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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 23 — Aug. 10, 2006
  • pp: 5993–6006

Efficient vector radiative transfer calculations in vertically inhomogeneous cloudy atmospheres

Bastiaan van Diedenhoven, Otto P. Hasekamp, and Jochen Landgraf  »View Author Affiliations


Applied Optics, Vol. 45, Issue 23, pp. 5993-6006 (2006)
http://dx.doi.org/10.1364/AO.45.005993


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Abstract

Accurate radiative transfer calculations in cloudy atmospheres are generally time consuming, limiting their practical use in satellite remote sensing applications. We present a model to efficiently calculate the radiative transfer of polarized light in atmospheres that contain homogeneous cloud layers. This model combines the Gauss–Seidel method, which is efficient for inhomogeneous cloudless atmospheres, with the doubling method, which is efficient for homogeneous cloud layers. Additionally to reduce the computational effort for radiative transfer calculations in absorption bands, the cloud reflection and transmission matrices are interpolated over the absorption and scattering optical thicknesses within the cloud layer. We demonstrate that the proposed radiative transfer model in combination with this interpolation technique is efficient for the simulation of satellite measurements for inhomogeneous atmospheres containing one homogeneous cloud layer. For example, the Scanning Imaging Absorption Spectrometer for Atmospheric Cartography (SCIAMACHY) measurements in the oxygen A band ( 758 773   nm ) and the Hartley–Huggins ozone band ( 295 335   nm ) with a spectral resolution of 0.4   nm can be simulated for these atmospheres within 1 min on a 2 .8   GHz PC with an accuracy better than 0 .1% .

© 2006 Optical Society of America

OCIS Codes
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(280.1310) Remote sensing and sensors : Atmospheric scattering
(290.1090) Scattering : Aerosol and cloud effects
(290.1350) Scattering : Backscattering

History
Original Manuscript: January 4, 2006
Manuscript Accepted: February 17, 2006

Citation
Bastiaan van Diedenhoven, Otto P. Hasekamp, and Jochen Landgraf, "Efficient vector radiative transfer calculations in vertically inhomogeneous cloudy atmospheres," Appl. Opt. 45, 5993-6006 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-23-5993


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References

  1. J. P. Burrows, M. Weber, M. Buchwitz, V. Rozanov, A. Ladstätter-Weißenmayer, A. Richter, R. de Beek, R. Hoogen, K. Bramstedt, K. Eichmann, M. Eisinger, and D. Perner, "The Global Ozone Monitoring Experiment (GOME): mission concept and first scientific results," J. Atmos. Sci. 56, 151-175 (1999). [CrossRef]
  2. H. Bovensmann, J. P. Burrows, M. Buchwitz, J. Frerick, S. Noel, V. V. Rozanov, K. V. Chance, and A. P. H. Goede, "SCIAMACHY: mission objectives and measurement modes," J. Atmos. Sci. 56, 127-150 (1999). [CrossRef]
  3. P. F. Levelt, G. H. Oord, E. Hilsenrath, P. K. Bhartia, G. W. Leppelmeier, and A. Malkki, "Science goals of EOS-aura's Ozone Monitoring Instrument (OMI)," EOS Trans. AGU 84, Fall Meet. Suppl., Abstract A12C-03 (2003).
  4. J. M Krijger, M. van Weele, I. Aben, and R. Frey, "The effect of sensor resolution on the number of cloud-free observations from space," Atm. Chem. Phys. Discuss. 6, 4465-4494 (2006).
  5. A. M. Thompson, D. P. McNamara, K. E. Pickering, and R. D. McPeters, "Effect of marine stratocumulus on TOMS ozone," J. Geophys. Res. [Atmos.] 98, 23051-23057 (1993). [CrossRef]
  6. R. B. A. Koelemeijer and P. Stammes, "Effects of clouds on ozone column retrieval from GOME UV measurements," J. Geophys. Res. [Atmos.] 104, 8281-8294 (1999). [CrossRef]
  7. T. Kurosu, V. V. Rozanov, and J. P. Burrows, "Parameterization schemes for terrestrial water clouds in the radiative transfer model GOMETRAN," J. Geophys. Res. [Atmos.] 102, 21809-21824 (1997). [CrossRef]
  8. A. A. Kokhanovsky, "Reflection of light from nonasbsorbing semi-infinite cloudy media: a simple approximation," J. Quant. Spectrosc. Radiat. Transfer 85, 25-33 (2004). [CrossRef]
  9. R. B. A. Koelemeijer, P. Stammes, J. W. Hovenier, and J. F. de Haan, "A fast method for retrieval of cloud parameters using oxygen A band measurements from the Global Ozone Monitoring Experiment," J. Geophys. Res. [Atmos.] 106, 3475-3490 (2001). [CrossRef]
  10. X. Liu, M. J. Newchurch, R. Loughman, and P. K. Bhartia, "Errors resulting from assuming opaque Lambertian clouds in TOMS ozone retrieval," J. Quant. Spectrosc. Radiat. Transfer 85, 337-365 (2004). [CrossRef]
  11. Z. Ahmad, P. K. Bhartia, and N. Krotkov, "Spectral properties of backscattered UV radiation in cloudy atmospheres," J. Geophys. Res. [Atmos.] 109, D01201, doi: (2004). [CrossRef]
  12. J. Fischer and H. Grassl, "Detection of cloud-top height from backscattered radiances within the oxygen A band. Part 1: Theoretical study," J. Appl. Meteorol. 30, 1245-1259 (1991). [CrossRef]
  13. J. S. Daniel, S. Solomon, H. L. Miller, A. O. Langford, R. W. Portmann, and C. S. Eubank, "Retrieving cloud information from passive measurements of solar radiation absorbed by molecular oxygen and O2-O2," J. Geophys. Res. [Atmos.] 108, D16, 4515, doi: (2003). [CrossRef]
  14. V. V. Rozanov and A. A. Kokhanovsky, "Semianalytical cloud retrieval algorithm as applied to the cloud top altitude and the cloud geometrical thickness determination from top-of-atmosphere reflectance measurements in the oxygen A band," J. Geophys. Res. [Atmos.] 109, D05202, doi: (2004). [CrossRef]
  15. M. Wang and M. D. King, "Correction of Rayleigh scattering effects in cloud optical thickness retrievals," J. Geophys. Res. [Atmos.] 102, 25915-25926 (1997). [CrossRef]
  16. J. E. Hansen, "Multiple scattering of polarized light in planetary atmospheres. Part II. Sunlight reflected by terrestrial water clouds," J. Atmos. Sci. 28, 1400-1426 (1971). [CrossRef]
  17. K. Liou, Radiation and Cloud Processes in the Atmosphere (Oxford U. Press, 1992).
  18. D. M. Stam, J. F. De Haan, J. W. Hovenier, and I. Aben, "Detecting radiances in the O2 A band using polarization-sensitive satellite instruments with application to the Global Ozone Monitoring Experiment," J. Geophys. Res. 105(D17), 22379-22392 (2000). [CrossRef]
  19. A. Kokhanovsky and R. Weichert, "Determination of the droplet effective size and optical depth of cloudy media from polarimetric measurements: theory," Appl. Opt. 41, 3650-3658 (2002). [CrossRef] [PubMed]
  20. 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. Remote Sens. 32, 598-615 (1994). [CrossRef]
  21. M. I. Mishchenko, B. Cairns, J. E. Hansen, L. D. Travis, R. Burg, Y. J. Kaufman, J. Vanderlei Martins, and E. P. Shettle, "Monitoring of aerosol forcing of climate from space: analysis of measurement requirements," J. Quant. Spectrosc. Radiat. Transfer 88, 149-161 (2004). [CrossRef]
  22. F. Parol, J. C. Buriez, C. Vanbauce, J. Riedi, L. C. Labonnote, M. Doutriaux-Boucher, M. Vesperini, G. Sèze, P. Couvert, M. Viollier, and F. M. Bréon, "Review of capabilities of multi-angle and polarization cloud measurements from POLDER," Adv. Space Res. 33, 1080-1088 (2004). [CrossRef]
  23. J. F. de Haan, P. Bosma, and J. W. Hovenier, "The adding method for multiple scattering calculations of polarized light," Astron. Astrophys. 181, 371-391 (1987).
  24. O. P. Hasekamp and J. Landgraf, "A linearized vector radiative transfer model for atmospheric trace gas retrieval," J. Quant. Spectrosc. Radiat. Transfer 75, 221-238 (2002). [CrossRef]
  25. 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. Transfer 61, 105-122 (1999). [CrossRef]
  26. A. A. Kokhanovsky, "Reflection and transmission of polarized light by optically thick weakly absorbing random media," J. Opt. Soc. Am. A 18, 883-887 (2001). [CrossRef]
  27. A. A. Kokhanovsky and V. V. Rozanov, "The physical parameterization of the top-of-atmosphere reflection function for a cloudy atmosphere-underlying surface system: the oxygen A-band case study," J. Quant. Spectrosc. Radiat. Transfer 85, 35-55 (2004). [CrossRef]
  28. S. Chandrasekhar, Radiative Transfer (Dover, 1960).
  29. J. W. Hovenier and C. V. M. van der Mee, "Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere," Astron. Astrophys. 128, 1-16 (1983).
  30. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN. The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992).
  31. B. Herman and S. Browning, "A numerical solution to the equation of radiative transfer," J. Atmos. Sci. 22, 559-566 (1965). [CrossRef]
  32. J. Landgraf, O. P. Hasekamp, T. Trautmann, and M. A. Box, "A linearized radiative transfer model for ozone profile retrieval using the analytical forward-adjoint perturbation theory approach," J. Geophys. Res. [Atmos.] 106, 27291-27306 (2001). [CrossRef]
  33. O. P. Hasekamp, "Ozone profile retrieval from satellite measurements of backscattered sunlight," Ph.D. thesis (Free University of Amsterdam, 2002).
  34. J. E. Hansen, "Multiple scattering of polarized light in planetary atmospheres. Part I. The doubling method," J. Atmos. Sci. 28, 120-125 (1971). [CrossRef]
  35. B. M. Herman, W. Asous, and S. R. Browning, "A semi-analytic technique to integrate the radiative transfer equation over optical depth," J. Atmos. Sci. 37, 1828-1838 (1980). [CrossRef]
  36. J. W. Hovenier, "Multiple scattering of polarized light in planetary atmospheres," Astron. Astrophys. 13, 7-29 (1971).
  37. G. P. Anderson, S. A. Clough, F. X. Kneizys, J. H. Chetwynd, and E. P. Shettle, AFGL Atmospheric Constituent Profiles (0.120 km), Report AFGL-TR-0208 (Environemental Research Papers, 1986).
  38. T. Nakajima and M. Tanaka, "Algorithms for radiative intensity calculations in moderately thick atmospheres using a truncation approximation," J. Quant. Spectrosc. Radiat. Transfer 40, 51-69 (1988).
  39. M. I. Mishchenko, "The fast invariant imbedding method for polarized light--computational aspects and numerical results for Rayleigh scattering," J. Quant. Spectrosc. Radiat. Transfer 43, 163-171 (1990). [CrossRef]
  40. M. D. King, "Number of terms required in the Fourier expansion of the reflection function for optically thick atmospheres," J. Quant. Spectrosc. Radiat. Transfer 30, 143-161 (1983). [CrossRef]
  41. W. J. J. Knibbe, J. F. de Haan, J. W. Hovenier, D. M. Stam, R. B. A. Koelemeijer, and P. Stammes, "Deriving terrestrial cloud top pressure from photopolarimetry of reflected light," J. Quant. Spectrosc. Radiat. Transfer 64, 173-199 (2000). [CrossRef]
  42. R. Bennartz and J. Fischer, "A modified k-distribution approach applied to narrow band water vapour and oxygen absorption estimates in the near infrared," J. Quant. Spectrosc. Radiat. Transfer 66, 539-553 (2000). [CrossRef]
  43. M. Duan, Q. Min, and J. Li, "A fast radiative transfer model for simulating high-resolution absorption bands," J. Geophys. Res. 110, D15201, doi: (2005). [CrossRef]
  44. L. S. Rothman, D. Jacquemart, A. Barbe, D. C. Benner, M. Birk, L. R. Brown, M. R. Carleer, C. Chackerian, K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J. M. Flaud, R. R. Gamache, A. Goldman, J. M. Hartmann, K. W. Jucks, A. G. Maki, J. Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, "The HITRAN 2004 molecular spectroscopic database," J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005). [CrossRef]
  45. O. Hasekamp and J. Landgraf, "Ozone profile retrieval from backscattered ultraviolet radiances: the inverse problem solved by regularization," J. Geophys. Res. [Atmos.] 106, 8077-8088 (2001). [CrossRef]
  46. A. M. Bass and R. J. Paur, "The ultraviolet cross-sections of ozone. I. The measurements. II. Results and temperature dependence," in Atmospheric Ozone: Proceedings of the Quadrennial (D. Reidel, Dordrecht, The Netherlands, 1985), pp. 606-616. [CrossRef]
  47. O. P. Hasekamp, J. Landgraf, and R. van Oss, "The need of polarization modeling for ozone profile retrieval from backscattered sunlight," J. Geophys. Res. [Atmos.] 107, doi: (2002). [CrossRef]
  48. B. van Diedenhoven, O. P. Hasekamp, and I. Aben, "Surface pressure retrieval from SCIAMACHY measurements in the O2 A band: validation of the measurements and sensitivity on aerosols," Atmos. Chem. Phys. 5, 2109-2120 (2005). [CrossRef]
  49. P. Stammes, J. F. de Haan, and J. W. Hovenier, "The polarized internal radiation field of a planetary atmosphere," Astron. Astrophys. 225, 239-259 (1989).
  50. O. P. Hasekamp and J. Landgraf, "Linearization of vector radiative transfer with respect to aerosol properties and its use in satellite remote sensing," J. Geophys. Res. 110, D04203, doi: (2005). [CrossRef]

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