Electromagnetic scattering by perfectly conducting open surfaces

The behavior of simple layer potentials and their spatial derivatives near the edge of an open surface is analyzed. Conditions are determined on the surface geometry and on the density distributions for which the potentials have locally finite energy. These results are applied to the formulation problems of electromagnetic scattering from open surface as integral equations. It is shown that for certain classes of open surfaces and current densities, the boundary value problem is equivalent to a problem in integral equations of the first kind which can have at most one solution.