High-frequency radiation pattern of slot antenna on a general paraboloid of revolution

A computational procedure for the uniform theory of diffraction (UTD) radiation pattern of a slot antenna on general paraboloid of revolution (GPOR) is presented in this paper. The GPOR radiation pattern problem remained intractable due to its unequal double-curvatured nature. The complexity in performing surface-ray tracing on GPOR is circumvented by employing the geodesic constant method (GCM) which yields closed form expressions for all the ray-geometric parameters required in the UTD formulation. In order to obtain shedding points, a univariate search is implemented by utilizing surface-ray properties thereby making this problem computationally tractable. The computational results are validated against a comparable canonical structure.