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Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. (English. Russian original) Zbl 0933.78005

J. Math. Sci., New York 86, No. 3, 2705-2720 (1997); translation from Zap. Nauchn. Semin. POMI 218, 72-95 (1994).
Summary: The diffraction of a plane electromagnetic wave obliquely incident upon the edge of a coated wedge is considered. The generalized impedance boundary conditions (GIBC’s) on the wedge’s faces are used to simulate the effect of the coatings. To insure the well-posedness of the problem, special contact conditions (CC’s) on the edge are additionally imposed. By using Sommerfeld integrals, the problem is reduced to a system of coupled functional equations, which is solved by the perturbation method. It is shown that, for a certain range of the angles of oblique incidence, the solution can be represented in the form of convergent series that are Neumann series for linear equations with contracting operators. Nonuniform asymptotics of the wave field for regions outside a neighborhood of the edge of the wedge are constructed.

MSC:

78A45 Diffraction, scattering
39B05 General theory of functional equations and inequalities

Citations:

Zbl 0924.00023
Full Text: DOI

References:

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