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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
M. M. Popov, “Greeping waves in the chadow area of the $3D$ Fock problem”, Zap. Nauchn. Sem. POMI, 516 (2022), 267–274 |
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 |
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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 |
4. |
M. M. Popov, “New concept of surface waves of interference nature. Creeping waves”, Zap. Nauchn. Sem. POMI, 506 (2021), 210–222 |
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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 |
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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 |
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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 ; J. Math. Sci. (N. Y.), 243:5 (2019), 774–782 |
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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 ; J. Math. Sci. (N. Y.), 238:5 (2019), 731–735 |
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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 ; J. Math. Sci. (N. Y.), 238:5 (2019), 715–730 |
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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 ; J. Math. Sci. (N. Y.), 226:6 (2017), 795–809 |
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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 ; J. Math. Sci. (N. Y.), 226:6 (2017), 734–743 |
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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 ; J. Math. Sci. (N. Y.), 224:1 (2017), 150–156 |
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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 ; J. Math. Sci. (N. Y.), 214:3 (2016), 277–286 |
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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 ; J. Math. Sci. (N. Y.), 194:1 (2013), 30–43 |
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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 ; J. Math. Sci. (N. Y.), 194:1 (2013), 26–29 |
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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 ; J. Math. Sci. (N. Y.), 173:3 (2011), 291–298 |
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2005 |
17. |
J. de Freitas, M. M. Popov, “Paraxial ray theory for Maxwell's equations”, Zap. Nauchn. Sem. POMI, 324 (2005), 190–212 ; J. Math. Sci. (N. Y.), 138:2 (2006), 5590–5602 |
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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 ; J. Math. Sci. (N. Y.), 117:2 (2003), 4001–4007 |
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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 ; J. Math. Sci. (New York), 111:5 (2002), 3799–3805 |
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20. |
M. M. Popov, “SH-waves in homogeneous transversely isotropic media generated by a concentrated force”, Zap. Nauchn. Sem. POMI, 264 (2000), 285–298 ; J. Math. Sci. (New York), 111:5 (2002), 3791–3798 |
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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 ; 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 ; J. Math. Sci., 83:2 (1997), 210–222 |
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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 ; J. Soviet Math., 62:6 (1992), 3076–3080 |
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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 ; J. Math. Sci., 73:3 (1995), 353–360 |
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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 ; J. Soviet Math., 57:3 (1991), 3107–3110 |
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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 ; J. Soviet Math., 55:3 (1991), 1685–1705 |
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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 |
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 |
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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 |
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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 |
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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 ; J. Soviet Math., 32:2 (1986), 215–219 |
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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 ; J. Soviet Math., 32:2 (1986), 205–214 |
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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 |
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 |
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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 |
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36. |
M. M. Popov, “New method of computation of wave fields in high frequency approximation”, Zap. Nauchn. Sem. LOMI, 104 (1981), 195–216 ; J. Soviet Math., 20:1 (1982), 1869–1882 |
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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 ; J. Soviet Math., 20:1 (1982), 1840–1845 |
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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 ; J. Soviet Math., 20:5 (1982), 2486–2491 |
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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 ; J. Soviet Math., 19:4 (1982), 1487–1493 |
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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 ; J. Soviet Math., 19:4 (1982), 1476–1486 |
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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 ; J. Soviet Math., 22:1 (1983), 1136–1142 |
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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 ; J. Soviet Math., 22:1 (1983), 1121–1135 |
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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 |
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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 |
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 ; J. Soviet Math., 11:5 (1979), 797–804 |
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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 ; J. Soviet Math., 11:5 (1979), 791–797 |
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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 |
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1974 |
48. |
M. M. Popov, “Diffraction losses of confocal resonator with mirrors of arbitrary shape”, Dokl. Akad. Nauk SSSR, 219:1 (1974), 63–66 |
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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 |
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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 |
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Organisations |
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