Polarized Radiation Transport Equation in Anisotropic Media

Part of the Springer Series in Light Scattering book series (SSLS)


In particular, in this paper polarized radiation transport equation in media composed of randomly spatially distributed discrete non-spherical scatterers, the scatterer sizes being comparable with the electromagnetic radiation wavelength, has been derived from the equations of classical electrodynamics.


  1. Barabanenkov YuN (1969) On the spectral theory of radiation transport equations. JETP 29(4):679ADSGoogle Scholar
  2. Barabanenkov YuN (1970) Perturbation theory in denominator for average double green function (in Russian). Izv Vyschikh Uch Zav Radiofizika 13(1):106–114Google Scholar
  3. Barabanenkov YuN (1971) On Fraunhofer approximation for multiple wave scattering theory (in Russian). Izv Vyschikh Uch Zav Radiofizika 14(2):234–243Google Scholar
  4. Barabanenkov YuN (2009) Asymptotic limit of radiative transport theory in problems of multiple scattering of waves in random inhomogeneous media. Phys Usp 52(5):502Google Scholar
  5. Barabanenkov YuN, Finkelberg VM (1967) Radiation transport equation for correlated scatterers. JETP 26(3):587ADSGoogle Scholar
  6. Barabanenkov YuN, Kravtsov YuA, Rytov SM, Tatarsky VI (1971) Status of the theory of propagation of waves in randomly inhomogeneous medium (in Russian). Sov Phys Usp 13(5):551CrossRefGoogle Scholar
  7. Barabanenkov YuN, Vinogradov AG, Kravtsov YuA, Tatarsky VI (1972) Usage of theory of wave multiple scattering for derivation of the radiative transfer equation for statistically inhomogeneous medium (in Russian). Izv Vyschikh Uch Zav Radiofizika 15(12):1852Google Scholar
  8. Chandrasekhar S (1950) Radiative transfer. Oxford University PressGoogle Scholar
  9. Dolginov AZ, Gnedin YuN, Silant’ev NA (1970) Photon polarization and frequency change in multiple scattering. J Quant Spectrosc Rad Trans 10(7):707–754ADSMathSciNetCrossRefGoogle Scholar
  10. Dyson FJ (1949) The radiation theories of Tomonaga, Schwinger, and Feynman. Phys Rev 75:486ADSMathSciNetCrossRefGoogle Scholar
  11. Foldy LL (1945) The multiple scattering of waves, I. General theory of isotropic scattering by randomly distributed scatterers. Phys Rev 67:107–119ADSMathSciNetCrossRefGoogle Scholar
  12. Gnedin YuN, Dolginov AZ (1964) Theory of multiple scattering. JETP 18(3):784MathSciNetGoogle Scholar
  13. Gnedin YuN, Dolginov AZ (1965) Theory of multiple scattering II. JETP 21(2):364ADSMathSciNetGoogle Scholar
  14. Gnedin YuN, Dolginov AZ (1967) Radiative transfer in a finite medium. Soviet Astron 10:637ADSGoogle Scholar
  15. Gnedin YuN, Dolginov AZ, Silant’ev NA (1970a) Intensity and polarization of radiation multiply scattered by freely oriented particles or medium fluctuations. JETP 30(3):540Google Scholar
  16. Gnedin YuN, Dolginov AZ, Silant’ev NA (1970b) (in Russian) JETP 58:319Google Scholar
  17. Gnedin YuN, Dolginov AZ, Silant’ev NA (1970c) (in Russian) JETP 10(7):865Google Scholar
  18. Kruglov VI (1978) To the theory of oscillatory non-equilibrium radiation of two-atom molecules. Dissertation, Minsk (in Russian)Google Scholar
  19. Kuzmina MG (1976) Polarized radiation transport equation in anisotropic media. Preprint of KIAM RAS, 68 (in Russian)Google Scholar
  20. Law CW, Watson KM (1970) Radiation transport along curved ray paths. J Math Phys 11:3125–3137ADSCrossRefGoogle Scholar
  21. Lax M (1951) Multiple scattering of waves. Rev Modern Phys 23:287–310ADSMathSciNetCrossRefGoogle Scholar
  22. Mandt C, Tsang LD (1992) Backscattering enhancement from a random distribution of large discrete spherical scatterers with a size distribution. J Opt Soc Am A 9(12):2246–2251ADSCrossRefGoogle Scholar
  23. Mishchenko MI (2008a) Multiple scattering by particles embedded in an absorbing medium. 2. Radiative transfer equation. J Quant Spect Rad Trans 109:2386–2390ADSCrossRefGoogle Scholar
  24. Mishchenko MI (2008b) Multiple scattering, radiative transfer, and weak localization in discrete random media: unified microphysical approach. Rev Geophys 46:1–33CrossRefGoogle Scholar
  25. Mishchenko MI, Travis LD, Lacis AA (2002) Scattering, absorption, and emission of light by small particles. Cambridge University PressGoogle Scholar
  26. Mishchenko MI, Dlugach JM, Yurkin MA, Bi L, Cairns B, Liu L, Panetta RL, Travis LD, Yang P, Zakharova NT (2016) First-principles modeling of electro-magnetic scattering by discrete and discretely heterogeneous random media. Phys Rep 632:1–75ADSMathSciNetCrossRefGoogle Scholar
  27. Newton R (1969) Scattering theory of waves and particles, M, MIRGoogle Scholar
  28. Ovchinnikov GI, Tatarsky VI (1972) To the problem on relation between coherence theory and radiative transfer equation (in Russian). Izv Vyschikch Uch Zav Radiofizika 15(9):1419–1421ADSGoogle Scholar
  29. Ovchinnikov GI (1974) Radiative transfer equation in visible wave band for turbulent atmosphere containing aerosol (in Russian). Izv AN SSSR, Fizika atm. i okeana 10(1):88–91Google Scholar
  30. Salpeter VE, Bether H (1951) A relativistic equation for bound-state problems. Phys Rev 84:1232ADSMathSciNetCrossRefGoogle Scholar
  31. Sazonov VN (1969) The generation and transfer of polarized synchrotron emission (in Russian). Astron Zhurnal 46(3):502–511ADSGoogle Scholar
  32. Sazonov VN (1974) Radiative transfer in anisotropic medium under the conditions of local thermodynamical equilibrium (in Russian). Astrofizika 10(3):405–416ADSGoogle Scholar
  33. Silant’ev NA (1971) Dissertation, Leningrad (in Russian)Google Scholar
  34. Tsang L, Ishimaru A (1992) Radiative wave equations for vector electromagnetic propagation in demse nontenuous media. J Electromag Waves Appl 1:809–813Google Scholar
  35. Tsang L, Kong JA (1992b) Scattering of electromagnetic waves from a dense medium consisting of correlated Mie scatterers with size distribution and applications to dry snow. J Electromag Waves Appl 6(3):265–286CrossRefGoogle Scholar
  36. Waterman PC, Truell R (1961) Multiple scattering of waves. J Math Phys 2(4):512–537ADSMathSciNetCrossRefGoogle Scholar
  37. Watson KM (1969) Multiple scattering of electromagnetic waves in an underdense plasma. J Math Phys 2(4):688–702ADSCrossRefGoogle Scholar
  38. Zheleznyakov VV, Suvorov EV, Shaposhnikov VE (1974) Transfer of polarized radiation in a magnetoactive plasma (in Russian). Astron Zhurnal 51(2):243–251ADSGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Keldysh Institute of Applied Mathematics, Russian Academy of SciencesMoscowRussia

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