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Reviews of topical problems


Monte Carlo method in nonlinear statistical optics


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

The state of the art of the Monte Carlo studies of randomly modulated optical waves in regular and randomly inhomogeneous nonlinear media is reviewed. A wide range of phenomena dealt with in nonlinear statistical optics are discussed, including self-phase noise pulse modulation, the self-action of partially coherent beams, the formation and instability of solitons, stimulated Raman scattering, intensive light beams in a turbulent atmosphere, and adaptive radiation focusing. Special attention is given to the justification of the phase screen model for a randomly inhomogeneous nonlinear continuum, and the numerical simulation of random light fields is discussed in detail.

Fulltext pdf (873 KB)
Fulltext is also available at DOI: 10.1070/PU1996v039n12ABEH000185
PACS: 02.70.Lq
DOI: 10.1070/PU1996v039n12ABEH000185
URL: https://ufn.ru/en/articles/1996/12/c/
A1996WE26100003
Citation: Kandidov V P "Monte Carlo method in nonlinear statistical optics" Phys. Usp. 39 1243–1272 (1996)
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Оригинал: Кандидов В П «Метод Монте-Карло в нелинейной статистической оптике» УФН 166 1309–1338 (1996); DOI: 10.3367/UFNr.0166.199612c.1309

References (198) Cited by (90) ↓ Similar articles (20)

  1. Zverev M A, Knizhin S I Radiophys Quantum El 68 (10) 761 (2026)
  2. Bogachev V A, Kolokolov I V et al Jetp Lett. 123 (8) 521 (2026)
  3. Bogachev V A, Kolokolov I V et al Phys. Rev. E 114 (3) (2026)
  4. Hafizi B, Isaacs J J et al Phys. Rev. A 113 (2) (2026)
  5. Nemtseva A V, Starikov F A Jetp Lett. 123 (12) 824 (2026)
  6. Borcea L, Garnier J, Sølna Knut J. Opt. Soc. Am. A 43 (7) C6 (2026)
  7. Lukin I P, Rytchkov D S Russ Phys J 68 (7) 956 (2025)
  8. Lukin I, Rychkov D International Symposium "Atmospheric and Ocean Optics. Atmospheric Physics", (2025) p. 1
  9. Lukin V P Optoelectron.Instrument.Proc. 60 (3) 342 (2024)
  10. Bogachev V A, Nemtseva A V, Starikov F A Atmos Ocean Opt 37 (S1) S31 (2024)
  11. ’v’?’?ts’?’?’? ’B ’E, ’G’?’?’?ch’?’? ’E ’B, ’lт’?р’?’?’?’? ’s ’B XXX Yu’?’?’?’?’?’?ы’? ’a’?zh’?у’?’?р’?’?’?ы’? с’?’?’?’?’?’?у’? ’d’?т’?’?’? ’?т’?’?сф’?ры ’? ’?’?’?’?’?’?. ’s’?’?’?’?’? ’?т’?’?сф’?ры, (2024) с. 155
  12. ’G’?’?’?ch’?’? ’E ’B, ’v’?’?ts’?’?’? ’B ’E, ’lт’?р’?’?’?’? ’s ’B XXX Yu’?’?’?’?’?’?ы’? ’a’?zh’?у’?’?р’?’?’?ы’? с’?’?’?’?’?’?у’? ’d’?т’?’?’? ’?т’?’?сф’?ры ’? ’?’?’?’?’?’?. ’s’?’?’?’?’? ’?т’?’?сф’?ры, (2024) с. 150
  13. Nemtseva A, Bogachev V et al 29th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2023) p. 264
  14. Knizhin S I, Tinin M V Radiophys Quantum El 65 (9) 668 (2023)
  15. Zhu W, Xia W Remote Sensing 15 (7) 1907 (2023)
  16. Zhu W IEEE J. Sel. Top. Appl. Earth Observations Remote Sensing 16 7462 (2023)
  17. Marakasov D A, Afanasiev A L et al Computer Optics 46 (2) (2022)
  18. Volkov M V, Bogachev V A et al Atmos Ocean Opt 35 (3) 250 (2022)
  19. Kuzikov O, Volkov M V et al 28th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2022) p. 218
  20. Nemtseva A, Bogachev V et al 28th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2022) p. 223
  21. ’a’?р’?’?’?с’?’? ’K ’B, ’lуkh’?р’?’? ’B ’B XXVIII ’a’?zh’?у’?’?р’?’?’?ы’? с’?’?’?’?’?’?у’? ?u’d’?т’?’?’? ’?т’?’?сф’?ры ’? ’?’?’?’?’?’?. ’s’?’?’?’?’? ’?т’?’?сф’?ры», (2022) с. 20
  22. Marakasov D, Sukharev A A et al 28th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2022) p. 104
  23. Zhu W Earth Sci Inform 14 (4) 2145 (2021)
  24. Gerasimova L O J. Phys.: Conf. Ser. 1499 (1) 012010 (2020)
  25. Gorbunov M E, Koval O A, Mamontov A E Izv. Atmos. Ocean. Phys. 56 (1) 52 (2020)
  26. Tinin M, Knizhin S Radio Science 55 (4) (2020)
  27. Rytchkov D S, Matvienko G G, Romanovskii O A 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, (2020) p. 153
  28. Shimojo Y, Nishimura T et al Laser Ther J 29 (1) 61 (2020)
  29. Zernov N N, Driuk A V Journal Of Atmospheric And Solar-Terrestrial Physics 205 105313 (2020)
  30. Sukharev A A Atmos Ocean Opt 32 (2) 207 (2019)
  31. Gerasimova L, Banakh V et al 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2018) p. 164
  32. Tinin M V Advances In Mathematical Physics 2018 1 (2018)
  33. Tinin M V Radiophys Quantum El 61 (4) 259 (2018)
  34. Kolesnikov S V, Saletsky A M et al Math Models Comput Simul 10 (5) 564 (2018)
  35. Zaloznaya E, Sukharev A A et al 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2018) p. 66
  36. Sukharev A A, Kuskov V, Romanovskii O A 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2017) p. 63
  37. Sukharev A A, Banakh V, Romanovskii O A 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, (2017) p. 61
  38. Tinin M Radio Science 51 (8) 1350 (2016)
  39. (22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics Method of evaluation of the radial distribution of the refractive index spectrum in axisymmetric supersonic jet from laser transillumination results Gennadii G.MatvienkoOleg A.RomanovskiiD. A.Marakasov10035 (2016) p. 100352B
  40. Shlenov S A, Vasiltsov V V, Kandidov V P Atmos Ocean Opt 29 (4) 324 (2016)
  41. Banakh V A, Sukharev A A Atmos Ocean Opt 29 (3) 225 (2016)
  42. (22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 22nd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics Laser beam distortion propagation through a shock wave arising in a supersonic flows past turret in a homogeneous medium Gennadii G.MatvienkoOleg A.RomanovskiiV. A.BanakhA. A.Sukharev10035 (2016) p. 100350V
  43. (Optical Interactions with Tissue and Cells XXVII) Vol. Optical Interactions with Tissue and Cells XXVIIAccurately modeling Gaussian beam propagation in the context of Monte Carlo techniquesE. DucoJansenBrett H.HokrAidanWinbladJoel N.BixlerGabrielElpersByronZollarsMarlan O.ScullyVladislav V.YakovlevRobert J.Thomas9706 (2016) p. 970614
  44. Banakh V A, Sukharev A A, Falits A V Atmos Ocean Opt 28 (1) 24 (2015)
  45. Volkov V A, Volkov M V et al Quantum Electron. 45 (12) 1125 (2015)
  46. Banakh V A, Sukharev A A, Falits A V Appl. Opt. 54 (8) 2023 (2015)
  47. Hokr B H, Bixler J N et al Opt. Express 23 (7) 8699 (2015)
  48. (21st International Symposium Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 21st International Symposium Atmospheric and Ocean Optics: Atmospheric PhysicsNumerical investigation of energy density fluctuation of pulsed Laguerre-Gaussian beamsOleg A.RomanovskiiV. A.BanakhL. O.GerasimovaI. N.SmalikhoA. V.Falits9680 (2015) p. 968012
  49. Mokhtarpour L, Ponomarenko S A Opt. Express 23 (23) 30270 (2015)
  50. Kanev F, Rytchkov D, Makenova N AMM 756 359 (2015)
  51. Banakh V A, Gerasimova L O, Smalikho I N Quantum Electron. 45 (3) 258 (2015)
  52. Lukin V P ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 184 (6) 599 (2014) [Lukin V P Phys.-Usp. 57 (6) 556 (2014)]
  53. Banakh V A, Smalikho I N Opt. Express 22 (19) 22285 (2014)
  54. (20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric PhysicsLaguerre-Gaussian beam broadening in the turbulent atmosphereOleg A.RomanovskiiV. A.BanakhA. V.Falits9292 (2014) p. 92921Q
  55. (20th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics) Vol. 20th International Symposium on Atmospheric and Ocean Optics: Atmospheric PhysicsDiffraction of optical beam at a shock wave arising near supersonic aircraftOleg A.RomanovskiiV. A.BanakhA. A.SukharevA. V.Falits9292 (2014) p. 92921N
  56. Banakh V A, Falits A V Opt. Spectrosc. 117 (6) 942 (2014)
  57. Smalikho I N Atmos Ocean Opt 26 (2) 135 (2013)
  58. Marakasov D A Atmos Ocean Opt 26 (5) 371 (2013)
  59. Banakh V A, Falits A V Atmos Ocean Opt 26 (6) 455 (2013)
  60. Kandidov V P, Shlenov S A Atmos Ocean Opt 25 (3) 192 (2012)
  61. (Smart & Adaptive Optics) Vol. Smart & Adaptive OpticsPeculiarities of Adaptive Laser Location of Debris with Rough SurfaceVladimirBogachevSergeyGaraninNikitaMaslovFedorStarikovVladimirVolkov82 (2012) p. 85
  62. Marakasov D A, Rytchkov D S Atmos Ocean Opt 25 (2) 127 (2012)
  63. Banakh V A, Smalikho I N, Falits A V Atmos Ocean Opt 25 (2) 106 (2012)
  64. Banakh V A, Smalikho I N Atmos Ocean Opt 24 (5) 457 (2011)
  65. Grechin S G, Dmitriev V G, Chirkin A S Quantum Electron. 41 (12) 1061 (2011)
  66. Banakh V A, Marakasov D A, Sukharev A A Opt. Spectrosc. 111 (6) 967 (2011)
  67. Lajunen H, Torres-Company V?ector et al Opt. Express 18 (14) 14979 (2010)
  68. Aksenov V P, Kanev F Yu, Pogutsa Ch E Atmos Ocean Opt 23 (5) 344 (2010)
  69. Kuznetsov V S, Nikolaeva O V et al Math Models Comput Simul 2 (1) 22 (2010)
  70. Banakh V A, Marakasov D A, Sukharev A A Opt. Spectrosc. 108 (1) 117 (2010)
  71. Kandidov V P, Dormidonov A E et al Topics In Applied Physics Vol. Self-focusing: Past and PresentSelf-focusing and Filamentation of Powerful Femtosecond Laser Pulses114 Chapter 15 (2009) p. 371
  72. Spindler G, Paunescu G Appl. Phys. B 96 (1) 185 (2009)
  73. Marakasov D A, Rytchkov D S Atmos Ocean Opt 22 (1) 14 (2009)
  74. Popov A P, Priezzhev A V et al Moscow Univ. Phys. 64 (5) 513 (2009)
  75. Fedorov V Y, Shlenov S A, Kandidov V P Eur. Phys. J. D 50 (2) 185 (2008)
  76. Kovalev A A, Liberman A A et al Meas Tech 51 (8) 858 (2008)
  77. Banakh V A, Marakasov D A J. Opt. Soc. Am. A 24 (10) 3245 (2007)
  78. Kuzmin V L, Churmakov D Y, Meglinski I V Photonic Metamaterials: From Random to Periodic, (2006) p. ThB5
  79. Dodonov V V, Kovalev A A et al Meas Tech 49 (9) 873 (2006)
  80. Kuz’min V L, Romanov V P et al Opt. Spectrosc. 100 (5) 767 (2006)
  81. Berrocal E, Churmakov D Y et al Appl. Opt. 44 (13) 2519 (2005)
  82. Romanov V P, Churmakov D Yu et al Opt. Spectrosc. 97 (5) 796 (2004)
  83. Kuzmin V L, Meglinski I V Jetp Lett. 79 (3) 109 (2004)
  84. Kuz’min V L, Meglinskii I V Opt. Spectrosc. 97 (1) 100 (2004)
  85. Skipetrov S E, Maynard R Wave Scattering in Complex Media: From Theory to Applications Chapter 5 (2003) p. 75
  86. Makeev E V, Skipetrov S E Optics Communications 224 (1-3) 139 (2003)
  87. Jermy M C, Allen A Appl. Opt. 41 (20) 4188 (2002)
  88. Aksenov V P, Izmailov I V et al Opt. Spectrosc. 92 (3) 409 (2002)
  89. Banakh V A, Ponomarev Yu N et al Infrared Physics & Technology 41 (2) 115 (2000)
  90. Banakh V A, Smalikho I N, Werner Ch Appl. Opt. 39 (30) 5403 (2000)
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