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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. LOMI, 1981, Volume 104, Pages 195–216 (Mi znsl3390)

New method of computation of wave fields in high frequency approximation
M. M. Popov

This publication is cited in the following articles:
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  10. Anatoly Yu. Anikin, Sergey Yu. Dobrokhotov, Alexander I. Klevin, Brunello Tirozzi, “Short-Wave Asymptotics for Gaussian Beams and Packets and Scalarization of Equations in Plasma Physics”, Physics, 1:2 (2019), 301  crossref
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  13. Ghanmi Helmi, Khenchaf Ali, Pouliguen Philippe, Leye Papa Oussmane, “Experimental Results and Numerical Simulation of the Target RCS using Gaussian Beam Summation Method”, Adv. sci. technol. eng. syst. j., 3:3 (2018), 01  crossref
  14. Xingguo Huang, Hui Sun, “Numerical modeling of Gaussian beam propagation and diffraction in inhomogeneous media based on the complex eikonal equation”, Acta Geophys., 66:4 (2018), 497  crossref
  15. Jidong Yang, Hejun Zhu, George McMechan, Yubo Yue, “Time-domain least-squares migration using the Gaussian beam summation method”, Geophysical Journal International, 214:1 (2018), 548  crossref
  16. E. A. Gorodnitskiy, M. V. Perel, “Justification of the wavelet-based integral representation of a solution of the wave equation”, J. Math. Sci. (N. Y.), 238:5 (2019), 630–640  mathnet  crossref
  17. Gorodnitskiy E. Perel M. Geng Yu. Wu R.-Sh., “Depth migration with Gaussian wave packets based on Poincaré wavelets”, Geophys. J. Int., 205:1 (2016), 314–331  crossref  isi  elib  scopus
  18. L. Knopoff, A. W. Trorey, Fred J. Hilterman, John R. Berryhill, Jan D. Achenbach, Arthur K. Gautesen, Daniel A. Mendelsohn, Boris Zavalishin, David R. Dalton, Matthew J. Yedlin, K. D. Klem-Musatov, A.M. Aizenberg, P.M. Bakker, A. B. Druzhinin, Mrinal K. Sen, L. Neil Frazer, Andrzej Hanyga, José M. Carcione, Anthony F. Gangi, Martin Tygel, Bjørn Ursin, H.B. Helle, Jan Pajchel, Seismic Diffraction, 2016, 63  crossref
  19. M. M. Popov, “On the Morse index calculation and the prolongation of the ray formulae beyond caustics”, J. Math. Sci. (N. Y.), 224:1 (2017), 150–156  mathnet  crossref  mathscinet
  20. Nizare El Yadari, “True-amplitude vector-acoustic imaging: Application of Gaussian beams”, GEOPHYSICS, 80:1 (2015), S43  crossref
  21. M. M. Popov, P. M. Popov, “Comparison of the Hill's method with the seismic depth migration by the Gaussian beam summation method”, J. Math. Sci. (N. Y.), 173:3 (2011), 291–298  mathnet  crossref
  22. Mikhail M. Popov, Nikolay M. Semtchenok, Peter M. Popov, Arie R. Verdel, “Depth migration by the Gaussian beam summation method”, GEOPHYSICS, 75:2 (2010), S81  crossref
  23. Valery E. Grikurov, 2007 International Conference - Days on Diffraction, 2007, 73  crossref
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  27. M. M. Popov, “Summation of space-time Gaussian beams in problems of propagation of wave packets”, J Math Sci, 50:6 (1990), 2032  crossref
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  29. A. P. Kachalov, M. M. Popov, “Application of the method of summation of Gaussian beams to the calculation of theoretical seismograms”, J Math Sci, 50:4 (1990), 1727  crossref
  30. A. I. Lanin, M. M. Popov, “Choice of parameters in the Gaussian beam method”, J Math Sci, 38:1 (1987), 1641  crossref
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  32. A. P. Kachalov, M. M. Popov, I. Pshenchik, “Applicability of the Gaussian beams summation method to problems with angular points on the boundaries”, J Math Sci, 30:5 (1985), 2406  crossref


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