Abstract
Embedding formulas are powerful tools that enable one to reduce the dimension of the space of variables for a diffraction problem. Let a scatterer be finite, planar, and perfectly conducting. The idea of the method is to replace the initial problem of diffraction of a plane wave by construction of an edge Green’s function, i.e., to solve a problem with a source located near the edge of a scatterer. An embedding formula is an integral relation connecting the solution of the initial plane wave incidence problem with the edge Green’s function. Earlier, embedding formulas have been derived for acoustic and elasticity problems. Here we derive an embedding formula for an electromagnetic problem. Bibliography: 11 titles.
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