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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 109–135
(Mi znsl646)
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This article is cited in 3 scientific papers (total in 3 papers)
Shortwave scattering by echelette diffraction grating
V. V. Zalipaev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The two-dimensional problem of a plane wave scattering by a periodic perfectly conducting grating – an echelette with a right angle is considered in the case of high-frequency approximation (the wave length is assumed to be small compared with the period of grating). The situation where the incident plane wave glides along one of the faces of a wedge is discussed. The ray optical solution to the problem (short-wave asymptotic result) is derived on the basis of the method of summation of multiple diffrated fields, which is well known in
the geometric theory of diffraction. The main result of the paper is simple formulas for the efficiency of diffraction order with maximum value derived in the short-wave approximation. Numerical results are presented and important optical properties resulted from asymptotic analysis are described.
Received: 11.11.1997
Citation:
V. V. Zalipaev, “Shortwave scattering by echelette diffraction grating”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 109–135; J. Math. Sci. (New York), 102:4 (2000), 4203–4219
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https://www.mathnet.ru/eng/znsl646 https://www.mathnet.ru/eng/znsl/v250/p109
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