An analysis of the radiation from apertures in curved surfaces by the geometrical theory of diffraction
Abstract
In this paper the geometrical theory of diffraction is extended to treat the radiation from apertures of slots in convex perfectly conducting surfaces. It is assumed that the tangential electric field in the aperture is known so that an equivalent infinitesimal source can be defined at each point in the aperture. Surface rays emanate from this source which is a caustic of the ray system. A launching coefficient is introduced to describe the excitation of the surface ray modes. If the field radiated from the surface is desired, the ordinary diffraction coefficients are used to determine the field of the rays shed tangentially from the surface rays. The field of the surface ray modes is not the field on the surface; hence if the mutual coupling between slots is of interest, a second coefficient related to the launching coefficient must be employed. In the region adjacent to the shadow boundary, the component of the field directly radiated from the source is represented by Focktype functions. In the illuminated region the incident radiation from the source (this does not include the diffracted field components) is treated by geometrical optics. This extension of the geometrical theory of diffraction is applied to calculate the radiation from slots on elliptic cylinders, spheres, and spheroids.
 Publication:

IEEE Proceedings
 Pub Date:
 November 1974
 Bibcode:
 1974IEEEP..62.1438P
 Keywords:

 Apertures;
 Curvature;
 Diffraction Propagation;
 Electromagnetic Radiation;
 Ray Tracing;
 Surface Geometry;
 Wave Diffraction;
 Cross Coupling;
 Electric Fields;
 Electromagnetic Scattering;
 Propagation Modes;
 Slots;
 Wave Attenuation;
 Communications and Radar