Radiative transfer with internal reflection via the converged discrete ordinates method

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 112, Issue 4, 2011, Pages 693-713

  Ganapol, B D ^a  

^a University of Arizona   (United States)

Author keywords

Convergence acceleration; Discrete ordinates; Radiative transfer

Indexed keywords

CONVERGENCE ACCELERATION; DISCRETE ORDINATES; DISCRETE ORDINATES METHOD; FINITE DIFFERENCE; HETEROGENEOUS MEDIUM; INTERNAL REFLECTIONS; INTERNAL SURFACES; PLANE LAYERS; RADIATIVE TRANSFER EQUATIONS;

FORWARD SCATTERING; RADIATIVE TRANSFER;

ACCELERATION;

FINITE DIFFERENCE METHOD; NUMERICAL MODEL; RADIATIVE TRANSFER;

EID: 78751581963     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2010.03.014     Document Type: Article

References (18)

1. Ganapol B., Johnson L.F., et al. LCM2: a coupled leaf/canopy radiative transfer model. Rem Sens Environ 1999, 70:153-166.
2. Chandrasekhar S.A. Radiative transfer 1950, Oxford Press, London.
3. Carlson BG, Bell GI. Solution of the transport equation by the Sn method, P/2386. In: Proceedings of the second international conference on the peaceful uses of atomic energy, vol. 16; 1958. p. 535.
4. Siewert C.E. A concise and accurate solution to Chandrasekhar's basic problem in radiative transfer. J Quant Spec Radiat Trans 2000, 64:109-130.
5. Siewert C.E. A note on radiative transfer in a finite layer. J Phys A Math and Theor 2007, 40:1785-1789.
6. Stamnes K., Tsay S.C., Wiscombe W.J., Jayaweera K. Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. Appl Opt 1988, 27:2502-2509.
7. Thomas G.E., Stamnes K. Radiative transfer in the atmosphere and ocean 1999, Cambridge University Press. 2nd ed.
8. Williams M.M.R. On an integral equation arising in the transport radiation through a slab involving internal reflection. Eur Phys J B 2006, 53:245-255.
9. Aronson R. Boundary conditions for diffusion of light. J Opt Soc Am 1995, 486-490.
10. Elias M, Elias G. Radiative transfer in inhomogeneous stratified media with use of the auxiliary function method. J Opt Soc Am A 2004;21:580-9.
11. Born M, Wolf E. Principles of optics. Pergamon, NY, 1964.
12. Davis P.J., Rabinowitz P. Methods of numerical integration 1984, Academic Press, NY.
13. Allan E.J. Application of Richardson extrapolation to numerical solution of the neutron transport equation. Nucl Sci Eng 1988, 99:123-132.
14. Sidi A. Practical extrapolation methods 2003, Cambridge University Press, Cambridge.
15. Krommer A.R., Ueberhuber C.W. Computational integration 1998, SIAM, Phil. PA.
16. Garcia R.D.M., Siewert C.E., Yacout A.M. On the use of Fresnel boundary and interface conditions in radiative-transfer calculations for multilayered media. JQSRT 2008, 109:752-769.
17. Sjöstrand N.G. On an alternative way to treat highly anisotropic scattering. Ann Nucl Energy 2001, 28:351-355.
18. Magnus W., Oberhettinger F. Formulas and theorems for the functions of mathematical physics 1947, Chelsea Publishing Co., NY.