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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 110–120
(Mi znsl365)
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This article is cited in 2 scientific papers (total in 2 papers)
Combined method calculating the field generated by a point source in a surface wave guide
N. Ya. Kirpichnikovaa, V. B. Philippova, S. Yu. Fadeevab a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Abstract:
The two-dimensional problem of propagation of waves, raised by a point source, in an interior layer wave guide is investigated. The Dirichlet condition is given on the bound of the wave guide. With help of cumbersome transformation the solution is represented as a sum of the geometro-optical waves, the normal waves and the residual. The sufficient conditions for the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.
Received: 18.07.2005
Citation:
N. Ya. Kirpichnikova, V. B. Philippov, S. Yu. Fadeeva, “Combined method calculating the field generated by a point source in a surface wave guide”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 110–120; J. Math. Sci. (N. Y.), 138:2 (2006), 5543–5548
Linking options:
https://www.mathnet.ru/eng/znsl365 https://www.mathnet.ru/eng/znsl/v324/p110
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Abstract page: | 207 | Full-text PDF : | 65 | References: | 43 |
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