D. E. Bates and J. N. Porter, “AO3D: a Monte Carlo code for modeling of environmental light propagation,” J. Quant. Spectrosc. Radiat. Transfer 109, 1802-1814 (2008).

[CrossRef]

J. Hedley, “A three-dimensional radiative transfer model for shallow water environments,” Opt. Express 16, 21887-21902(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator-Monte Carlo method,” Appl. Opt. 47, 1063-1071(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method,” Appl. Opt. 47, 1037-1047 (2008).

[CrossRef]
[PubMed]

C. Davis, C. Emde, and R. Harwood, “A 3D polarized reversed Monte Carlo radiative transfer model for millimeter and submillimeter passive remote sensing in cloudy atmospheres,” IEEE Trans. Geosci. Remote Sensing 43, 1096-1101 (2005).

[CrossRef]

Y. Chen, K. N. Liou, and Y. Gu, “An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres,” J. Quant. Spectrosc. Radiat. Transfer 92, 189-200 (2005).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

P. N. Reinersman and K. L. Carder, “Hybrid numerical method for solution of the radiative transfer equation in one, two, or three dimensions,” Appl. Opt. 43, 2734-2743 (2004).

[CrossRef]
[PubMed]

F. Schwenger and E. Repasi, “Sea surface simulation for testing of multiband imaging sensors,” Proc. SPIE 5075, 72-84 (2003).

[CrossRef]

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

J. L. Haferman, T. F. Smith, and W. F. Krajewski, “A multi-dimensional dicrete-ordinates method for polarized radiative transfer. Part I: validation for randomly oriented axisymmetric particles,” J. Quant. Spectrosc. Radiat. Transfer 58, 379-398 (1997).

[CrossRef]

A. Sánchez, T. F. Smith, and W. F. Krajewski, “A three-dimensional atmospheric radiative transfer model based on the discrete-ordinates method,” Atmos. Res. 33, 283-308(1994).

[CrossRef]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

L. G. Stenholm, H. Störzer, and R. Wehrse, “An efficient method for the solution of 3D radiative transfer problems,” J. Quant. Spectrosc. Radiat. Transfer 45, 47-56 (1991).

[CrossRef]

G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1: Rayleigh scattering,” Appl. Opt. 12, 314-329 (1973).

[CrossRef]
[PubMed]

G. W. Kattawar, G. N. Plass, and F. E. Catchings, “Matrix operator theory of radiative transfer. 2: Scattering from maritime haze,” Appl. Opt. 12, 1071-1084 (1973).

[CrossRef]
[PubMed]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Light scattering by cloud layers,” J. Atmos. Sci. 24, 70-79 (1967).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Matrix methods for multiple-scattering problems,” J. Atmos. Sci. 23, 289-298 (1966).

[CrossRef]

L. C. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70-83 (1941).

[CrossRef]

D. E. Bates and J. N. Porter, “AO3D: a Monte Carlo code for modeling of environmental light propagation,” J. Quant. Spectrosc. Radiat. Transfer 109, 1802-1814 (2008).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1: Rayleigh scattering,” Appl. Opt. 12, 314-329 (1973).

[CrossRef]
[PubMed]

G. W. Kattawar, G. N. Plass, and F. E. Catchings, “Matrix operator theory of radiative transfer. 2: Scattering from maritime haze,” Appl. Opt. 12, 1071-1084 (1973).

[CrossRef]
[PubMed]

S. Chandrasekhar, *Radiative Transfer* (Dover, 1960).

T. Dickey and G. Chang, “The Radiance in a Dynamic Ocean (RaDyO) Program,” presented at Ocean Optics XVIII, Montreal, Canada, 9-13 Oct. 2006, http://www.opl.ucsb.edu/radyo/docs/DickeyOOPoster06.pdf.

Y. Chen, K. N. Liou, and Y. Gu, “An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres,” J. Quant. Spectrosc. Radiat. Transfer 92, 189-200 (2005).

[CrossRef]

A. Marshak and A. B. Davis, eds., *3D Radiative Transfer in Cloudy Atmospheres* (Springer, 2005).

[CrossRef]

C. Davis, C. Emde, and R. Harwood, “A 3D polarized reversed Monte Carlo radiative transfer model for millimeter and submillimeter passive remote sensing in cloudy atmospheres,” IEEE Trans. Geosci. Remote Sensing 43, 1096-1101 (2005).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

T. Dickey and G. Chang, “The Radiance in a Dynamic Ocean (RaDyO) Program,” presented at Ocean Optics XVIII, Montreal, Canada, 9-13 Oct. 2006, http://www.opl.ucsb.edu/radyo/docs/DickeyOOPoster06.pdf.

C. Davis, C. Emde, and R. Harwood, “A 3D polarized reversed Monte Carlo radiative transfer model for millimeter and submillimeter passive remote sensing in cloudy atmospheres,” IEEE Trans. Geosci. Remote Sensing 43, 1096-1101 (2005).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

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

[CrossRef]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

L. C. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70-83 (1941).

[CrossRef]

Y. Chen, K. N. Liou, and Y. Gu, “An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres,” J. Quant. Spectrosc. Radiat. Transfer 92, 189-200 (2005).

[CrossRef]

J. L. Haferman, T. F. Smith, and W. F. Krajewski, “A multi-dimensional dicrete-ordinates method for polarized radiative transfer. Part I: validation for randomly oriented axisymmetric particles,” J. Quant. Spectrosc. Radiat. Transfer 58, 379-398 (1997).

[CrossRef]

C. Davis, C. Emde, and R. Harwood, “A 3D polarized reversed Monte Carlo radiative transfer model for millimeter and submillimeter passive remote sensing in cloudy atmospheres,” IEEE Trans. Geosci. Remote Sensing 43, 1096-1101 (2005).

[CrossRef]

L. C. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70-83 (1941).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Light scattering by cloud layers,” J. Atmos. Sci. 24, 70-79 (1967).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Matrix methods for multiple-scattering problems,” J. Atmos. Sci. 23, 289-298 (1966).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Light scattering by cloud layers,” J. Atmos. Sci. 24, 70-79 (1967).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Matrix methods for multiple-scattering problems,” J. Atmos. Sci. 23, 289-298 (1966).

[CrossRef]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator-Monte Carlo method,” Appl. Opt. 47, 1063-1071(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method,” Appl. Opt. 47, 1037-1047 (2008).

[CrossRef]
[PubMed]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1: Rayleigh scattering,” Appl. Opt. 12, 314-329 (1973).

[CrossRef]
[PubMed]

G. W. Kattawar, G. N. Plass, and F. E. Catchings, “Matrix operator theory of radiative transfer. 2: Scattering from maritime haze,” Appl. Opt. 12, 1071-1084 (1973).

[CrossRef]
[PubMed]

J. L. Haferman, T. F. Smith, and W. F. Krajewski, “A multi-dimensional dicrete-ordinates method for polarized radiative transfer. Part I: validation for randomly oriented axisymmetric particles,” J. Quant. Spectrosc. Radiat. Transfer 58, 379-398 (1997).

[CrossRef]

A. Sánchez, T. F. Smith, and W. F. Krajewski, “A three-dimensional atmospheric radiative transfer model based on the discrete-ordinates method,” Atmos. Res. 33, 283-308(1994).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, *Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering* (Cambridge U. Press, 2006).

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

Y. Chen, K. N. Liou, and Y. Gu, “An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres,” J. Quant. Spectrosc. Radiat. Transfer 92, 189-200 (2005).

[CrossRef]

A. Marshak and A. B. Davis, eds., *3D Radiative Transfer in Cloudy Atmospheres* (Springer, 2005).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, *Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering* (Cambridge U. Press, 2006).

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

C. D. Mobley, *Light and Water--Radiative Transfer in Natural Waters* (Academic, 1994).

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

T. J. Petzold, “Volume scattering functions for selected ocean waters,” Technical Report SIO 72-78 (Scripps Institution of Oceanography,1972).

G. W. Kattawar, G. N. Plass, and F. E. Catchings, “Matrix operator theory of radiative transfer. 2: Scattering from maritime haze,” Appl. Opt. 12, 1071-1084 (1973).

[CrossRef]
[PubMed]

G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1: Rayleigh scattering,” Appl. Opt. 12, 314-329 (1973).

[CrossRef]
[PubMed]

D. E. Bates and J. N. Porter, “AO3D: a Monte Carlo code for modeling of environmental light propagation,” J. Quant. Spectrosc. Radiat. Transfer 109, 1802-1814 (2008).

[CrossRef]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

F. Schwenger and E. Repasi, “Sea surface simulation for testing of multiband imaging sensors,” Proc. SPIE 5075, 72-84 (2003).

[CrossRef]

A. Sánchez, T. F. Smith, and W. F. Krajewski, “A three-dimensional atmospheric radiative transfer model based on the discrete-ordinates method,” Atmos. Res. 33, 283-308(1994).

[CrossRef]

F. Schwenger and E. Repasi, “Sea surface simulation for testing of multiband imaging sensors,” Proc. SPIE 5075, 72-84 (2003).

[CrossRef]

J. L. Haferman, T. F. Smith, and W. F. Krajewski, “A multi-dimensional dicrete-ordinates method for polarized radiative transfer. Part I: validation for randomly oriented axisymmetric particles,” J. Quant. Spectrosc. Radiat. Transfer 58, 379-398 (1997).

[CrossRef]

A. Sánchez, T. F. Smith, and W. F. Krajewski, “A three-dimensional atmospheric radiative transfer model based on the discrete-ordinates method,” Atmos. Res. 33, 283-308(1994).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

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).

[CrossRef]
[PubMed]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

L. G. Stenholm, H. Störzer, and R. Wehrse, “An efficient method for the solution of 3D radiative transfer problems,” J. Quant. Spectrosc. Radiat. Transfer 45, 47-56 (1991).

[CrossRef]

L. G. Stenholm, H. Störzer, and R. Wehrse, “An efficient method for the solution of 3D radiative transfer problems,” J. Quant. Spectrosc. Radiat. Transfer 45, 47-56 (1991).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

J. Chowdhary, B. Cairns, and L. D. Travis, “Contribution of water-leaving radiances to multiangle, multispectral polarimetric observations over the open ocean: bio-optical model results for case 1 waters,” Appl. Opt. 45, 5542-5567 (2006).

[CrossRef]
[PubMed]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, *Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering* (Cambridge U. Press, 2006).

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

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).

[CrossRef]
[PubMed]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Light scattering by cloud layers,” J. Atmos. Sci. 24, 70-79 (1967).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Matrix methods for multiple-scattering problems,” J. Atmos. Sci. 23, 289-298 (1966).

[CrossRef]

L. G. Stenholm, H. Störzer, and R. Wehrse, “An efficient method for the solution of 3D radiative transfer problems,” J. Quant. Spectrosc. Radiat. Transfer 45, 47-56 (1991).

[CrossRef]

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

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).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method,” Appl. Opt. 47, 1037-1047 (2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator-Monte Carlo method,” Appl. Opt. 47, 1063-1071(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator-Monte Carlo method,” Appl. Opt. 47, 1063-1071(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method,” Appl. Opt. 47, 1037-1047 (2008).

[CrossRef]
[PubMed]

G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1: Rayleigh scattering,” Appl. Opt. 12, 314-329 (1973).

[CrossRef]
[PubMed]

G. W. Kattawar, G. N. Plass, and F. E. Catchings, “Matrix operator theory of radiative transfer. 2: Scattering from maritime haze,” Appl. Opt. 12, 1071-1084 (1973).

[CrossRef]
[PubMed]

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).

[CrossRef]
[PubMed]

M. Chami, R. Santer, and E. Dilligeard, “Radiative transfer model for the computation of radiance and polarization in an ocean-atmosphere system: polarization properties of suspended matter for remote sensing,” Appl. Opt. 40, 2398-2416 (2001).

[CrossRef]

J. Chowdhary, B. Cairns, and L. D. Travis, “Contribution of water-leaving radiances to multiangle, multispectral polarimetric observations over the open ocean: bio-optical model results for case 1 waters,” Appl. Opt. 45, 5542-5567 (2006).

[CrossRef]
[PubMed]

D. H. Tofsted and S. G. O'Brien, “Physics-based visualization of dense natural clouds. I. Three-dimensional discrete ordinates radiative transfer,” Appl. Opt. 37, 7718-7728(1998).

[CrossRef]

P. N. Reinersman and K. L. Carder, “Hybrid numerical method for solution of the radiative transfer equation in one, two, or three dimensions,” Appl. Opt. 43, 2734-2743 (2004).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator-Monte Carlo method,” Appl. Opt. 47, 1063-1071(2008).

[CrossRef]
[PubMed]

P.-W. Zhai, G. W. Kattawar, and P. Yang, “Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. I. Monte Carlo method,” Appl. Opt. 47, 1037-1047 (2008).

[CrossRef]
[PubMed]

J. Fischer and H. Grassl, “Radiative transfer in an atmosphere-ocean system: an azimuthally dependent matrix operator approach,” Appl. Opt. 23, 1032-1039 (1984).

[CrossRef]
[PubMed]

Q. Liu and E. Ruprecht, “Radiative transfer model: matrix operator method,” Appl. Opt. 35, 4229-4237 (1996).

[CrossRef]
[PubMed]

C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, and R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484-7504 (1993).

[CrossRef]
[PubMed]

K. J. Voss and E. S. Fry, “Measurement of the Mueller matrix for ocean water,” Appl. Opt. 23, 4427-4439 (1984).

[CrossRef]
[PubMed]

L. C. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70-83 (1941).

[CrossRef]

A. Sánchez, T. F. Smith, and W. F. Krajewski, “A three-dimensional atmospheric radiative transfer model based on the discrete-ordinates method,” Atmos. Res. 33, 283-308(1994).

[CrossRef]

C. Davis, C. Emde, and R. Harwood, “A 3D polarized reversed Monte Carlo radiative transfer model for millimeter and submillimeter passive remote sensing in cloudy atmospheres,” IEEE Trans. Geosci. Remote Sensing 43, 1096-1101 (2005).

[CrossRef]

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

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Matrix methods for multiple-scattering problems,” J. Atmos. Sci. 23, 289-298 (1966).

[CrossRef]

S. Twomey, H. Jacobowitz, and H. B. Howell, “Light scattering by cloud layers,” J. Atmos. Sci. 24, 70-79 (1967).

[CrossRef]

C. Emde, S. A. Buehler, C. Davis, P. Eriksson, T. R. Sreerekha, and C. Teichmann, “A polarized discrete ordinate scattering model for simulations of limb and nadir long-wave measurements in 1-D/3-D spherical atmospheres,” J. Geophys. Res. 109, D24207 (2004).

[CrossRef]

D. E. Bates and J. N. Porter, “AO3D: a Monte Carlo code for modeling of environmental light propagation,” J. Quant. Spectrosc. Radiat. Transfer 109, 1802-1814 (2008).

[CrossRef]

Y. Chen, K. N. Liou, and Y. Gu, “An efficient diffusion approximation for 3D radiative transfer parameterization: application to cloudy atmospheres,” J. Quant. Spectrosc. Radiat. Transfer 92, 189-200 (2005).

[CrossRef]

L. G. Stenholm, H. Störzer, and R. Wehrse, “An efficient method for the solution of 3D radiative transfer problems,” J. Quant. Spectrosc. Radiat. Transfer 45, 47-56 (1991).

[CrossRef]

J. L. Haferman, T. F. Smith, and W. F. Krajewski, “A multi-dimensional dicrete-ordinates method for polarized radiative transfer. Part I: validation for randomly oriented axisymmetric particles,” J. Quant. Spectrosc. Radiat. Transfer 58, 379-398 (1997).

[CrossRef]

F. Schwenger and E. Repasi, “Sea surface simulation for testing of multiband imaging sensors,” Proc. SPIE 5075, 72-84 (2003).

[CrossRef]

I3RC group, “I3RC Monte Carlo community model of 3D radiative transfer,” see http://i3rc.gsfc.nasa.gov/I3RC-intro.html.

A. Marshak and A. B. Davis, eds., *3D Radiative Transfer in Cloudy Atmospheres* (Springer, 2005).

[CrossRef]

T. Dickey and G. Chang, “The Radiance in a Dynamic Ocean (RaDyO) Program,” presented at Ocean Optics XVIII, Montreal, Canada, 9-13 Oct. 2006, http://www.opl.ucsb.edu/radyo/docs/DickeyOOPoster06.pdf.

“The Office of Naval Research: Radiance in a Dynamic Ocean (RaDyO),”http://www.opl.ucsb.edu/radyo/index.html.

T. J. Petzold, “Volume scattering functions for selected ocean waters,” Technical Report SIO 72-78 (Scripps Institution of Oceanography,1972).

S. Chandrasekhar, *Radiative Transfer* (Dover, 1960).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, *Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering* (Cambridge U. Press, 2006).

K. Stamnes, S.-C. Tsay, W. Wiscombe, and I. Laszlo, “DISORT, a general-purpose Fortran program for discrete-ordinate-method radiative transfer in scattering and emitting layered media: documentation of methodology,” ftp://climate1.gsfc.nasa.gov/wiscombe/Multiple_Scatt/DISORTReport1.1.pdf (2000).

C. D. Mobley, *Light and Water--Radiative Transfer in Natural Waters* (Academic, 1994).