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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 97–108
(Mi znsl645)
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Plane wave diffraction by a step discontinuity in an impedamce plane
V. V. Zalipaev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
In this paper a high-frequency diffraction of a plane wave by 90-degree step discontinuity in an impedance plane boundary is analysed with the help of uniform geometrical theory of diffraction starting from the Molugenets' solution.
The principal term of asymptotic solution to the problem which is uniform with respect to the angle of the plane wave incidence and angle of observation is derived. The excitation of primary and multiply diffracted fields radiated from the upper edge as well as surface waves is considered (the lower edge doesn't radiate any cylindrical or surface waves owing to the 90-degree step). For simplicity the analytical details are given here for
the 90-degree step discontinuity. A similar procedure is followed on the other examples with a more complex geometry.
Received: 29.11.1997
Citation:
V. V. Zalipaev, “Plane wave diffraction by a step discontinuity in an impedamce plane”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 97–108; J. Math. Sci. (New York), 102:4 (2000), 4195–4202
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https://www.mathnet.ru/eng/znsl645 https://www.mathnet.ru/eng/znsl/v250/p97
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Abstract page: | 241 | Full-text PDF : | 91 |
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