A new integration algorithm and its application to the analysis of symmetrical Cassegrain microwave antennas
Abstract
An efficient numerical algorithm for physical optics (PO) analysis of reflectors is presented. Cylindrical symmetry of the reflector is not essential but is assumed for purposes of illustration, and this leads to the use of Fourier representation in the azimuthal variable. The algorithm is based on quadratic approximation of the phase and polynomial approximation of the remaining portion of the integrand. The necessary integrals are generated recursively and they involve the Fresnel integral. Additional efficiency is achieved by means of an interpolation scheme. Therein one interpolates all but the rapidly varying edge diffraction contribution to the integral and then adds the explicitly calculated edge contribution at each farfield point. A few illustrative examples are included.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 September 1983
 DOI:
 10.1109/TAP.1983.1143123
 Bibcode:
 1983ITAP...31..748P
 Keywords:

 Antenna Design;
 Cassegrain Antennas;
 Computer Aided Design;
 Microwave Antennas;
 Numerical Integration;
 Subreflectors;
 Algorithms;
 Design Analysis;
 Fresnel Integrals;
 Interpolation;
 Physical Optics;
 Recursive Functions;
 Run Time (Computers);
 Communications and Radar