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References
Bushmakova, O. V., E. P. Zege, I. L. Katsev, 1971: On asymptotical equations for brightness coefficients of thick layers of a scattering medium, Doklady, Acad. Sci. Belarussian SSR, 4, 309–311.
Bushmakova, O. V., E. P. Zege, I. L. Katsev, and N. V. Konovalov, 1979: Reflection and transmission of light by an optically thick layer, Zurnal Appl. Spectr., 30, 900–907.
Chandrasekhar, S., 1950: Radiative Transfer, Oxford University Press, Oxford.
Danielson, R. E., et al., 1969: The transfer of visible radiation through clouds, J. Atmos. Sci., 26, 1078–1087.
de Rooij, W.A., 1985: Reflection and transmission of polarized light by planetary atmospheres. PhD thesis, Free University of Amsterdam, Amsterdam.
Dlugach, I. M., and E. G. Yanovitskij, 1974: The optical properties of Venus and the Jovian planets, II. Methods and results of calculations of the intensity of radiation diffusely reflected from semi-infinite homogeneous atmospheres, Icarus, 22, 66–81.
Domke, H., 1978a: Linear Fredholm integral equations for radiative transfer problems in finite plane-parallel media. I. Imbedding in an infinite medium, Astron. Nachr., 299, 87–93.
Domke, H., 1978b: Linear Fredholm integral equations for radiative transfer problems in finite plane-parallel media. II. Imbedding in a semi-infinite medium, Astron. Nachr., 299, 95–102.
Germogenova, T. A., 1961: On the properties of the transport equation for a planeparallel layer, J. Appl. Math. Comp. Phys., 1, 928–946.
Germogenova, T. A., and N. V. Konovalov, 1974: Asymptotic characteristic solutions of transport equation for the inhomogeneous slab problem, J. Appl. Math. Comp. Phys., 14, 928–946.
Hovenier, J. W., C. Van der Mee, H. Domke, 2005: Transfer of Polarized Light in Planetary Atmospheres: Basic Concepts and Practical Methods, Elsevier, Amsterdam.
Ivanov, V. V., 1976: Radiative transfer in a multilayered optically thick atmosphere, II, Tr. Astron. Observ. LGU, 32, 23–39.
King, M. D. and Harshvardhan, 1986: Comparative accuracy of selected multiple scattering approximations, J. Atmos. Sci., 43, 784–801.
King, M.D., 1987: Determination of the scaled optical thickness of clouds from reflected soar radiation measurements, J. Atmos. Sci., 44, 1734–1751.
Kokhanovsky, A. A., 2003: The influence of the horizontal inhomogeneity on radiative characteristics of clouds: an asymptotic case study, IEEE Transactions, Geosciences and Remote Sensing, 41, 817–825.
Kokhanovsky, A. A., 2004a: Light Scattering Media Optics, Springer-Verlag, Berlin.
Kokhanovsky, A. A., 2004b: Reflection of light from nonabsorbing semi-infinite cloudy media: a simple approximation, J. Quant. Spectr. Rad. Transfer, 85, 25–33.
Kokhanovsky, A. A., 2006: Cloud Optics, Springer-Verlag Berlin.
Kokhanovsky, A. A., and V. V. Rozanov, 2003: The reflection function of optically thick weakly absorbing turbid layers: a simple approximation, J. Quant. Spectr. Rad. Transfer, 77, 165–175.
Kokhanovsky, A. A., and V. V. Rozanov, 2004a: The physical parameterization of the top-of-atmosphere reflection function for a cloudy atmosphere-underlying surface system: the oxygen A-band study, J. Quant. Spectr. Rad. Transfer, 85, 35–55.
Kokhanovsky, A. A., and V. V. Rozanov, 2004b: Simple approximate solutions of the radiative transfer equation for a cloudy atmosphere, in Remote Sensing of Clouds and the Atmosphere, IX, K. P. Schafer et al. (eds), (Proc. of SPIE, v. 5571), SPIE, Bellingham, WA, 86–93.
Kokhanovsky, A. A., V. V. Rozanov, E. P. Zege, H. Bovensmann, and J. P. Burrows, 2003: A semi-analytical cloud retrieval algorithm using backscattering radiation in 04.–2.4 µm spectral range, J. Geophys. Res., D, 108, 10.1029/2001JD001543.
Konovalov, N. V., 1974: Asymptotical properties of the solution of one-speed transport equation in a uniform plane-parallel layer. The problem with the azimuthal dependence, Reprint no. 65, Institute of Applied Mathematics, Moscow.
Konovalov, N. V., 1975: On the range of applicability of asymptotical formulae for calculations of monochromatic radiation in a nonuniform optically thick planeparallel layer, Izv. AN SSSR, FAO, 11, 1263–1271.
Liou, K. N., 2002: An Introduction to Atmospheric Radiation, Academic Press, New York.
Melnikova, I. N., and Minin, I. N., 1977: On the monochromatic radiative transfer in cloud layers, Izvestiya, Atmospheric and Oceanic Physics, 13,3, 254–263.
Melnikova, I. N., and A. V. Vasilyev, 2005: Short-Wave Solar Radiation in the Earth’s Atmosphere, Berlin, Springer.
Minin, I. N., 1988: Radiative Transfer Theory in Planetary Atmospheres, Nauka, Moscow.
Mishchenko, M. I., J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, 1999: Bidirectional reflectance of flat, optically thick particulate layers: An efficient radiative transfer solution and applications to snow and soil surfaces. J. Quant. Spectrosc. Radiat. Transfer, 63, 409–432.
Nakajima, T., and M. Tanaka, 1988: Algorithms for radiative intensity calculations in moderately thick atmospheres using a truncation approximation, J. Quant. Spectr. Rad. Transfer, 40, 51–69.
Nakajima, T., and M. D. King, 1992: Asymptotic theory for optically thick layers: application to the discrete ordinates method, Appl. Opt., 31, 7669–7683.
Nikolaeva, O. V., L. P. Bass, T. A. Germogenova, A. A. Kokhanovsky, V. S. Kuznetsov, B. Mayer, 2005: The influence of neighbouring clouds on the clear sky reflectance studied with the 3-D transport code RADUGA, J. Quant. Spectr. Rad. Transfer, 94, 405–424.
Rozenberg, G. V., 1962: Light characteristics of thick layers of a weakly absorbing scattering medium, Doklady, Acad. Sci. USSR, 145, 775–777.
Siewert, C. E., 2000: A discrete-ordinates solution for radiative-transfer models that include polarization effects, J. Quant. Spectr. Rad. Transfer, 64, 227–254.
Sobolev, V. V., 1968: The diffusion of radiation in an optically thick medium under anisotropic scattering conditions, Doklady, Academy of Sciences of USSR, 1, 41–44.
Sobolev, V.V., 1975: Light Scattering in Planetary Atmospheres, Pergamon Press, New York.
Sobolev, V. V., 1984: Integral relations and asymptotic expressions in the theory of radiative transfer, Astrofizika, 20, 123–132.
Stokes, G. G., 1852: On the composition and resolution of streams of polarized light from different sources, Trans. Camb. Phil. Soc., 9, 399–416.
Thomas, G., and K. Stamnes, 1999: Radiative Transfer in the Atmosphere and Ocean, Cambridge University Press, Cambridge.
van de Hulst, H. C., 1968a: Radiative transfer in thick atmospheres with an arbitrary scattering function, Bull. Astr. Netherlands, 20, 77–90.
van de Hulst, H. C., 1968b: Asymptotic fitting, a method for solving anisotropic transfer problems in thick layers, J. Comput. Physics, 3, 291–306.
van de Hulst, H. C., 1980: Multiple Light Scattering: Tables, Formulas and Applications, Academic Press, New York.
Wauben, W. M. F., 1992: Multiple scattering of polarized radiation in planetary atmospheres, PhD thesis, Free University of Amsterdam, Amsterdam.
Yanovitskij, E. G., 1971: Anisotropic light scattering in inhomogeneous atmosphere, I, Astronom. Zurnal, 48, 323–332.
Yanovitskij, E. G., 1997: Light Scattering in Inhomogeneous Atmospheres, Springer-Verlag, New York.
Zege, E. P., 1982: Engineering techniques to calculate light fields in multiple light scattering conditions, in Light Propagation in a Disperse Medium, A. P. Ivanov (ed.), Nauka and Tekhnika, Minsk, 84–105.
Zege, E. P., and I. L. Katsev, 1974: On the relationship between nonstationary radiation fields in absorbing and nonabsorbing media, Astrofizika, 2, 219–225.
Zege, E. P., A. P. Ivanov, and I. L. Katsev, 1991: Image Transfer through a Scattering Medium, Springer-Verlag, New York.
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Kokhanovsky, A.A. (2006). Asymptotic radiative transfer. In: Kokhanovsky, A.A. (eds) Light Scattering Reviews. Springer Praxis Books. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-37672-0_6
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