I. V. Prokhorov, A. A. Sushchenko, V. A. Kan, “On a problem of reconstructing the bottom configuration of a fluctuating ocean”, Sib. Zh. Ind. Mat., 18:2 (2015), 99–110; J. Appl. Industr. Math., 9:3 (2015), 412

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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 2, Pages 99–110
DOI: https://doi.org/10.17377/sibjim.2015.18.210 (Mi sjim886)

This article is cited in 14 scientific papers (total in 14 papers)

On a problem of reconstructing the bottom configuration of a fluctuating ocean

I. V. Prokhorov^ab, A. A. Sushchenko^ab, V. A. Kan^ba

^a Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041 Vladivostok
^b Far Eastern Federal University, 8 Sukhanova st., 690950 Vladivostok

Full-text PDF (639 kB) Citations (14)

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DOI: https://doi.org/10.17377/sibjim.2015.18.210

Abstract: We formulated and investigate an inverse problem for nonstationary radiative transfer equation in application to the acoustic map making of the sea bottom with the use of side-scan sonars. In the single scattering approximation, we obtain a formula for determining the function that describes the small deviation of the surface from the bottom from a medium level.

Keywords: radiative transfer equation, inverse problems, bottom configuration, single-scattering approximation.

Received: 24.03.2015

English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 412–422
DOI: https://doi.org/10.1134/S1990478915030126

Bibliographic databases:

Document Type: Article

UDC: 517.958

Language: Russian

Citation: I. V. Prokhorov, A. A. Sushchenko, V. A. Kan, “On a problem of reconstructing the bottom configuration of a fluctuating ocean”, Sib. Zh. Ind. Mat., 18:2 (2015), 99–110; J. Appl. Industr. Math., 9:3 (2015), 412–422

Citation in format AMSBIB

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\mathnet{http://mi.mathnet.ru/sjim886}

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\jour J. Appl. Industr. Math.

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\crossref{https://doi.org/10.1134/S1990478915030126}

Linking options:

https://www.mathnet.ru/eng/sjim886

https://www.mathnet.ru/eng/sjim/v18/i2/p99

This publication is cited in the following 14 articles:

V. A. Kan, I. V. Prokhorov, “Reconstruction of the Lambert curve in a scattering medium by using pulsed sounding”, J. Appl. Industr. Math., 14:2 (2020), 321–329
Elizaveta Liu, Vladimir Kan, Andrei Sushchenko, Polina Vornovskikh, Gennadii G. Matvienko, Oleg A. Romanovskii, 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, 2020, 309
A.S. Mironov, E.S. Fomina, 2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2020, 1
E. O. Kovalenko, I. V. Prokhorov, “Opredelenie koeffitsienta donnogo rasseyaniya pri mnogoluchevom zondirovanii okeana”, Dalnevost. matem. zhurn., 19:2 (2019), 206–222
V. A. Kan, A. A. Sushchenko, E. R. Lyu, “Double-scattering approximation for the bathymetry problem”, 25Th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, Proceedings of Spie, 11208, eds. G. Matvienko, O. Romanovskii, Spie-Int Soc Optical Engineering, 2019, 112085Q
A.A. Sushchenko, V.A. Kan, E.R. Liu, 2019 Days on Diffraction (DD), 2019, 191
V. A. Kan, I. V. Prokhorov, “Opredelenie diffuzno otrazhayuschei poverkhnosti pri impulsnom obluchenii”, Dalnevost. matem. zhurn., 18:2 (2018), 206–215
A. A. Sushchenko, S. Yu. Zinkov, K. V. Sushchenko, “Analysis of surface and volume scattering in the problem of seabottom sounding”, Sib. Electron. Math. Rep., 15 (2018), 1361–1377
I. V. Prokhorov, A. A. Sushchenko, A. Kim, “An initial boundary value problem for the radiative transfer equation with diffusion matching conditions”, J. Appl. Industr. Math., 11:1 (2017), 115–124
Andrey Sushchenko, Polina Vornovskikh, Oleg A. Romanovskii, 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 2017, 257
Elisaveta Lyu, Andrei Sushchenko, Igor Prokhorov, Vladimir Kan, Oleg A. Romanovskii, 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 2017, 271
V. A. Kan, I. V. Prokhorov, A. A. Sushchenko, 2017 Days on Diffraction (DD), 2017, 163
V. A. Kan, I. V. Prokhorov, A. A. Sushchenko, “Determining the bottom surface according to data of side-scan sonars”, 22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, Proceedings of SPIE, 10035, eds. G. Matvienko, O. Romanovskii, SPIE-Int. Soc. Optical Engineering, 2016, 1003518
E. O. Kovalenko, A. A. Sushchenko, I. V. Prokhorov, “Processing of the information from side-scan sonar”, 22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, Proceedings of SPIE, 10035, eds. G. Matvienko, O. Romanovskii, SPIE-Int. Soc. Optical Engineering, 2016, 100352C

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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