Markov chain formalism for polarized light transfer in plane-parallel atmospheres, with numerical comparison to the Monte Carlo method

Optics Express

Volumn 19, Issue 2, 2011, Pages 946-967

  Xu, Feng ^a   Davis, Anthony B ^a   West, Robert A ^a   Esposito, Larry W ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; NUMERICAL METHODS;

DIFFUSE REFLECTION; IN-PLANE; INHOMOGENEOUS ATMOSPHERE; MARKOV CHAIN; NUMERICAL COMPARISON; NUMERICAL RESULTS; POLARIZED LIGHT; RAYLEIGH; SUB-LAYERS;

MONTE CARLO METHODS;

ARTICLE; ATMOSPHERE; COMPUTER SIMULATION; LIGHT; METHODOLOGY; MONTE CARLO METHOD; PROBABILITY; RADIATION SCATTERING; REFRACTOMETRY; STATISTICAL MODEL;

ATMOSPHERE; COMPUTER SIMULATION; LIGHT; MARKOV CHAINS; MODELS, STATISTICAL; MONTE CARLO METHOD; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 78751516311     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.000946     Document Type: Article

References (26)

1. L. W. Esposito, and L. L. House, "Radiative transfer calculated by a Markov chain formalism," Astrophys. J. 219, 1058-1067 (1978).
2. L. W. Esposito, "An 'adding' algorithm for the Markov chain formalism for radiation transfer," Astrophys. J. 233, 661-663 (1979).
3. J. E. Hansen, and L. D. Travis, "Light scattering in planetary atmospheres," Space Sci. Rev. 16(4), 527-610 (1974).
4. K. F. Evans, and G. L. Stephens, "A new polarized atmospheric radiative transfer model," J. Quant. Spectrosc. Radiat. Transf. 46(5), 413-423 (1991).
5. Q. L. Min, and M. Duan, "A successive order of scattering model for solving vector radiative transfer in the atmosphere," J. Quant. Spectrosc. Radiat. Transf. 87(3-4), 243-259 (2004).
6. S. Y. Kotchenova, E. F. Vermote, R. Matarrese, and F. J. Klemm, Jr., "Validation of a vector version of the 6S radiative transfer code for atmospheric correction of satellite data. Part I: path radiance," Appl. Opt. 45(26), 6762-6774 (2006).
7. P. W. Zhai, Y. Hu, C. R. Trepte, and P. L. Lucker, "A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method," Opt. Express 17(4), 2057-2079 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-4-2057.
8. J. H. Hannay, "Radiative transfer: exact Rayleigh scattering series and a daylight formula," J. Opt. Soc. Am. A 26(3), 669-675 (2009).
9. F. Weng, "A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogeneous, emitting and scattering atmosphere-I. Theory," J. Quant. Spectrosc. Radiat. Transf. 47(1), 19-33 (1992).
10. R. J. D. Spurr, "VLIDORT: A linearized pseudo-spherical vector discrete ordinate radiative transfer code for forward model and retrieval studies in multilayer multiple scattering media," J. Quant. Spectrosc. Radiat. Transf. 102(2), 316-342 (2006).
11. F. M. Schulz, K. Stamnes, and F. Weng, "VDISORT, an improved and generalized discrete ordinate method for polarized (vector) radiative transfer," J. Quant. Spectrosc. Radiat. Transf. 61(1), 105-122 (1999).
12. J. V. Dave, "Intensity and polarization of the radiation emerging from a plane-parallel atmosphere containing monodispersed aerosols," Appl. Opt. 9(12), 2673-2684 (1970).
13. J. W. Hovenier, "Symmetry relations for scattering of polarized light in a slab of randomly oriented particles," J. Atmos. Sci. 26(3), 488-499 (1969).
14. C. E. Siewert, "On the phase matrix basic to the scattering of polarized light," Astron. Astrophys. 109, 195-200 (1982).
15. J. W. Hovenier, and C. V. M. van der Mee, "Basic Relationships for Matrices Describing Scattering by Small Particles", in Light Scattering by Nonspherical Particles, pp. 61-85, M. Mishchenko, J. W. Hovenier and L. Travis, (eds.), Academic Press, San Diego, 2000.
16. 2 spectroscopy," J. Quant. Spectrosc. Radiat. Transf.
17. A. A. Kokhanovsky, V. P. Budak, C. Cornet, M. Duan, C. Emde, I. L. Katsev, D. A. Klyukov, S. V. Korkin, L. C-Labonnote, and B. Mayer, "Benchmark results in vector atmospheric radiative transfer," J. Quant. Spectrosc. Radiat. Transf. 111(12-13), 1931-1946 (2010).
18. G. Marchuk, G. Mikhailov, N. Nazaraliev, R. Darbinjan, B. Kargin, and B. Elepov, The Monte Carlo Methods in Atmospheric Optics, Springer-Verlag, New-York, NY (1980).
19. K. F. Evans, and A. Marshak, "Numerical Methods," in 3D Radiative Transfer in Cloudy Atmospheres, pp. 243-281, A. Marshak and A. B. Davis (eds.), Springer, Heidelberg, Germany (2005).
20. A. A. Kokhanovsky, J. L. Deuzé, D. J. Diner, O. Dubovik, F. Ducos, C. Emde, M. J. Garay, R. G. Grainger, A. Heckel, M. Herman, I. L. Katsev, J. Keller, R. Levy, P. R. J. North, A. S. Prikhach, V. V. Rozanov, A. M. Sayer, Y. Ota, D. Tanré, G. E. Thomas, and E. P. ZegeA. A. Kokhanovsky, J. L. Deuzé, D. J. Diner, O. Dubovik, F. Ducos, C. Emde, M. J. Garay, R. G. Grainger, A. Heckel, M. Herman, I. L. Katsev, J. Keller, R. Levy, P. R. J. North, A. S. Prikhach, V. V. Rozanov, A. M. Sayer, Y. Ota, D. Tanré, G. E. Thomas, and E. P. Zege, "The inter-comparison of major satellite aerosol retrieval algorithms using simulated intensity and polarization characteristics of reflected light," Atm. Meas. Techn. 3, 909-932 (2010).
21. D. J. Diner, J. C. Beckert, T. H. Reilly, C. J. Bruegge, J. E. Conel, R. A. Kahn, J. V. Martonchik, T. P. Ackerman, R. Davies, S. A. W. Gerstl, H. R. Gordon, J. Muller, R. B. Myneni, P. J. Sellers, B. Pinty, and M. M. Verstraete, "Multi-angle Imaging Spectro-Radiometer (MISR) instrument description and experiment overview," IEEE Trans. Geosci. Rem. Sens. 36(4), 1072-1087 (1998).
22. P. Y. Deschamps, F. M. Breon, M. Leroy, A. Podaire, A. Bricaud, J. C. Buriez, and G. Seze, "The POLDER mission: Instrument characteristics and scientific objectives," IEEE Trans. Geosci. Rem. Sens. 32(3), 598-615 (1994).
23. M. I. Mishchenko, B. Cairns, G. Kopp, C. F. Schueler, B. A. Fafaul, J. E. Hansen, R. J. Hooker, T. Itchkawich, H. B. Maring, and L. D. Travis, "Accurate monitoring of terrestrial aerosols and total solar irradiance: Introducing the Glory mission," Bull. Am. Meteorol. Soc. 88(5), 677-691 (2007).
24. D. Crisp, R. Atlas, F. Breon, L. Brown, J. Burrows, P. Ciais, B. Connor, S. Doney, I. Fung, and D. Jacob, "The Orbiting Carbon Observatory (OCO) mission," Adv. Space Res. 34(4), 700-709 (2004).
25. 2 column retrieval from polarization sensitive instruments," J. Quant. Spectrosc. Radiat. Transf. 103(2), 245-259 (2007).
26. V. Natraj, and R. J. D. Spurr, "A fast linearized pseudo-spherical two orders of scattering model to account for polarization in vertically inhomogeneous scattering-absorbing media," J. Quant. Spectrosc. Radiat. Transf. 107(2), 263-293 (2007).