A UTD-OM technique to design slot arrays on a perfectly conducting paraboloid

A procedure that can be employed to design slot arrays on smooth convex conducting surfaces is presented. The uniform theory of diffraction (UTD) for the analysis and the orthogonal method (OM) for the synthesis have been used. Detailed description of the method is given and it is accompanied by a design study of a slot array on a perfectly conducting paraboloid. UTD has been applied after a proper re-construction and re-evaluation of the diffraction integral. Thus, a method for treatment of caustics formed on convex surfaces comes out as a by-product of our study. Coupling phenomena between two slots on convex surfaces are also addressed.