On the solution of a vectorial radiative transfer equation in an arbitrary three-dimensional turbid medium with anisotropic scattering

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 109, Issue 2, 2008, Pages 220-234

  Budak, Vladimir P ^a   Korkin, Sergey V ^a  

^a MOSCOW POWER ENGINEERING INSTITUTE   (Russian Federation)

Author keywords

3D vectorial radiative transfer; Finite element method; Small angle approximation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; GEOMETRY; RADIATIVE TRANSFER; VECTORS;

ANISOTROPIC SCATTERING; SMALL-ANGLE APPROXIMATION; TURBID MEDIUM; VECTORIAL RADIATIVE TRANSFER;

NUMERICAL METHODS;

ANISOTROPIC MEDIUM; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; RADIATIVE TRANSFER; THREE-DIMENSIONAL MODELING; TRANSFER FUNCTION; VECTOR;

EID: 35648979607     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2007.08.016     Document Type: Article

References (18)

1. Marshak A., and Davis A. 3D radiative transfer in cloudy atmospheres (2005), Springer, Berlin
2. Chandrasekhar S. Radiative transfer (1950), Oxford University Press, London
3. Germogenova T.A. The local properties of transport equation solutions (1986), Nauka, Moscow [in Russian]
4. Evans K.F. The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer. J Atmos Sci 55 (1998) 429-446
5. Budak V.P., Kozelskii A.V., and Savitskii E.N. Improvement of the spherical harmonics method convergence at strongly anisotropic scattering. Atmos Oceanic Opt 17 (2004) 28-33
6. Goudsmit S., and Saunderson J.L. Multiple scattering of electrons. Phys Rev 57 (1940) 24-29
7. Wang M.C., and Guth E. On the theory of multiple scattering, particularly of charged particles. Phys Rev 84 (1951) 1092-1111
8. Karp A.H., Greenstadt J., and Fillmore J.A. Radiative transfer through an arbitrary thick scattering atmosphere. J Quant Spectrosc Radiat Transf 24 (1980) 391-406
9. Mitchell A.R., and Wait R. The finite element method in partial differential equation (1976), Wiley, London
10. Boudak VP. Convergence acceleration of a spherical harmonics method at the strong anisotropic scattering. In: Proceedings of the IRS 2004: Current problems in atmospheric radiation. Hampton: Deepak; 2006. p. 47-50.
11. Budak V.P., and Kozelskii A.V. Accuracy and applicability domain of the small angle approximation. Atmos Oceanic Opt 18 (2005) 32-37
12. Budak V.P., and Sarmin S.E. Solution of the radiation transfer equation by the method of spherical harmonics in the small-angle modification. Atmos Oceanic Opt 3 (1990) 898-904
13. Budak V.P., and Veklenko B.B. Polarization of light field generated by a point unidirectional source in a turbid anisotropically scattering medium. Atmos Oceanic Opt 15 (2002) 790-794
14. Romanova L.M. Solution of the radiative transfer equation in the case of scattering phase function greatly differs from a spherical one. Opt Spectrosc 13 (1962) 429-435 [in Russian]
15. Irvine W.M. Diffuse reflection and transmission by cloud and dust layers. J Quant Spectrosc Radiat Transf 8 (1968) 471-485
16. Kuščer I., and Ribarič M. Matrix formalism in the theory of diffusion of light. Opt Acta 6 (1959) 42-51
17. Budak V.P., and Korkin S.V. The vectorial radiative transfer equation problem in the small angle modification of the spherical harmonics method with the determination of the solution smooth part. Proc SPIE 6408 (2006) 1I-1-1I-8
18. Siewert C.E. A discrete-ordinates solution for radiative-transfer models that include polarization effects. J Quant Spectrosc Radiat Transf 64 (2000) 227-254