A parametric soil BRDF model: a four stream approximation for multiple scattering

References

• Ahmad , S. P. , and Deering , D. W. , 1992 , A simple analytic function for bidirectional reflectance. Journal of Geophysical Research , 97 , 18867 – 18886 .
   Web of Science ®Google Scholar
• Coulson , K. L. , 1988 , Polarization and Intensity of Light in the Atmosphere , Hampton , Virginia : A. Deepak Publishing.
   Google Scholar
• Deschamps , P. Y. , Breon , F. M. , Leroy , M. , Podaire , A. , Bricaud , A. , Buriez , J. C , and Seze , G. , 1994 , The POLDER misson: Instrument characteristics and scientific objectives. I.E.E.E. Transactions on Geoscience and Remote Sensing , 32 , 598 – 615 .
   Web of Science ®Google Scholar
• Diner , D. J. , Bruegge , C. J. , Martonchik , J. V. , Ackerman , T. P. , Davies , R. , Gerstl , S. A. W. , Gordon , H. R. , Sellers , P. J. , Clark , J. , Damiels , J. A. , Danielson , E. D. , Duval , V. G. , Klaasen , K. P. , Lilienthal , G. W. , Nakamoto , D. I. , Pagano , R. J. , and Reilly , T. H. , 1989 , MISR: a multiangle imaging spectroradiometer for geophysical and climatological research for EOS , I.E.E.E. Transactions on Geosciences and Remote Sensing , 27 , 200 – 214 .
   Web of Science ®Google Scholar
• Hapke , B. W. , 1981 , Bidirectional reflectance spectroscopy 1. Theory. Journal of Geophysical Research , 86 , 3039 – 3054 .
   Web of Science ®Google Scholar
• Hapke , B. , 1986 , Bidirectional reflectance spectroscopy 4: The extinction coefficient and the opposition effect. Icarus , 67 , 264 – 280 .
   Web of Science ®Google Scholar
• Irons , J. R. , Weismiller , R. A. , and Petersen , G. W. , 1989 , Soil reflectance. In Theory and Applications of Optical Remote Sensing , edited by G. Asrar New York : John Wiley, pp. 66 – 106 .
   Google Scholar
• Irons , J. R. , Ranson , K. J. , Williams , D. L. , Irish , R. R. , and Huegel , F. G. , 1991 , An offnadir pointing imaging spectroradiometer for terrestrial ecosystem studies. I.E.E.E. Transactions on Geoscience and Remote Sensing , 29 , 66 – 74 .
   Web of Science ®Google Scholar
• Jacquemoud , S. , Baret , F. , and Hanocq , J. F. , 1992 , Modeling spectral and bidirectional soil reflectance. Remote Sensing of Environment , 41 , 123 – 132 .
   Web of Science ®Google Scholar
• Joseph , J. H. , Wiscombe , W. J. , and Weinman , J. A. , 1976 , The delta-Eddington approximation for radiative flux transfer. Journal of the Atmospheric Science , 33 , 2453 – 2459 .
   Web of Science ®Google Scholar
• Lenoble , J. , 1985 , Radiative Transfer in Scattering and Absorbing Atmospheres: Standard Computational Procedures , Hampton , Virginia : A. Deepak Publishing.
   Google Scholar
• Liang , S. , and Lewis , P. , 1996 , A parametric radiative transfer model for sky radiance distribution. Journal of Quantitative Spectroscopy and Radiative Transfer , in press.
   Web of Science ®Google Scholar
• Liang , S. , and Strahler , A. H. , 1994 , Four-stream solution for atmospheric radiative transfer over an non-Lambertian surface. Applied Optics , 33 , 5745 – 5753 .
   PubMed Web of Science ®Google Scholar
• Liang , S. , and Strahler , A. H. , 1995 , An analytic radiative transfer model for a coupled atmosphere and leaf canopy. Journal of Geophysical Research , 100 , 5085 – 5094 .
   Web of Science ®Google Scholar
• Liang , S. , and Townshend , J. R. G. , 1996 , A modified Hapke model for soil bidirectional reflectance. Remote Sensing of Environment , in press.
   Web of Science ®Google Scholar
• Liou , K. N. , 1974 , Analytic two-stream and four-stream solutions for radiative transfer. Journal of Atmospheric Science , 31 , 1473 – 1475 .
   Web of Science ®Google Scholar
• Mishchenko , M. I. , 1994 , Asymmetry parameters of the phase function for densely packed scattering grains. Journal of Quantitative Spectroscopy and Radiative Transfer , 52 , 95 – 110 .
   Web of Science ®Google Scholar
• Pinty , B. , and Verstraete , M. M. , 1992 , On the design and validation of bidirectional reflectance and albedo models. Remote Sensing of Environment , 41 , 155 – 167 .
   Web of Science ®Google Scholar
• Pinty , B. , Verstraete , M. M. , and Dickson , R. E. , 1989 , A physical model for predicting bidirectional reflectance over bare soil. Remote Sensing of Environment , 27 , 273 – 288 .
   Web of Science ®Google Scholar
• Ranson , K. J. , Biehl , L. L. , and Daughtry , C. S. T. , 1984 , Soybean Canopy Reflectance Modeling Data Sets. , LARS Technical Report 071584, Purdue University, Indiana , U.S.A., 46 pp.
   Google Scholar
• Stamnes , K. , Tsay , S. C. , Wiscombe , W. , and Jayaweera , K. , 1988 , Numerically stable algorithm for discrete-ordmate-method radiative transfer in multiple scattering and emitting layered media. Applied Optics , 27 , 2502 – 2509 .
   PubMed Web of Science ®Google Scholar