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NOTE TO THE ARTICLE OF E.N. FEDOROV, V.A. PILIPENKO “ON THE APPLICABILITY OF THE GEOMETRICAL OPTICS APPROXIMATION WHEN CONSIDERING WAVE PROCESSES
IN GEOPHYSICS”
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Journal: Geophysical research
Tome: 24
Number: 4
Year: 2023
Pages: 97-100
UDK: 501
DOI: 10.21455/gr2023.4-6
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Aleshin I.M. NOTE TO THE ARTICLE OF E.N. FEDOROV, V.A. PILIPENKO “ON THE APPLICABILITY OF THE GEOMETRICAL OPTICS APPROXIMATION WHEN CONSIDERING WAVE PROCESSES
IN GEOPHYSICS”
// . 2023. Т. 24. № 4. С. 97-100. DOI: 10.21455/gr2023.4-6
@article{AleshinNOTE2023,
author = "Aleshin, I. M.",
title = "NOTE TO THE ARTICLE OF E.N. FEDOROV, V.A. PILIPENKO “ON THE APPLICABILITY OF THE GEOMETRICAL OPTICS APPROXIMATION WHEN CONSIDERING WAVE PROCESSES
IN GEOPHYSICS”
",
journal = "Geophysical research",
year = 2023,
volume = "24",
number = "4",
pages = "97-100",
doi = "10.21455/gr2023.4-6",
language = "English"
}
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Keywords: Wentzel–Kramers–Brillouin (WKB) method.
Аnnotation: A critical remark is given on the article “On the applicability of the geometrical optics approximation when considering wave processes in geophysics” published earlier in the journal “Geophysical Research” [Fedorov, Pilipenko, 2023], in which the authors claim that the range of applicability of the geometrical optics approximation is greater than it is “often assumed.” It is shown that in fact the authors are discussing a slightly different issue, since the smallness of the wavelength compared to the characteristic scale of the inhomogeneity, in principle, cannot be used as a limit of applicability of the method under discussion.
Bibliography: Moiseev N.N., Asimptoticheskie metody nelinejnoj mehaniki (Asymptotic methods of nonlinear mechanics), Moscow, Nauka, 1981, 400 p. [In Russian].
Fedorov E.N., Pilipenko V.A., On the Applicability of the Geometrical Optics Approximation when Considering Wave Processes in Geophysics, Geofizicheskie issledovanija (Geophysical Research), 2023, vol. 24, no. 1, pp. 85-92. [In Russian].
Fedorjuk M.V., Asimptoticheskie metody dlja linejnyh obyknovennyh differencial'nyh uravnenij (Asymptotic methods for linear ordinary differential equations), Moscow, Nauka, 1983, 352 p. [In Russian].
Fedorov E.N., Pilipenko V.A., On the Applicability of the Geometrical Optics Approximation when Considering Wave Processes in Geophysics, Geofizicheskie issledovanija (Geophysical Research), 2023, vol. 24, no. 1, pp. 85-92. [In Russian].
Fedorjuk M.V., Asimptoticheskie metody dlja linejnyh obyknovennyh differencial'nyh uravnenij (Asymptotic methods for linear ordinary differential equations), Moscow, Nauka, 1983, 352 p. [In Russian].
