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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 44–55
(Mi znsl984)
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This article is cited in 8 scientific papers (total in 8 papers)
On calculation of some integrals, describing the wave fields
V. V. Kamotskii Saint-Petersburg State University
Abstract:
Two methods of calculation of scattering amplitude $f(\omega,\omega_0)$ of the wave scattered by the vertex of an arbitrarily shaped cone are justified. It is shown that the approximation $f_d(\omega,\omega_0,t)$, obtained by the method similar to Abel–Poisson's method of summation, converges uniformly in the domain of regularity of $f$. Also the possibility of calculation of $f(\omega,\omega_0)$ when $\omega\in N_1(\omega_0)$ by means of rapidly converging integrals is proved.
Received: 24.08.1998
Citation:
V. V. Kamotskii, “On calculation of some integrals, describing the wave fields”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 44–55; J. Math. Sci. (New York), 108:5 (2002), 665–673
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https://www.mathnet.ru/eng/znsl984 https://www.mathnet.ru/eng/znsl/v257/p44
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Abstract page: | 142 | Full-text PDF : | 57 |
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