T. Z. Muldashev, A. I. Lyapustin, 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).

[CrossRef]

K. F. Evans, “The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer,” J. Atmos. Sci. 55, 429–446 (1998).

[CrossRef]

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

R. B. Myneni, G. Asrar, “Radiative transfer in three-dimensional atmosphere-vegetation media,” J. Quant. Spectrosc. Radiat. Transfer 49, 585–598 (1993).

[CrossRef]

H. Rahman, B. Pinty, 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).

[CrossRef]

K. Stamnes, S. C. Tsay, W. Wiscombe, K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media,” Appl. Opt. 27, 2502–2509 (1988).

[CrossRef]
[PubMed]

T. Nakajima, M. Tanaka, “Algorithm for radiative intensity calculations in moderately thick atmospheres using a truncation approximation,” J. Quant. Spectrosc. Radiat. Transfer 40, 51–69 (1988).

[CrossRef]

A. H. Karp, “Computing the angular dependence of the radiation of a planetary atmosphere,” J. Quant. Spectrosc. Radiat. Transfer 25, 403–412 (1981).

[CrossRef]

R. B. Myneni, G. Asrar, “Radiative transfer in three-dimensional atmosphere-vegetation media,” J. Quant. Spectrosc. Radiat. Transfer 49, 585–598 (1993).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

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).

O. Engelsen, B. Pinty, M. M. Verstraete, J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).

K. F. Evans, “The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer,” J. Atmos. Sci. 55, 429–446 (1998).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

A. H. Karp, “Computing the angular dependence of the radiation of a planetary atmosphere,” J. Quant. Spectrosc. Radiat. Transfer 25, 403–412 (1981).

[CrossRef]

A. Lyapustin, Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. II. Spatially heterogeneous anisotropic surface,” Appl. Opt. 41, 5600–5606 (2002).

[CrossRef]
[PubMed]

A. Lyapustin, Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. I. Homogeneous non-Lambertian surface,” Appl. Opt. 40, 3495–3501 (2001).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

V. Kourganoff, Basic Methods in Transfer Problems, Radiative Equilibrium and Neutron Diffusion (Dover, New York, 1963).

I. Laszlo, National Oceanic and Atmospheric Administration, and W. Wiscombe, NASA Goddard Space Flight Center (personal communications, 2001).

A. I. Lyapustin, T. Z. Muldashev, “Solution for atmospheric optical transfer function using spherical harmonics method,” J. Quant. Spectrosc. Radiat. Transfer 68, 43–56 (2001).

[CrossRef]

T. Z. Muldashev, A. I. Lyapustin, 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).

[CrossRef]

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

O. Engelsen, B. Pinty, M. M. Verstraete, J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

A. I. Lyapustin, T. Z. Muldashev, “Solution for atmospheric optical transfer function using spherical harmonics method,” J. Quant. Spectrosc. Radiat. Transfer 68, 43–56 (2001).

[CrossRef]

T. Z. Muldashev, A. I. Lyapustin, 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).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

R. B. Myneni, G. Asrar, “Radiative transfer in three-dimensional atmosphere-vegetation media,” J. Quant. Spectrosc. Radiat. Transfer 49, 585–598 (1993).

[CrossRef]

T. Nakajima, M. Tanaka, “Algorithm for radiative intensity calculations in moderately thick atmospheres using a truncation approximation,” J. Quant. Spectrosc. Radiat. Transfer 40, 51–69 (1988).

[CrossRef]

H. Rahman, B. Pinty, 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).

[CrossRef]

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

O. Engelsen, B. Pinty, M. M. Verstraete, J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).

H. Rahman, B. Pinty, 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).

[CrossRef]

T. Z. Muldashev, A. I. Lyapustin, 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).

[CrossRef]

T. Nakajima, M. Tanaka, “Algorithm for radiative intensity calculations in moderately thick atmospheres using a truncation approximation,” J. Quant. Spectrosc. Radiat. Transfer 40, 51–69 (1988).

[CrossRef]

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

H. Rahman, B. Pinty, 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).

[CrossRef]

O. Engelsen, B. Pinty, M. M. Verstraete, J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

K. Stamnes, S. C. Tsay, W. Wiscombe, K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media,” Appl. Opt. 27, 2502–2509 (1988).

[CrossRef]
[PubMed]

K. Stamnes, S. C. Tsay, W. Wiscombe, K. Jayaweera, “Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media,” Appl. Opt. 27, 2502–2509 (1988).

[CrossRef]
[PubMed]

A. Lyapustin, Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. I. Homogeneous non-Lambertian surface,” Appl. Opt. 40, 3495–3501 (2001).

[CrossRef]

A. Lyapustin, Yu. Knyazikhin, “Green’s function method in the radiative transfer problem. II. Spatially heterogeneous anisotropic surface,” Appl. Opt. 41, 5600–5606 (2002).

[CrossRef]
[PubMed]

E. F. Vermote, D. Tanre, J. L. Deuze, M. Herman, 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).

[CrossRef]

K. F. Evans, “The spherical harmonics discrete ordinate method for three-dimensional atmospheric radiative transfer,” J. Atmos. Sci. 55, 429–446 (1998).

[CrossRef]

H. Rahman, B. Pinty, 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).

[CrossRef]

T. Z. Muldashev, A. I. Lyapustin, 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).

[CrossRef]

A. H. Karp, “Computing the angular dependence of the radiation of a planetary atmosphere,” J. Quant. Spectrosc. Radiat. Transfer 25, 403–412 (1981).

[CrossRef]

T. Nakajima, M. Tanaka, “Algorithm for radiative intensity calculations in moderately thick atmospheres using a truncation approximation,” J. Quant. Spectrosc. Radiat. Transfer 40, 51–69 (1988).

[CrossRef]

R. B. Myneni, G. Asrar, “Radiative transfer in three-dimensional atmosphere-vegetation media,” J. Quant. Spectrosc. Radiat. Transfer 49, 585–598 (1993).

[CrossRef]

A. I. Lyapustin, T. Z. Muldashev, “Solution for atmospheric optical transfer function using spherical harmonics method,” J. Quant. Spectrosc. Radiat. Transfer 68, 43–56 (2001).

[CrossRef]

A. Marshak, A. Davis, R. Cahalan, W. Wiscombe, “Bounded cascades as nonstationary multifractals,” Phys. Rev. E 49, 55–67 (1994).

[CrossRef]

O. Engelsen, B. Pinty, M. M. Verstraete, J. V. Martonchik, “Parametric bidirectional reflectance factor models: Evaluation, improvements and applications,” European Report 16426 EN, (Space Application Institute, Ispra, Italy, 1996).

D. J. Diner, J. V. Martonchik, C. Borel, S. A. W. Gerstl, H. R. Gordon, Yu. Knyazikhin, R. Myneni, B. Pinty, M. M. Verstraete, “MISR level 2 surface retrieval algorithm theoretical basis,” NASA EOS-MISR Doc., JPL D-11401, Rev. D, NASA JPL1999).

I. Laszlo, National Oceanic and Atmospheric Administration, and W. Wiscombe, NASA Goddard Space Flight Center (personal communications, 2001).

V. Kourganoff, Basic Methods in Transfer Problems, Radiative Equilibrium and Neutron Diffusion (Dover, New York, 1963).

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).