Embedding formula for an electromagnetic diffraction problem

Embedding formulae is a powerful tool enabling one to reduce the dimension of the space of variables for a diffraction problem. Let the scatterer be finite, planar and perfectly conducting. The idea of the method is to substitute the initial problem of diffraction of a plane wave by finding an edge Green's function, i.e., to solve a problem with a sourve located near the edge of a scatterer. Embedding formula is an integral relation connecting the solution of the initial plane wave incidence problem with the edge Green's function. Earlier, the embedding formulae have been derived for acoustic and elasticity problems. Here we derive en embedding formula for an electromagnetic problem.