The on-surface radiation condition applied to three-dimensional convex objects

A numerical method is described for obtaining solutions for electromagnetic scattering from convex three-dimensional objects by invoking the on-surface radiation condition (OSRC). The set of objects for which the numerical method can be employed are those that are describable as bodies of revolution and have surfaces that are perfect electrical conductors. The numerical method is sufficiently general to allow arbitrary angles of incident radiation. In the development of the numerical method the three-dimensional form of OSRC was transformed from a coupled vector partial differential equation to an ordinary differential equation to ease computation. Issues of numerical tractability and boundary conditions also had to be addressed. Comparisons of the numerical solutions of OSRC with accepted scattering results are provided. The objects used in these comparisons are spheres, spheroids, disks, wires, and conespheres