Popov Mikhail Mikhailovich

Publications in Math-Net.Ru

1. Greeping waves in the chadow area of the $3D$ Fock problem
   
   Zap. Nauchn. Sem. POMI, 516 (2022),  267–274
2. 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
3. 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. New concept of surface waves of interference nature. Creeping waves
   
   Zap. Nauchn. Sem. POMI, 506 (2021),  210–222
5. 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
6. 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
7. On Morse index for geodesic lines on smooth surfaces imbedded in $\mathbb R^3$
   
   Zap. Nauchn. Sem. POMI, 471 (2018),  211–224
8. On the computations of scattering amplitudes in the problems of diffraction by elongated bodies of revolution
   
   Zap. Nauchn. Sem. POMI, 461 (2017),  254–259
9. 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
10. On short-wave diffraction by strongly prolate body of revolution
    
    Zap. Nauchn. Sem. POMI, 451 (2016),  156–177
11. On shortwave diffraction by elongated body. Numerical experiments
    
    Zap. Nauchn. Sem. POMI, 451 (2016),  65–78
12. On the Morse index calculation and the prolongation of the ray formulae beyond caustics
    
    Zap. Nauchn. Sem. POMI, 438 (2015),  225–235
13. Matching of local asymptotics in the illuminated part of Fock domain
    
    Zap. Nauchn. Sem. POMI, 426 (2014),  49–63
14. Leontovich–Fock parabolic equation method in the problems of short-wave diffraction by prolate bodies
    
    Zap. Nauchn. Sem. POMI, 409 (2012),  55–79
15. 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
16. 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
17. Paraxial ray theory for Maxwell's equations
    
    Zap. Nauchn. Sem. POMI, 324 (2005),  190–212
18. 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
19. Propagation of the discontinueties in a system of two interactive wave equations
    
    Zap. Nauchn. Sem. POMI, 264 (2000),  299–310
20. SH-waves in homogeneous transversely isotropic media generated by a concentrated force
    
    Zap. Nauchn. Sem. POMI, 264 (2000),  285–298
21. Computation of the second term of the ray method series in two and a half dimension
    
    Zap. Nauchn. Sem. POMI, 210 (1994),  94–108
22. 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
23. 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
24. Wood's anomalies in the scattering problem of a plane wave on a smooth periodic boundary
    
    Zap. Nauchn. Sem. LOMI, 186 (1990),  87–100
25. Computation of wave field in diffraction problem on a smooth periodic boundary
    
    Zap. Nauchn. Sem. LOMI, 179 (1989),  67–72
26. 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
27. Summation of space-time Gaussian beams in problems of propagation of wave packets
    
    Zap. Nauchn. Sem. LOMI, 165 (1987),  143–158
28. 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
29. Application of Gaussian beam method to the computations of theoretical seisinograms
    
    Zap. Nauchn. Sem. LOMI, 156 (1986),  73–97
30. On influence of the arbitrary parameters in the Gaussian beam method
    
    Zap. Nauchn. Sem. LOMI, 148 (1985),  116–119
31. Direction diagram of radiation in the problem of an inflection point of the boundary
    
    Zap. Nauchn. Sem. LOMI, 140 (1984),  167–173
32. 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
33. Eeflection of space-time ray amplitudes from arbitrary moving boundary
    
    Zap. Nauchn. Sem. LOMI, 128 (1983),  72–88
34. On validity of Gaussian beams summation method in problems with corner points on boundaries
    
    Zap. Nauchn. Sem. LOMI, 128 (1983),  65–71
35. 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
36. New method of computation of wave fields in high frequency approximation
    
    Zap. Nauchn. Sem. LOMI, 104 (1981),  195–216
37. 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
38. 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
39. 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
40. Wave field in the caustic region in a vicinity of a boundary flex point
    
    Zap. Nauchn. Sem. LOMI, 89 (1979),  246–260
41. Whispering gallery waves in a neighborhood of a flat point of a concave boundary
    
    Zap. Nauchn. Sem. LOMI, 78 (1978),  203–210
42. Examples of exactly solvable scattering problems for the parabolic equation of diffraction theory
    
    Zap. Nauchn. Sem. LOMI, 78 (1978),  184–202
43. On a method of calculation of geometric divergence in the inhomogeneous media containing interfaces
    
    Dokl. Akad. Nauk SSSR, 237:5 (1977),  1059–1062
44. Whispering gallery waves in a neighborhood of a point of inflection of the boundary
    
    Dokl. Akad. Nauk SSSR, 230:4 (1976),  822–825
45. 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
46. 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
47. An addition to the work “Diffraction loses of confocal resonator with mirrors of arbitrary shape”
    
    Zap. Nauchn. Sem. LOMI, 51 (1975),  170–171
48. Diffraction losses of confocal resonator with mirrors of arbitrary shape
    
    Dokl. Akad. Nauk SSSR, 219:1 (1974),  63–66
49. 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


50. 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