for antenna array analysis. Current distributions on each antenna of a three-element Yagi-Uda array have been derived and compared with those based on King's Three-term Approximation. With the corresponding current distribution, the input impedance and radiation pattern ofthin and straight wire antennas and the properties of a three-element Yagi-Uda array have been calculated, compared with theoretical results and found physically significant.