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Some Properties of Green's Functions of Waves At Boundaries

Some properties of Green's functions of waves at boundaries are presented in this paper. Of particular interest is their behaviour like Dirac delta distributions whose domain is the manifold of the boundary under consideration. We have obtained relations involving dyadic Green's functions for electromagnetic wave scattering problems with PEC, PMC and penetrable boundaries. Both isotropic and anisotropic homogeneous media are considered. Situations with multiple bodies with disjoint smooth boundaries are also part of our study. Some similar results for acoustic waves are given without proofs.