OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 27 — Sep. 20, 2002
  • pp: 5607–5615

Radiative Transfer Code SHARM-3D for Radiance Simulations over a non-Lambertian Nonhomogeneous Surface: Intercomparison Study

Alexei Lyapustin  »View Author Affiliations

Applied Optics, Vol. 41, Issue 27, pp. 5607-5615 (2002)

View Full Text Article

Acrobat PDF (1616 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Results of an extensive validation study of the new radiative transfer code SHARM-3D are described. The code is designed for modeling of unpolarized monochromatic radiative transfer in the visible and near-IR spectra in the laterally uniform atmosphere over an arbitrarily inhomogeneous anisotropic surface. The surface boundary condition is periodic. The algorithm is based on an exact solution derived with the Green’s function method. Several parameterizations were introduced into the algorithm to achieve superior performance. As a result, SHARM-3D is 2–3 orders of magnitude faster than the rigorous code SHDOM. It can model radiances over large surface scenes for a number of incidence-view geometries simultaneously. Extensive comparisons against SHDOM indicate that SHARM-3D has an average accuracy of better than 1%, which along with the high speed of calculations makes it a unique tool for remote-sensing applications in land surface and related atmospheric radiation studies.

© 2002 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(010.1320) Atmospheric and oceanic optics : Atmospheric transmittance
(290.4210) Scattering : Multiple scattering

Alexei Lyapustin, "Radiative Transfer Code SHARM-3D for Radiance Simulations over a non-Lambertian Nonhomogeneous Surface: Intercomparison Study," Appl. Opt. 41, 5607-5615 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. A. Lyapustin and Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. I. Homogeneous non-Lambertian surface,” Appl. Opt. 40, 3495–3501 (2001).
  2. A. Lyapustin and Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. II. Spatially heterogeneous anisotropic surface,” Appl. Opt. 41, 5600–5606 (2002).
  3. K. F. Evans, “The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer,” J. Atmos. Sci. 55, 429–446 (1998).
  4. K. Stamnes, S. C. Tsay, W. Wiscombe, and K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media,” Appl. Opt. 27, 2502–2509 (1988).
  5. E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, and J.-J. Mocrette, “Second simulation of the satellite signal in the solar spectrum, 6S: an overview,” IEEE Trans. Geosci. Remote Sens. 35, 675–686 (1997).
  6. H. Rahman, B. Pinty, and M. M. Verstraete, “Coupled surface-atmosphere reflectance (CSAR) model. 2. Semiempirical surface model usable with NOAA advanced very high resolution radiometer data,” J. Geophys. Res. 98, 20,791–20,801 (1993).
  7. L. Elterman, “UV, visible and IR attenuation for altitudes to 50 km,” Environmental Research Paper NTIS-AD 671933 (U.S. Air Force Cambridge Research Laboratory, Bedford, Mass., 1968).
  8. T. Z. Muldashev, A. I. Lyapustin, and U. M. Sultangazin, “Spherical harmonics method in the problem of radiative transfer in the atmosphere-surface system,” J. Quant. Spectrosc. Radiat. Transfer 60, 393–404 (1999).
  9. V. Kourganoff, Basic Methods in Transfer Problems, Radiative Equilibrium and Neutron Diffusion (Dover, New York, 1963).
  10. A. H. Karp, “Computing the angular dependence of the radiation of a planetary atmosphere,” J. Quant. Spectrosc. Radiat. Transfer 25, 403–412 (1981).
  11. T. Nakajima and M. Tanaka, “Algorithm for radiative intensity calculations in moderately thick atmospheres using a truncation approximation,” J. Quant. Spectrosc. Radiat. Transfer 40, 51–69 (1988).
  12. R. B. Myneni and G. Asrar, “Radiative transfer in three-dimensional atmosphere-vegetation media,” J. Quant. Spectrosc. Radiat. Transfer 49, 585–598 (1993).
  13. I. Laszlo, National Oceanic and Atmospheric Administration, and W. Wiscombe, NASA Goddard Space Flight Center (personal communications, 2001).
  14. A. Marshak, A. Davis, R. Cahalan, and W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).
  15. A. I. Lyapustin and T. Z. Muldashev, “Solution for atmospheric optical transfer function using spherical harmonics method,” J. Quant. Spectrosc. Radiat. Transfer 68, 43–56 (2001).
  16. O. Engelsen, B. Pinty, M. M. Verstraete, and J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).
  17. D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, and M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL 1999).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited