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    Comparative Accuracy of Selected Multiple Scattering Approximations

    Source: Journal of the Atmospheric Sciences:;1986:;Volume( 043 ):;issue: 008::page 784
    Author:
    King, Michael D.
    ,
    Harshvardhan
    DOI: 10.1175/1520-0469(1986)043<0784:CAOSMS>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: Computational results have been obtained for the plane albedo, total transmission and fractional absorption of plane-parallel atmospheres composed of cloud droplets. These computations, which were obtained using the doubling method, are compared with comparable results obtained using selected radiative transfer approximations. Both the relative and absolute accuracies of asymptotic theory for thick layers and delta-Eddington, Meador?Weaver and Coakley?Ch?lek approximations are compared as a function of optical thickness, solar zenith angle and single scattering albedo. Asymptotic theory is found to be accurate to within 5% for all optical thickness greater than about 6. On the other hand, the Coakley?Ch?lek approximation is accurate to within 5% for thin atmospheres having optical thickness less than about 0.2 for most values of the solar zenith angle. Though the accuracies of delta-Eddington and Meador-Weaver approximations are less easily summarized it can generally be concluded that the delta-Eddington approximation is the most accurate for conservative scattering when the solar zenith angle is small, while the Meador?Weaver approximation is the most accurate for nonconservative scattering (?0 ≤ 0.9). Selected results from the Eddington approximation are presented to illustrate the effect of delta function scaling in the delta-Eddington approximation. In addition, selected results from the single scattering approximation and asymptotic theory are presented in order to help explain the strengths and limitations of the various approximations.
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      Comparative Accuracy of Selected Multiple Scattering Approximations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4155363
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    contributor authorKing, Michael D.
    contributor authorHarshvardhan
    date accessioned2017-06-09T14:26:21Z
    date available2017-06-09T14:26:21Z
    date copyright1986/04/01
    date issued1986
    identifier issn0022-4928
    identifier otherams-19266.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4155363
    description abstractComputational results have been obtained for the plane albedo, total transmission and fractional absorption of plane-parallel atmospheres composed of cloud droplets. These computations, which were obtained using the doubling method, are compared with comparable results obtained using selected radiative transfer approximations. Both the relative and absolute accuracies of asymptotic theory for thick layers and delta-Eddington, Meador?Weaver and Coakley?Ch?lek approximations are compared as a function of optical thickness, solar zenith angle and single scattering albedo. Asymptotic theory is found to be accurate to within 5% for all optical thickness greater than about 6. On the other hand, the Coakley?Ch?lek approximation is accurate to within 5% for thin atmospheres having optical thickness less than about 0.2 for most values of the solar zenith angle. Though the accuracies of delta-Eddington and Meador-Weaver approximations are less easily summarized it can generally be concluded that the delta-Eddington approximation is the most accurate for conservative scattering when the solar zenith angle is small, while the Meador?Weaver approximation is the most accurate for nonconservative scattering (?0 ≤ 0.9). Selected results from the Eddington approximation are presented to illustrate the effect of delta function scaling in the delta-Eddington approximation. In addition, selected results from the single scattering approximation and asymptotic theory are presented in order to help explain the strengths and limitations of the various approximations.
    publisherAmerican Meteorological Society
    titleComparative Accuracy of Selected Multiple Scattering Approximations
    typeJournal Paper
    journal volume43
    journal issue8
    journal titleJournal of the Atmospheric Sciences
    identifier doi10.1175/1520-0469(1986)043<0784:CAOSMS>2.0.CO;2
    journal fristpage784
    journal lastpage801
    treeJournal of the Atmospheric Sciences:;1986:;Volume( 043 ):;issue: 008
    contenttypeFulltext
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