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Scattering of a plane wave by mirror antennas with vibrating radiators is considered. The Fourier coefficients of the vector function equal to the current density on the mirror metal and the tangent component of the electrical vector on the geometric surface, complementing the surface of the mirror to close in some complete function system....

The problem of diffraction of electromagnetic waves on a curvilinear surfaces with piecewise continuous admittance (impedance) boundary conditions, particularly on open-ended metallic surfaces is considered. It is shown that the coefficients of Fourier kind for some complete function system and the corresponding series for the function equal to the tangent component of the electric vector on the part of the surface where the admittance is finite and the surface electric current on the part where ...

... as on bodies with impedance, heterogeneous and anisotropic boundary conditions. The auxiliary sources on some surfaces, situated inside these bodies are introduced; in particular, the surfaces can be spanned into points. Using the Lorenz lemma, the Fourier coefficients for the density of real or equivalent current on the surface of the bodies are determined and then the currents themselves and the dispersed fields generated by them are found. The example of calculations is given. Radio engineering ...

... electromagnetic waves is often connected with the search of analytic solutions to the boundary value problems of mathematical physics. From this viewpoint, the use of variable division method is one of possible ways of this search. The well-studied classic Fourier method allows division of variables in partial differential equations as applied to the boundary conditions of the simplest kind. The triangular border of the directing structure studied in this article cannot be handled by the variable division ...

... physical processes often involves search for analytic solutions to the boundary value problems of mathematical physics. From this viewpoint, the use of the variable separation method is one of possible ways of this search. The well-studied classical Fourier method allows obtaining analytic solutions to partial differential equations satisfying a limited number of kinds of boundary conditions. The internal boundary value problems for a rectangular domain, which cannot be solved by variable separation ...