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Popov, Mikhail Mikhailovich
(1941–2023)
Statistics Math-Net.Ru
Total publications: 50
Scientific articles: 49

Number of views:
This page:3287
Abstract pages:7898
Full texts:2825
References:382
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person33965
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:popov.m-m
https://mathscinet.ams.org/mathscinet/MRAuthorID/353918

Publications in Math-Net.Ru Citations
2022
1. M. M. Popov, “Greeping waves in the chadow area of the $3D$ Fock problem”, Zap. Nauchn. Sem. POMI, 516 (2022),  267–274  mathnet
2. M. M. Popov, “Asymptotic solutions of the wave equation localized in a tabular vicinity of the geodesics and the Fock problem in $3D$”, Zap. Nauchn. Sem. POMI, 516 (2022),  253–266  mathnet 1
2021
3. M. M. Popov, “Corrigendum to "On the Morse index for geodesic lines on smooth surfaces embedded in $\mathbb R^3$"”, Zap. Nauchn. Sem. POMI, 506 (2021),  293–294  mathnet
4. M. M. Popov, “New concept of surface waves of interference nature. Creeping waves”, Zap. Nauchn. Sem. POMI, 506 (2021),  210–222  mathnet 1
2020
5. M. M. Popov, “On matching of the integral asymptotics for a surface wave of interference type with the wavefield of the source”, Zap. Nauchn. Sem. POMI, 493 (2020),  314–322  mathnet 1
6. M. M. Popov, “New concept of surface waves of interference nature on smooth, strictly convex surfaces embedded in $\mathbb R^3$”, Zap. Nauchn. Sem. POMI, 493 (2020),  301–313  mathnet 6
2018
7. M. M. Popov, “On Morse index for geodesic lines on smooth surfaces imbedded in $\mathbb R^3$”, Zap. Nauchn. Sem. POMI, 471 (2018),  211–224  mathnet; J. Math. Sci. (N. Y.), 243:5 (2019), 774–782  scopus 2
2017
8. M. M. Popov, N. M. Semtchenok, “On the computations of scattering amplitudes in the problems of diffraction by elongated bodies of revolution”, Zap. Nauchn. Sem. POMI, 461 (2017),  254–259  mathnet; J. Math. Sci. (N. Y.), 238:5 (2019), 731–735 1
9. M. M. Popov, N. M. Semtchenok, “Scattering amplitudes in a neighborhood of the limit rays in shortwave diffraction problems of a plane wave by elongated bodies of revolution”, Zap. Nauchn. Sem. POMI, 461 (2017),  232–253  mathnet; J. Math. Sci. (N. Y.), 238:5 (2019), 715–730
2016
10. M. M. Popov, N. M. Semtchenok, N. Ya. Kirpichnikova, “On short-wave diffraction by strongly prolate body of revolution”, Zap. Nauchn. Sem. POMI, 451 (2016),  156–177  mathnet  mathscinet; J. Math. Sci. (N. Y.), 226:6 (2017), 795–809  scopus 6
11. N. Ya. Kirpichnikova, M. M. Popov, N. M. Semtchenok, “On shortwave diffraction by elongated body. Numerical experiments”, Zap. Nauchn. Sem. POMI, 451 (2016),  65–78  mathnet  mathscinet; J. Math. Sci. (N. Y.), 226:6 (2017), 734–743  scopus 6
2015
12. M. M. Popov, “On the Morse index calculation and the prolongation of the ray formulae beyond caustics”, Zap. Nauchn. Sem. POMI, 438 (2015),  225–235  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:1 (2017), 150–156 2
2014
13. N. Ya. Kirpichnikova, M. M. Popov, “Matching of local asymptotics in the illuminated part of Fock domain”, Zap. Nauchn. Sem. POMI, 426 (2014),  49–63  mathnet  mathscinet; J. Math. Sci. (N. Y.), 214:3 (2016), 277–286  scopus 4
2012
14. N. Ya. Kirpichnikova, M. M. Popov, “Leontovich–Fock parabolic equation method in the problems of short-wave diffraction by prolate bodies”, Zap. Nauchn. Sem. POMI, 409 (2012),  55–79  mathnet  mathscinet; J. Math. Sci. (N. Y.), 194:1 (2013), 30–43  scopus 17
15. N. Ya. Kirpichnikova, M. M. Popov, “Ray method applied to the plane wave diffraction by “thin” cone with small angle at the apex”, Zap. Nauchn. Sem. POMI, 409 (2012),  49–54  mathnet  mathscinet; J. Math. Sci. (N. Y.), 194:1 (2013), 26–29  scopus 2
2010
16. M. M. Popov, P. M. Popov, “Comparison of the Hill's method with the seismic depth migration by the Gaussian beam summation method”, Zap. Nauchn. Sem. POMI, 379 (2010),  88–102  mathnet; J. Math. Sci. (N. Y.), 173:3 (2011), 291–298  scopus 4
2005
17. J. de Freitas, M. M. Popov, “Paraxial ray theory for Maxwell's equations”, Zap. Nauchn. Sem. POMI, 324 (2005),  190–212  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 138:2 (2006), 5590–5602  scopus 2
2001
18. M. M. Popov, “Asimptotics of the wave field in a vicinity of the axis of symmetry of a transversely isotopic homogeneous medium”, Zap. Nauchn. Sem. POMI, 275 (2001),  199–211  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 117:2 (2003), 4001–4007 5
2000
19. M. M. Popov, I. N. Shchitov, “Propagation of the discontinueties in a system of two interactive wave equations”, Zap. Nauchn. Sem. POMI, 264 (2000),  299–310  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 111:5 (2002), 3799–3805 2
20. M. M. Popov, “SH-waves in homogeneous transversely isotropic media generated by a concentrated force”, Zap. Nauchn. Sem. POMI, 264 (2000),  285–298  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 111:5 (2002), 3791–3798 5
1994
21. N. Ya. Kirpichnikova, M. M. Popov, “Computation of the second term of the ray method series in two and a half dimension”, Zap. Nauchn. Sem. POMI, 210 (1994),  94–108  mathnet  mathscinet  zmath; J. Math. Sci., 83:2 (1997), 223–232
22. N. Ya. Kirpichnikova, M. M. Popov, I. Pšenčik, “An algorithm for computation of the second term of the ray method series in an inhomogeneous isotropic medium”, Zap. Nauchn. Sem. POMI, 210 (1994),  73–93  mathnet  mathscinet  zmath; J. Math. Sci., 83:2 (1997), 210–222 1
1991
23. V. V. Zalipaev, M. M. Popov, “On completeness of asymptotic formulae for amplitudes of the plane waves diffracted by a smooth periodic boundary”, Zap. Nauchn. Sem. LOMI, 195 (1991),  40–47  mathnet  mathscinet; J. Soviet Math., 62:6 (1992), 3076–3080
1990
24. V. V. Zalipaev, M. M. Popov, “Wood's anomalies in the scattering problem of a plane wave on a smooth periodic boundary”, Zap. Nauchn. Sem. LOMI, 186 (1990),  87–100  mathnet  mathscinet  zmath; J. Math. Sci., 73:3 (1995), 353–360 2
1989
25. V. V. Zalipaev, M. M. Popov, “Computation of wave field in diffraction problem on a smooth periodic boundary”, Zap. Nauchn. Sem. LOMI, 179 (1989),  67–72  mathnet  mathscinet  zmath; J. Soviet Math., 57:3 (1991), 3107–3110
1988
26. V. V. Zalipaev, M. M. Popov, “Shortwave grazing scattering of a plane wave on a smooth periodic boundary. II. Diffraction on an infinite periodic boundary”, Zap. Nauchn. Sem. LOMI, 173 (1988),  60–86  mathnet  mathscinet  zmath; J. Soviet Math., 55:3 (1991), 1685–1705 6
1987
27. M. M. Popov, “Summation of space-time Gaussian beams in problems of propagation of wave packets”, Zap. Nauchn. Sem. LOMI, 165 (1987),  143–158  mathnet  zmath
28. V. V. Zalipaev, M. M. Popov, “Short-wave grazing scattering of a planar wave at a smooth periodic boundary. I: Diffraction of a half-shadow field of a smooth convex contour”, Zap. Nauchn. Sem. LOMI, 165 (1987),  59–90  mathnet  zmath 2
1986
29. A. P. Kachalov, M. M. Popov, “Application of Gaussian beam method to the computations of theoretical seisinograms”, Zap. Nauchn. Sem. LOMI, 156 (1986),  73–97  mathnet  zmath
1985
30. A. I. Lanin, M. M. Popov, “On influence of the arbitrary parameters in the Gaussian beam method”, Zap. Nauchn. Sem. LOMI, 148 (1985),  116–119  mathnet  mathscinet  zmath
1984
31. V. G. Krasavin, M. M. Popov, “Direction diagram of radiation in the problem of an inflection point of the boundary”, Zap. Nauchn. Sem. LOMI, 140 (1984),  167–173  mathnet  zmath; J. Soviet Math., 32:2 (1986), 215–219 8
32. M. M. Popov, “Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$”, Zap. Nauchn. Sem. LOMI, 140 (1984),  151–166  mathnet  mathscinet  zmath; J. Soviet Math., 32:2 (1986), 205–214 9
1983
33. N. Ya. Kirpichnikova, M. M. Popov, “Eeflection of space-time ray amplitudes from arbitrary moving boundary”, Zap. Nauchn. Sem. LOMI, 128 (1983),  72–88  mathnet  mathscinet
34. A. P. Katchalov, M. M. Popov, I. Pshenchik, “On validity of Gaussian beams summation method in problems with corner points on boundaries”, Zap. Nauchn. Sem. LOMI, 128 (1983),  65–71  mathnet  mathscinet
1981
35. A. P. Kachalov, M. M. Popov, “Application of the Gaussian beam summation method for the computation of wave fields in the high-frequency approximation”, Dokl. Akad. Nauk SSSR, 258:5 (1981),  1097–1100  mathnet 3
36. M. M. Popov, “New method of computation of wave fields in high frequency approximation”, Zap. Nauchn. Sem. LOMI, 104 (1981),  195–216  mathnet  mathscinet  zmath; J. Soviet Math., 20:1 (1982), 1869–1882 31
37. A. I. Lanin, M. M. Popov, “Behaviour of the whispering gallery rays in a vicinity of a point where curvature of the boundary vanishes”, Zap. Nauchn. Sem. LOMI, 104 (1981),  146–155  mathnet  mathscinet  zmath; J. Soviet Math., 20:1 (1982), 1840–1845 2
1980
38. V. G. Krasavin, M. M. Popov, “Excitation coefficients of the whispering gallery waves in a vicinity of concave boundary with curvature vanishing at a point”, Zap. Nauchn. Sem. LOMI, 99 (1980),  138–145  mathnet  mathscinet  zmath; J. Soviet Math., 20:5 (1982), 2486–2491 1
1979
39. M. M. Popov, “Correctness of the problem of whispering gallery waves in a vicinity of the-points where boundary's curvature vanishes”, Zap. Nauchn. Sem. LOMI, 89 (1979),  261–269  mathnet  mathscinet; J. Soviet Math., 19:4 (1982), 1487–1493 7
40. M. M. Popov, “Wave field in the caustic region in a vicinity of a boundary flex point”, Zap. Nauchn. Sem. LOMI, 89 (1979),  246–260  mathnet  mathscinet; J. Soviet Math., 19:4 (1982), 1476–1486 4
1978
41. M. M. Popov, I. Pshenchik, “Whispering gallery waves in a neighborhood of a flat point of a concave boundary”, Zap. Nauchn. Sem. LOMI, 78 (1978),  203–210  mathnet  mathscinet  zmath; J. Soviet Math., 22:1 (1983), 1136–1142 1
42. M. M. Popov, “Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory”, Zap. Nauchn. Sem. LOMI, 78 (1978),  184–202  mathnet  mathscinet  zmath; J. Soviet Math., 22:1 (1983), 1121–1135 2
1977
43. M. M. Popov, “On a method of calculation of geometric divergence in the inhomogeneous media containing interfaces”, Dokl. Akad. Nauk SSSR, 237:5 (1977),  1059–1062  mathnet 4
1976
44. M. M. Popov, I. Pshenchik, “Whispering gallery waves in a neighborhood of a point of inflection of the boundary”, Dokl. Akad. Nauk SSSR, 230:4 (1976),  822–825  mathnet  mathscinet
45. M. M. Popov, I. Pshenchik, “Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary”, Zap. Nauchn. Sem. LOMI, 62 (1976),  207–219  mathnet  mathscinet  zmath; J. Soviet Math., 11:5 (1979), 797–804 7
46. M. M. Popov, “Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary”, Zap. Nauchn. Sem. LOMI, 62 (1976),  197–206  mathnet  mathscinet  zmath; J. Soviet Math., 11:5 (1979), 791–797 26
1975
47. M. M. Popov, “An addition to the work “Diffraction loses of confocal resonator with mirrors of arbitrary shape””, Zap. Nauchn. Sem. LOMI, 51 (1975),  170–171  mathnet  mathscinet
1974
48. M. M. Popov, “Diffraction losses of confocal resonator with mirrors of arbitrary shape”, Dokl. Akad. Nauk SSSR, 219:1 (1974),  63–66  mathnet
1969
49. M. M. Popov, “The asymptotic behavior of certain subsequences of eigenvalues of boundary value problems for the Helmholtz equation in higher dimensions”, Dokl. Akad. Nauk SSSR, 184:5 (1969),  1076–1079  mathnet  mathscinet  zmath
2003
50. M. M. Popov, “Asymptotics of the wave field in a vicinity of the axis of symmetry of a transversely isotropic homogeneous medium”, Zap. Nauchn. Sem. POMI, 297 (2003),  272  mathnet  mathscinet

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