D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

J. K. Lotsberg and J. J. Stamnes, “Impact of particulate oceanic composition on the radiance and polarization of underwater and backscattered light,” Opt. Expr.18, 10432–10445 (2010).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

K. I. Gjerstad, J. J. Samnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system,” Appl. Opt.42, 2609–2622 (2003).

[CrossRef]
[PubMed]

X. Zhou, S. Li, and K. Stamnes, “Geometrical-optics code for computing optical properties of large dielectric spheres,” Appl. Opt.42, 4295–4306 (2003).

[CrossRef]
[PubMed]

H. Ishimoto and K. Masuda, “A Monte Carlo approach for the calculation of polarized light,” J. Quant. Spectrosc. Radiat. Transfer72, 467–483 (2002).

[CrossRef]

F. M. Schulz and K. Stamnes, “Angular distribution of the Stokes vector in a plane parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model,” J. Quant. Spectrosc. Radiat. Transfer65, 609–620 (2000).

[CrossRef]

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. Transfer61, 105–122 (1999).

[CrossRef]

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

M. I. Mischenko and L. D. Travis, “Capabilities and Limitations of a Current FORTRAN Implementation of the T-Matrix Method for Randomly Oriented, Rotationally Symmetric Scatterers,” J. Quant. Spectrosc. Radiat. Transfer60, 309–324 (1998).

[CrossRef]

H. R. Gordon, “Atmospheric correction of ocean color imagery in the Earth Observation System era,” J. Geophys. Res.102, 17081–17106 (1997).

[CrossRef]

M. Mishchenko and L. Travis, “Satellite retrieval of aerosol properties over the ocean using polarization as well as intensity of reflected sunlight,” J. Geophys. Res.102, 16989–7013 (1997).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - I. Theory,” J. Quant. Spectrosc. Radiat. Transfer, 47, 19–33 (1992).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - II. Applications,” J. Quant. Spectrosc. Radiat. Transfer47, 35–42 (1992).

[CrossRef]

D. M. O’Brien, “Accelerated quasi Monte Carlo integration of the radiative transfer equation,” J. Quant. Spectrosc. Radiat. Transfer48, 41–59 (1992).

[CrossRef]

C. N. Adams and G. W. Kattawar, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: Effect of interface refractive index on radiance and polarization,” Limm. Ocean.34, 1453–1472 (1989).

[CrossRef]

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

K. Stamnes and P. Conklin, “A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres,” J. Quant. Spectrosc. Radiat. Transfer31, 273–282 (1984).

[CrossRef]

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).

C. E. Siewert, “On the phase matrix basic to the scattering of polarized light,” Astron. Astrophys.109, 195–200 (1982).

C. E. Siewert, “On the equation of transfer relevant to the scattering of polarized light,” Astrophys. J.245, 1080–1086 (1981).

[CrossRef]

K. Stamnes and R. A. Swanson, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres,” J. Atmos. Sci.38, 387–399 (1981).

[CrossRef]

K. Stamnes and H. Dale, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres. II. Intensity computations,” J. Atmos. Sci.38, 2696–2706 (1981).

[CrossRef]

W. J. Wiscombe, “The delta-M method: Rapid yet accurate radiative flux calculations for strongly asymmetric phase functions,” J. Atmos. Sci.34, 1408–1422 (1977).

[CrossRef]

J. E. Hansen and L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev.16, 527–610 (1974).

[CrossRef]

K. N. Liou, “A numerical experiment on Chandrasekhar’s discrete-ordinate method for radiative transfer,” J. Atmos. Sci.30, 1303–1326 (1973).

[CrossRef]

C. N. Adams and G. W. Kattawar, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: Effect of interface refractive index on radiance and polarization,” Limm. Ocean.34, 1453–1472 (1989).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).

[CrossRef]

M. Born and E. Wolf, Principles of Optics: 7th edition (Cambridge University, 2002).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

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P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

K. Stamnes and P. Conklin, “A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres,” J. Quant. Spectrosc. Radiat. Transfer31, 273–282 (1984).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

K. Stamnes and H. Dale, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres. II. Intensity computations,” J. Atmos. Sci.38, 2696–2706 (1981).

[CrossRef]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

H. R. Gordon, “Atmospheric correction of ocean color imagery in the Earth Observation System era,” J. Geophys. Res.102, 17081–17106 (1997).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. I. Gjerstad, J. J. Samnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system,” Appl. Opt.42, 2609–2622 (2003).

[CrossRef]
[PubMed]

J. E. Hansen and L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev.16, 527–610 (1974).

[CrossRef]

J. M. Wallace and P. V. Hobbs, Atmospheric Science: Introductory Survey (Academic, 1977).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

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).

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).

[CrossRef]

H. Ishimoto and K. Masuda, “A Monte Carlo approach for the calculation of polarized light,” J. Quant. Spectrosc. Radiat. Transfer72, 467–483 (2002).

[CrossRef]

S. Jiang, “Radiative Transfer in the Coupled Atmosphere-Sea Ice-Ocean System with Applications in Remote Sensing,” PhD thesis, Stevens Institute of Technology (2003).

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

H. H. Tynes, G. W. Kattawar, E. P. Zege, I. L. Katsev, A. S. Prikhach, and L. I. Chaikovskaya, “Monte Carlo and multicomponent approximation methods for vector radiative transfer by use of effective Mueller matrix calculations,” Appl. Opt.40, 400–412 (2001).

[CrossRef]

H. H. Tynes, G. W. Kattawar, E. P. Zege, I. L. Katsev, A. S. Prikhach, and L. I. Chaikovskaya, “Monte Carlo and multicomponent approximation methods for vector radiative transfer by use of effective Mueller matrix calculations,” Appl. Opt.40, 400–412 (2001).

[CrossRef]

C. N. Adams and G. W. Kattawar, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: Effect of interface refractive index on radiance and polarization,” Limm. Ocean.34, 1453–1472 (1989).

[CrossRef]

G. N. Plass and G. W. Kattawar, “Monte Carlo calculations of light scattering from clouds,” Appl. Opt.7, 415–419 (1968).

[CrossRef]
[PubMed]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).

M. I. Mishchenko, A.A. Lacis, and L. D. Travis, “Errors due to the neglect of polarization in radiance calculations for Rayleigh-scattering atmospheres,” J. Quant Spectrosc. Radiat Transfer51, 491–510 (1994).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

K. N. Liou, “A numerical experiment on Chandrasekhar’s discrete-ordinate method for radiative transfer,” J. Atmos. Sci.30, 1303–1326 (1973).

[CrossRef]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

J. K. Lotsberg and J. J. Stamnes, “Impact of particulate oceanic composition on the radiance and polarization of underwater and backscattered light,” Opt. Expr.18, 10432–10445 (2010).

[CrossRef]

K. I. Gjerstad, J. J. Samnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system,” Appl. Opt.42, 2609–2622 (2003).

[CrossRef]
[PubMed]

J. K. Lotsberg, “Impact of particulate oceanic composition on the radiance and polarization of the natural light field,” PhD thesis, University of Bergen (2005).

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

H. Ishimoto and K. Masuda, “A Monte Carlo approach for the calculation of polarized light,” J. Quant. Spectrosc. Radiat. Transfer72, 467–483 (2002).

[CrossRef]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

M. I. Mischenko and L. D. Travis, “Capabilities and Limitations of a Current FORTRAN Implementation of the T-Matrix Method for Randomly Oriented, Rotationally Symmetric Scatterers,” J. Quant. Spectrosc. Radiat. Transfer60, 309–324 (1998).

[CrossRef]

M. Mishchenko and L. Travis, “Satellite retrieval of aerosol properties over the ocean using polarization as well as intensity of reflected sunlight,” J. Geophys. Res.102, 16989–7013 (1997).

[CrossRef]

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

M. I. Mishchenko, A.A. Lacis, and L. D. Travis, “Errors due to the neglect of polarization in radiance calculations for Rayleigh-scattering atmospheres,” J. Quant Spectrosc. Radiat Transfer51, 491–510 (1994).

[CrossRef]

M. I. Mishchenko, “Light scattering by randomly oriented rotationally symmetric particles,” J. Opt. Soc. Am. A8, 871–882 (1991).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

G. I. Marchuk, G. A Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, and B. S. Elepov, The Monte Carlo Methods in Atmospheric Optics (Springer-Verlag, 1980).

[CrossRef]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

D. M. O’Brien, “Accelerated quasi Monte Carlo integration of the radiative transfer equation,” J. Quant. Spectrosc. Radiat. Transfer48, 41–59 (1992).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

C. Rodgers, Inverse Methods for Atmospheric Sounding (World Scientific, 2000).

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

F. M. Schulz and K. Stamnes, “Angular distribution of the Stokes vector in a plane parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model,” J. Quant. Spectrosc. Radiat. Transfer65, 609–620 (2000).

[CrossRef]

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. Transfer61, 105–122 (1999).

[CrossRef]

C. E. Siewert, “On the phase matrix basic to the scattering of polarized light,” Astron. Astrophys.109, 195–200 (1982).

C. E. Siewert, “On the equation of transfer relevant to the scattering of polarized light,” Astrophys. J.245, 1080–1086 (1981).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

E. R. Sommersten, “CAO-VDISORT: A discrete ordinate method for polarized (vector) radiative transfer in a coupled system consisting of two media with different indices of refraction,” MSc thesis, University of Bergen (2005).

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

J. K. Lotsberg and J. J. Stamnes, “Impact of particulate oceanic composition on the radiance and polarization of underwater and backscattered light,” Opt. Expr.18, 10432–10445 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

X. Zhou, S. Li, and K. Stamnes, “Geometrical-optics code for computing optical properties of large dielectric spheres,” Appl. Opt.42, 4295–4306 (2003).

[CrossRef]
[PubMed]

K. I. Gjerstad, J. J. Samnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system,” Appl. Opt.42, 2609–2622 (2003).

[CrossRef]
[PubMed]

F. M. Schulz and K. Stamnes, “Angular distribution of the Stokes vector in a plane parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model,” J. Quant. Spectrosc. Radiat. Transfer65, 609–620 (2000).

[CrossRef]

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. Transfer61, 105–122 (1999).

[CrossRef]

Z. Jin and K. Stamnes, “Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system,” Appl. Opt.33, 431–442 (1994).

[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.272502–2509 (1988).

[CrossRef]
[PubMed]

K. Stamnes and P. Conklin, “A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres,” J. Quant. Spectrosc. Radiat. Transfer31, 273–282 (1984).

[CrossRef]

K. Stamnes and R. A. Swanson, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres,” J. Atmos. Sci.38, 387–399 (1981).

[CrossRef]

K. Stamnes and H. Dale, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres. II. Intensity computations,” J. Atmos. Sci.38, 2696–2706 (1981).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Stamnes and R. A. Swanson, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres,” J. Atmos. Sci.38, 387–399 (1981).

[CrossRef]

M. Mishchenko and L. Travis, “Satellite retrieval of aerosol properties over the ocean using polarization as well as intensity of reflected sunlight,” J. Geophys. Res.102, 16989–7013 (1997).

[CrossRef]

M. I. Mischenko and L. D. Travis, “Capabilities and Limitations of a Current FORTRAN Implementation of the T-Matrix Method for Randomly Oriented, Rotationally Symmetric Scatterers,” J. Quant. Spectrosc. Radiat. Transfer60, 309–324 (1998).

[CrossRef]

M. I. Mishchenko, A.A. Lacis, and L. D. Travis, “Errors due to the neglect of polarization in radiance calculations for Rayleigh-scattering atmospheres,” J. Quant Spectrosc. Radiat Transfer51, 491–510 (1994).

[CrossRef]

J. E. Hansen and L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev.16, 527–610 (1974).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

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).

J. M. Wallace and P. V. Hobbs, Atmospheric Science: Introductory Survey (Academic, 1977).

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. Transfer61, 105–122 (1999).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - I. Theory,” J. Quant. Spectrosc. Radiat. Transfer, 47, 19–33 (1992).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - II. Applications,” J. Quant. Spectrosc. Radiat. Transfer47, 35–42 (1992).

[CrossRef]

W. J. Wiscombe, “The delta-M method: Rapid yet accurate radiative flux calculations for strongly asymmetric phase functions,” J. Atmos. Sci.34, 1408–1422 (1977).

[CrossRef]

M. Born and E. Wolf, Principles of Optics: 7th edition (Cambridge University, 2002).

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[CrossRef]
[PubMed]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

Z. Jin and K. Stamnes, “Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system,” Appl. Opt.33, 431–442 (1994).

[CrossRef]
[PubMed]

K. I. Gjerstad, J. J. Samnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system,” Appl. Opt.42, 2609–2622 (2003).

[CrossRef]
[PubMed]

K. Hestenes, K. P. Nielsen, L. Zhao, J. J. Stamnes, and K. Stamnes, “Monte Carlo and discrete-ordinate simulations of spectral radiances in the coupled air-tissue system,” Appl. Opt.46, 2333–2350 (2007).

[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.272502–2509 (1988).

[CrossRef]
[PubMed]

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[CrossRef]
[PubMed]

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[CrossRef]

X. Zhou, S. Li, and K. Stamnes, “Geometrical-optics code for computing optical properties of large dielectric spheres,” Appl. Opt.42, 4295–4306 (2003).

[CrossRef]
[PubMed]

C. E. Siewert, “On the phase matrix basic to the scattering of polarized light,” Astron. Astrophys.109, 195–200 (1982).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

J. F. de Haan, P. B. Bosma, and J. W. Hovenier, “The adding method for multiple scattering calculations of polarized light,” Astron. Astrophys.183, 371–391 (1987).

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).

C. E. Siewert, “On the equation of transfer relevant to the scattering of polarized light,” Astrophys. J.245, 1080–1086 (1981).

[CrossRef]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, E. Sommersten, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions,” Dermatol. Surg.36, 1–8 (2010).

[CrossRef]

A. A. Lacis, J. Chowdhary, M. I. Mishchenko, and B. Cairns, “Modeling errors in diffuse-sky radiation: vector vs. scalar treatment,” Geophys. Res. Lett.25, 135–138 (1998).

[CrossRef]

W. Li, K. Stamnes, R. Spurr, and J. J. Stamnes, “Simultaneous retrieval of aerosols and ocean properties: A classic inverse modeling approach. II. SeaWiFS case study for the Santa Barbara channel,” Int. J. Rem. Sens.29, 5689–5698 (2008).

[CrossRef]

K. N. Liou, “A numerical experiment on Chandrasekhar’s discrete-ordinate method for radiative transfer,” J. Atmos. Sci.30, 1303–1326 (1973).

[CrossRef]

K. Stamnes and R. A. Swanson, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres,” J. Atmos. Sci.38, 387–399 (1981).

[CrossRef]

K. Stamnes and H. Dale, “A new look at the discrete ordinate method for radiative transfer calculations in anisotropically scattering atmospheres. II. Intensity computations,” J. Atmos. Sci.38, 2696–2706 (1981).

[CrossRef]

W. J. Wiscombe, “The delta-M method: Rapid yet accurate radiative flux calculations for strongly asymmetric phase functions,” J. Atmos. Sci.34, 1408–1422 (1977).

[CrossRef]

H. R. Gordon, “Atmospheric correction of ocean color imagery in the Earth Observation System era,” J. Geophys. Res.102, 17081–17106 (1997).

[CrossRef]

M. Mishchenko and L. Travis, “Satellite retrieval of aerosol properties over the ocean using polarization as well as intensity of reflected sunlight,” J. Geophys. Res.102, 16989–7013 (1997).

[CrossRef]

K. Nielsen, L. Zhao, G. A. Ryzhikov, M. S. Biryulina, E. R. Sommersten, J. J. Stamnes, K. Stamnes, and J. Moan, “Retrieval of the physiological state of human skin from UV-VIS reflectance spectra: A feasibility study,” J. Photochem. Photobiol. B93, 23–31 (2008).

[CrossRef]
[PubMed]

M. I. Mishchenko, A.A. Lacis, and L. D. Travis, “Errors due to the neglect of polarization in radiance calculations for Rayleigh-scattering atmospheres,” J. Quant Spectrosc. Radiat Transfer51, 491–510 (1994).

[CrossRef]

K. Stamnes and P. Conklin, “A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres,” J. Quant. Spectrosc. Radiat. Transfer31, 273–282 (1984).

[CrossRef]

R. Spurr, K. Stamnes, H. Eide, W. Li, K. Zhang, and J. J. Stamnes, “Simultaneous retrieval of aerosol and ocean properties: A classic inverse modeling approach: I. Analytic Jacobians from the linearized CAO-DISORT model,” J. Quant. Spectrosc. Radiat. Transfer104, 428–449 (2007).

[CrossRef]

E. R. Sommersten, J. K. Lotsberg, K. Stamnes, and J. J. Stamnes, “Discrete ordinate and Monte Carlo simulations for polarized radiative transfer in a coupled system consisting of two media with different refractive indices,” J. Quant. Spectrosc. Radiat. Transfer111, 616–633 (2010).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - I. Theory,” J. Quant. Spectrosc. Radiat. Transfer, 47, 19–33 (1992).

[CrossRef]

F. Weng, “A multi-layer discrete-ordinate method for vector radiative transfer in a vertically-inhomogenous, emitting and scattering atmosphere - II. Applications,” J. Quant. Spectrosc. Radiat. Transfer47, 35–42 (1992).

[CrossRef]

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. Transfer61, 105–122 (1999).

[CrossRef]

F. M. Schulz and K. Stamnes, “Angular distribution of the Stokes vector in a plane parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model,” J. Quant. Spectrosc. Radiat. Transfer65, 609–620 (2000).

[CrossRef]

M. I. Mischenko and L. D. Travis, “Capabilities and Limitations of a Current FORTRAN Implementation of the T-Matrix Method for Randomly Oriented, Rotationally Symmetric Scatterers,” J. Quant. Spectrosc. Radiat. Transfer60, 309–324 (1998).

[CrossRef]

A. A. Kokhanovsky, C. Cornet, M. Duan, C. Emde, I. L. Katsev, L. C-Labonnote, Q. Min, T. Nakajima, Y. Ota, and A.P. Prikhach, and others, “Benchmark results in vector radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer111, 1931–1946 (2010). .

[CrossRef]

H. Ishimoto and K. Masuda, “A Monte Carlo approach for the calculation of polarized light,” J. Quant. Spectrosc. Radiat. Transfer72, 467–483 (2002).

[CrossRef]

D. M. O’Brien, “Accelerated quasi Monte Carlo integration of the radiative transfer equation,” J. Quant. Spectrosc. Radiat. Transfer48, 41–59 (1992).

[CrossRef]

C. N. Adams and G. W. Kattawar, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: Effect of interface refractive index on radiance and polarization,” Limm. Ocean.34, 1453–1472 (1989).

[CrossRef]

J. K. Lotsberg and J. J. Stamnes, “Impact of particulate oceanic composition on the radiance and polarization of underwater and backscattered light,” Opt. Expr.18, 10432–10445 (2010).

[CrossRef]

P. W. Zhai, Y. Hu, J. Chowdhary, C. R. Trepte, P. L. Lucker, and D. B. Josset, “A vector radiative transfer model for coupled atmosphere and ocean systems based on successive order of scattering method,” Opt. Expr.17, 2057–2079 (2009).

[CrossRef]

K. P. Nielsen, L. Zhao, P. Juzenas, K. Stamnes, J. J. Stamnes, and J. Moan, “Reflectance spectra of pigmented and non-pigmented skin in the UV spectral region,” Photochem. Photobiol.80, 450–455 (2004).

[PubMed]

D. L. Swanson, S. D. Laman, M. Biryulina, K. P. Nielsen, G. Ryzhikov, J. J. Stamnes, B. Hamre, L. Zhao, F. S. Castellana, and K. Stamnes, “Optical transfer diagnosis of pigmented lesions: a pilot study,” Skin Res. Technol.15, 330–337 (2009).

[CrossRef]
[PubMed]

J. E. Hansen and L. D. Travis, “Light scattering in planetary atmospheres,” Space Sci. Rev.16, 527–610 (1974).

[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).

M. Born and E. Wolf, Principles of Optics: 7th edition (Cambridge University, 2002).

J. M. Wallace and P. V. Hobbs, Atmospheric Science: Introductory Survey (Academic, 1977).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley, 1998).

[CrossRef]

C. Rodgers, Inverse Methods for Atmospheric Sounding (World Scientific, 2000).

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[CrossRef]

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