A UTD analysis of the radiation and mutual coupling associated with antennas on a smooth perfectly conducting arbitrary convex surface with a uniform material coating

The present UTD solution provides a relatively simple yet accurate solution which is ideally suited analyzing conformal antenna and antenna array problems whose electrical size or shape preclude them from being solved by the standard numerical techniques. This solution which is valid for perfectly conducting convex surfaces with a material coating is valid uniformly within shadow boundary transition regions and is expressed in terms of a more general class of Fock (1965) functions that may be readily computed via a fast and efficient numerical procedure. In addition, this solution also explicitly shows the effect of surface ray torsion on the radiated fields in the shadow and transition regions.