Fock theory--An appraisal and exposition

We present an exposition and certain generalizations of recent work on a class of problems in classical electromagnetic theory. Briefly, we indicate the approach as the Fock theory which is a method of obtaining the field induced by an incident electromagnetic wave on, or near, the surface of a good conductor. The surface is restricted to be smooth, convex, and of characteristic dimensions which are "large" with respect to the wavelength of the incident radiation.