Selfconsistent GTD formulation for conducting cylinders with arbitrary convex cross section
Abstract
A useroriented computer program has been developed for high frequency radiation and scattering from infinitelylong perfectlyconducting convex cylinders. The analysis is based on the selfconsistent geometrical theory of diffraction (GTD). The cylinder is modeled as an Nsided polygon. Two cylindrical waves with unknown amplitudes are assumed to travel in opposite directions on each face of the polygon. The boundary conditions for the corners are applied to set up a matrix equation for 2N unknowns (the amplitudes associated with the traveling cylindrical waves). Crout's method is used to solve the matrix equation. Once the amplitudes for the traveling waves are determined, the radiation or scattered field is readily obtained via the usual GTD techniques. Numerical results are presented for radiation and scattering from rectangular, semicircular, circular, and elliptic cylinders for both principal polarizations. The results show excellent agreement with GTD, moment, and eigenfunction solutions.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 July 1976
 DOI:
 10.1109/TAP.1976.1141375
 Bibcode:
 1976ITAP...24..463W
 Keywords:

 Computer Programs;
 Cylindrical Bodies;
 Cylindrical Waves;
 Electromagnetic Scattering;
 Self Consistent Fields;
 Wave Diffraction;
 Convexity;
 Eigenvectors;
 Electric Conductors;
 Elliptical Cylinders;
 Mathematical Models;
 Polygons;
 S Matrix Theory;
 Traveling Waves;
 Communications and Radar