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Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics


A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation

The major stages of how mathematical statistical physics has been used in the last fifty years to describe random medium electromagnetic wave (light) propagation are outlined. The statistical description is discussed either in terms of the scalar parabolic equation (quasioptical approximation) — when the governing parameters are needed, or by writing its functional integral solution — if the caustic structure of the wave field is to be analyzed.

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Fulltext is also available at DOI: 10.1070/PU2004v047n02ABEH001685
PACS: 02.50.Ey, 41.20.Jb, 42.25.Dd (all)
DOI: 10.1070/PU2004v047n02ABEH001685
URL: https://ufn.ru/en/articles/2004/2/e/
000222400000005
2004PhyU...47..169K
Citation: Klyatskin V I "Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics" Phys. Usp. 47 169–186 (2004)
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Оригинал: Кляцкин В И «Распространение электромагнитных волн в случайно-неоднородной среде как задача статистической математической физики» УФН 174 177–195 (2004); DOI: 10.3367/UFNr.0174.200402e.0177

References (44) Cited by (14) Similar articles (20) ↓

  1. V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems54 441–464 (2011)
  2. V.I. Klyatskin “Clustering and diffusion of particles and passive tracer density in random hydrodynamic flows46 667–688 (2003)
  3. V.I. Klyatskin, D. Gurarie “Coherent phenomena in stochastic dynamical systems42 165 (1999)
  4. A.S. Mikhailov, I.V. Uporov “Critical phenomena in media with breeding, decay, and diffusion27 695–714 (1984)
  5. Ya.B. Zel’dovich, S.A. Molchanov et alIntermittency in random media30 353–369 (1987)
  6. A.M. Prokhorov, F.V. Bunkin et alPropagation of laser radiation in randomly inhomogeneous media17 826–847 (1975)
  7. S.A. Gredeskul, V.D. Freilikher “Localization and wave propagation in randomly layered media33 (2) 134–146 (1990)
  8. V.V. Tuchin “Light scattering study of tissues40 495–515 (1997)
  9. Yu.N. Barabanenkov, Yu.A. Kravtsov et alStatus of the theory of propagation of waves in a Randomly inhomogeneous medium13 551–575 (1971)
  10. V.S. Anishchenko, A.B. Neiman et alStochastic resonance: noise-enhanced order42 7–36 (1999)
  11. V.G. Veselago “The electrodynamics of substances with simultaneously negative values of ε and μ10 509–514 (1968)
  12. V.L. Kuz’min, V.P. Romanov “Coherent phenomena in light scattering from disordered systems39 231–260 (1996)
  13. S.I. Vainshtein, Ya.B. Zel’dovich “Origin of Magnetic Fields in Astrophysics (Turbulent ’Dynamo’ Mechanisms)15 159–172 (1972)
  14. A.L. Virovlyansky, D.V. Makarov, S.V. Prants “Ray and wave chaos in underwater acoustic waveguides55 18–46 (2012)
  15. Yu.A. Kravtsov, S.M. Rytov, V.I. Tatarskii “Statistical problems in diffraction theory18 118–130 (1975)
  16. B.M. Bolotovskii, S.N. Stolyarov “Current status of the electrodynamics of moving media (infinite media)17 875–895 (1975)
  17. A.V. Timofeev “Electromagnetic waves in a magnetized plasma near the critical surface47 555–582 (2004)
  18. D.V. Skobel’tsyn “The momentum-energy tensor of the electromagnetic field16 381–401 (1973)
  19. G.M. Zaslavskii, B.V. Chirikov “Stochastic instability of non-linear oscillations14 549–568 (1972)
  20. A.B. Shvartsburg “Dispersion of electromagnetic waves in stratified and nonstationary media (exactly solvable models)43 1201–1228 (2000)

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