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Asymmetry parameter of the optical scattering phase function of a mixed-phase cloud

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Abstract

Basic characteristics of optical scattering in a mixed-phase cloud (asymmetry parameter of the scattering phase function and efficiency scattering factors and scattering coefficients) are considered. Theoretical consideration is based on the mixed-phase cloud model in the form of a uniform mixture of ice crystals and water droplets. Expressions allowing calculation of asymmetry parameter of the mixed-phase cloud scattering phase function are obtained as functions of the cloud temperature, average size of cloud particles, and ratios of the number densities of differently shaped ice crystals. Data calculated for the asymmetry parameter of infrared scattering in a mixed-phase cloud layer at its given temperature are presented.

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References

  1. O. A. Volkovitskii, et al., Optical Properties of Crystalline Clouds (Gidrometeoizdat, Leningrad, 1984) [in Russian].

    Google Scholar 

  2. M. I. Mishchenko and L. D. Travis, Multiple Scattering of Light by Particles (Cambridge Univ. Press, Cambridge, 2006).

    Google Scholar 

  3. Light Scattering by Nonspherical Particles. Theory, Measurements and Applications, Ed. by M. I. Mishchenko, J. W. Hovenier, and L. D. Travis (Academic, New York, 2000).

    Google Scholar 

  4. M. Platt, “A Parameterization of the Visible Extinction Coefficient of Ice Clouds in Terms of the Ice/Water Content,” J. Atmos. Sci. 54, 2083–2098 (1997).

    Article  Google Scholar 

  5. Sun Zhian and L. Ricus, “Parameterization of Effective Sizes of Cirrus Cloud Particles and Its Verification against Observations,” Q. J. R. Meteorol. Soc. 125, 3037–3055 (1999).

    Article  Google Scholar 

  6. A. G. Petrushin, “Parameterization of Basic Optical Radiation Scattering Properties of Ice Crystal Particles,” Proc. SPIE 5829, 138–150 (2005).

    Article  Google Scholar 

  7. A. G. Petrushin, “Main Optical Characteristics of Light Scattering by Mixed-Phase Clouds,” Izv., Atmos. Oceanic Phys. 37(Suppl. 1), 149–156 (2001).

    Google Scholar 

  8. I. P. Mazin and S. M. Shmeter, Clouds: Structure and the Physics of Formation (Gidrometeoizdat, Leningrad, 1989) [in Russian].

    Google Scholar 

  9. A. M. Borovikov, et al., Physics of Clouds (Gidrometeoizdat, Leningrad, 1961) [in Russian].

    Google Scholar 

  10. Report of the Experts Meeting on Aerosols and Their Climate Effects. A Preliminary Cloudless Standard Atmosphere for Radiation Computation, Ed. by A. Deepak and H. E. Gerber (Boulder, 1986), pp. 24–27.

  11. Clouds and Cloudy Atmosphere: Handbook, Ed. by I. P. Mazin and A. Kh. Khrgian (Gidrometeoizdat, Leningrad, 1989) [in Russian].

    Google Scholar 

  12. B. J. Mason, The Physics of Clouds (Clarendon, Oxford, 1957; Gidrometeoizdat, Leningrad, 1961).

    Google Scholar 

  13. A. J. Heymsfield and G. M. R. Platt, “A Parameterization of the Particle Size Spectrum of Ice Clouds in Terms of the Ambient Temperature and the Ice Water Content,” J. Atmos. Sci. 41, 846–855 (1984).

    Article  Google Scholar 

  14. P. V. Hobbs and A. Deepak, Clouds, Their Formation, Optical Properties and Effects (Academic, London, 1981).

    Google Scholar 

  15. H. Sundqvist, “Inclusion of Ice Phase of Hydrometeors in Cloud Parameterization for Mesoscale and Largescale Models,” Beitr. Phys. Atmos., No. 66, 445–453 (1993).

    Google Scholar 

  16. A. G. Petrushin, “The Light Scattering by Mixed-Phase Clouds,” Proc. of SPIE 4678, 372–381 (2002).

    Article  Google Scholar 

  17. A. G. Petrushin, “Absorption and Extinction of Optical Radiation by a Crystalline Cloudy Medium. Natural and Anthropogenic Aerosols. 4,” in Collection of Papers (St. Petersburg, 2005), pp. 219–227 [in Russian].

  18. Van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957; Inostrannaya Literatura, Moscow, 1961).

    Google Scholar 

  19. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

    Google Scholar 

  20. S. G. Warren, “Optical Constants of Ice from Ultraviolet to the Microwave,” Appl. Opt. 23, 1206–1225 (1984).

    Article  Google Scholar 

  21. L. W. Pincley, P. P. Sethna, and D. Williams, “Optical Constants of Water in the Infrared: Influence of Temperature,” J. Opt. Soc. Am. 67, 494–499 (1977).

    Google Scholar 

  22. G. M. Hale and M. R. Querry, “Optical Constants of Water in the 200 nm to 200 µm,” Appl. Opt. 12, 555–563 (1973).

    Article  Google Scholar 

  23. A. G. Petrushin, “Scattering and Absorption of Optical Radiation in a Crystalline Cloudy Medium,” in Problems of the Physics of Clouds, Ed. by L. P. Semenov (Gidrometeoizdat, St. Petersburg, 1998), pp. 118–149 [in Russian].

    Google Scholar 

  24. J. H. Joseph and W. J. Wiskombe, “The Delta-Eddington Approximation for Radiative Flux Transfer,” J. Atmos. Sci. 33, 2452–2459 (1976).

    Article  Google Scholar 

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Correspondence to A. G. Petrushin.

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Original Russian Text © A.G. Petrushin, 2007, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2007, Vol. 43, No. 4, pp. 570–576.

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Petrushin, A.G. Asymmetry parameter of the optical scattering phase function of a mixed-phase cloud. Izv. Atmos. Ocean. Phys. 43, 526–532 (2007). https://doi.org/10.1134/S0001433807040147

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  • DOI: https://doi.org/10.1134/S0001433807040147

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