Implementation of the Jacobi-Bessel series method for radiation-pattern equations of an offset parabolic reflector Antenna using MathCAD®

The Physical Optics radiation integral expressed is implemented in terms of a summation of Fourier transforms in MathCAD. The Jacobi-Bessel series has been used to evaluate the Fourier transforms. The mathematical formulation given provides a fast and accurate approach for the prediction of the far-field radiation pattern of offset-reflector antennas. The accurate and rapid numerical evaluation of the expressions obtained is demonstrated through the design of a multi-feed offset reflector. Furthermore, the formulation can be slightly modified and implemented in MathCAD for axially symmetric reflectors and other types of aperture antennas, as well.