Linearization of a scalar matrix operator method radiative transfer model with respect to aerosol and surface properties

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 116, Issue , 2013, Pages 1-16

  Sanghavi, Suniti V ^a   Martonchik, John V ^a   Davis, Anthony B ^a   Diner, David J ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Aerosols; Analytical derivatives; Linearization; Matrix operator method; Optimized inversion; Remote sensing

Indexed keywords

AEROSOL OPTICAL THICKNESS; ANALYTICAL DERIVATIVE; BIMODAL AEROSOL; COARSE MODE; COMPLEX REFRACTIVE INDEX; EXACT METHODS; FINITE DIFFERENCE; JACOBIANS; LAMBERTIAN SURFACES; LOG-NORMAL; MICROPHYSICAL PARAMETERS; NEAR INFRA RED; OCEAN SURFACES; OPERATOR METHOD; OPTICAL THICKNESS; OPTIMIZED INVERSION; RADIATIVE TRANSFER MODEL; REFLECTING SURFACE; RETRIEVAL METHODS; SCALAR MATRIX; STEP SIZE; SURFACE PARAMETER; VIEWING ANGLE;

FINITE DIFFERENCE METHOD; INFRARED DEVICES; JACOBIAN MATRICES; LINEAR ALGEBRA; LINEARIZATION; OPTIMIZATION; RADIATIVE TRANSFER; REFRACTIVE INDEX; REMOTE SENSING; SURFACE PROPERTIES;

AEROSOLS;

AEROSOL; MATRIX; NUMERICAL MODEL; RADIATIVE TRANSFER; REFRACTIVE INDEX; REMOTE SENSING;

LAMBERTIA;

EID: 84871916426     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2012.10.021     Document Type: Article

References (29)

1. Arking A., Potter J. The phase curve of Venus and the nature of its clouds. J Atmos Sci 1968, 25:617-628.
2. Chandrasekhar S. Radiative transfer 1960, Dover Publications, New York.
3. Cox C., Munk W. Measurement of the roughness of the sea surface from photographs of the sun's glitter. J Opt Soc Am 1954, 44(11):838-850.
4. Xu F., Davis A., Sanghavi S., Martonchik J., Diner D. Linearization of markov chain formalism for vector radiative transfer in a plane-parallel atmosphere/surface system. Appl Opt 2012, 51(16):3491-3507.
5. De Rooij W.A., Van der Stap C. Expansion of Mie scattering matrices in generalized spherical functions. Astron Astrophys 1984, 131:237-248.
6. Diner D., Beckert J., Reilly T., Bruegge C., Conel J., Kahn R., et al. Multi-angle Imaging SpectroRadiometer (MISR) instrument description and experiment overview. IEEE Trans Geosci Remote Sensing 1998, 36(4):1072-1087.
7. Diner D., Hodos R., Davis A., Garay M., Martonchik J., Sanghavi S. An optimization approach for aerosol retrievals using simulated MISR radiances. Atmos Res 2012, 116:1-14.
8. Doicu A., Trautmann T., Schreier F. Numerical regularization for atmospheric inverse problems 2010, Springer, New York.
9. Fell F., Fischer J. Numerical simulation of the light field in the atmosphere-ocean system using the matrix-operator method. J Quant Spectrosc Radiat Transfer 2001, 69(3):351-388.
10. Grant I.P., Hunt G.E. Discrete space theory of radiative transfer. I. Fundamentals. Proc R Soc London A Math Phys Sci 1969, 313(1513):183.
11. Grant I.P., Hunt G.E. Discrete space theory of radiative transfer. II. Stability and non-negativity. Proc R Soc London A Math Phys Sci 1969, 313(1513):199.
12. Hansen J.E. Radiative transfer by doubling very thin layers. Astrophys J 1969, 155:565-573.
13. Hasekamp O.P., Landgraf J. Linearization of vector radiative transfer with respect to aerosol properties and its use in satellite remote sensing. J Geophys Res 2005, 110:D04203.
14. Hollstein A., Fischer J. Radiative transfer solutions for coupled atmosphere ocean systems using the matrix operator technique. J Quant Spectrosc Radiat Transfer 2012, 113.
15. Kattawar G., Hitzfelder S., Binstock J. An explicit form of the Mie phase matrix for multiple scattering calculations in the I, Q, U and V representation. J Atmos Sci 1973, 30(2):289-295.
16. Kaufman Y., Martins J., Remer L., Schoeberl M., Yamasoe M. Satellite retrieval of aerosol absorption over the oceans using sunlight. Geophys Res Lett 2002, 29(19):1-34.
17. Lenoble J. Radiative transfer in scattering and absorbing atmospheres. standard computational procedures 1985, A. Deepak Publishing, Hampton, VA, 314 pp.
18. Liu Q., Ruprecht E. Radiative transfer model. matrix operator method. Appl Opt 1996, 35(21):4229-4237.
19. Martonchik J. Sulphuric acid cloud interpretation of the infrared spectrum of Venus. PhD thesis, University of Texas at Austin; 1975.
20. Martonchik J., Diner D., Pinty B., Verstraete M., Myneni R., Knyazikhin Y., et al. Determination of land and ocean reflective, radiative, and biophysical properties using multiangle imaging. IEEE Trans Geosci Remote Sensing 1998, 36(4):1266-1281.
21. Mishchenko M.I., Travis L.D. Satellite retrieval of aerosol properties over the ocean using polarization as well as intensity of reflected sunlight. J Geophys Res 1997, 102(D14). 16989-17.
22. Monahan E.C., O'Muircheartaigh I. Optimal power-law description of oceanic whitecap coverage dependence on windspeed. J Phys Oceanogr 1980, 10:2094-2099.
23. Rahman H., Pinty B., Verstraete M.M., et al. Coupled surface-atmosphere reflectance (CSAR) model, 2. Semiempirical surface model usable with NOAA advanced very high resolution radiometer data. J Geophys Res 1993, 98:20791-20801.
24. Redheffer R. On the relation of transmission-line theory to scattering and transfer. J Math Phys 1962, 41:1-41.
25. Rodgers C.D. Inverse methods for atmospheric sounding. theory and practice 2000, World Scientific, Singapore.
26. Siewert C.E. On the phase matrix basic to the scattering of polarized light. Astron Astrophys 1982, 109:195.
27. Spurr R., Christi M. Linearization of the interaction principle. analytic Jacobians in the radiant model. J Quant Spectrosc Radiat Transfer 2007, 103(3):431-446.
28. Spurr R.J.D., Kurosu T.P., Chance K.V. A linearized discrete ordinate radiative transfer model for atmospheric remote-sensing retrieval. J Quant Spectrosc Radiat Transfer 2001, 68(6):689-735.
29. Tsang L., Kong J.A., Shin R.T. Theory of microwave remote sensing 1985, Wiley, New York.