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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 203, Pages 17–20
(Mi znsl5769)
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This article is cited in 1 scientific paper (total in 1 paper)
The construction of Gaussian beams satisfying to the wave equation with exponential exactness
V. M. Babich
Abstract:
A function $V$ having Gaussian beam asymptotic (the frequency $\omega\to+\infty$) is obtained. The expression $(\Delta+\frac{\omega^2}{c^2(x)})V$ is exponentialy small in the the neighbourhood of axial ray of Gaussian beam. The velocity $c(x)$ is analitical.
Citation:
V. M. Babich, “The construction of Gaussian beams satisfying to the wave equation with exponential exactness”, Mathematical problems in the theory of wave propagation. Part 22, Zap. Nauchn. Sem. POMI, 203, Nauka, St. Petersburg, 1992, 17–20; J. Math. Sci., 79:4 (1996), 1169–1171
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https://www.mathnet.ru/eng/znsl5769 https://www.mathnet.ru/eng/znsl/v203/p17
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Abstract page: | 137 | Full-text PDF : | 37 |
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