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On the Fractional Scattering into the Forward Peak

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  • 1 Canadian Centre for Climate Modelling and Analysis, Atmospheric Environment Service, University of Victoria, Victoria, British Columbia, Canada
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Abstract

A hypothesis that the fractional scattering into the forward peak is related to solar zenith angle and single scattering albedo is proposed. Calculations show that this assumption can increase the accuracy of the δ-Eddington approximation. For the scattering conservative case this method can improve the results in the region of thin optical depth. For the scattering nonconservative case this method can reduce the errors for reflection and absorption in the region of small solar zenith angle, where the incoming solar energy is most significant.

Corresponding author address: Dr. Jiangnan Li, Canadian Centre for Climate Modelling and Analysis, Atmospheric Environment Service, P.O. Box 1700, University of Victoria, Victoria, BC V8P 2Y2, Canada.

Email: jiangnan.li@ec.gc.ca

Abstract

A hypothesis that the fractional scattering into the forward peak is related to solar zenith angle and single scattering albedo is proposed. Calculations show that this assumption can increase the accuracy of the δ-Eddington approximation. For the scattering conservative case this method can improve the results in the region of thin optical depth. For the scattering nonconservative case this method can reduce the errors for reflection and absorption in the region of small solar zenith angle, where the incoming solar energy is most significant.

Corresponding author address: Dr. Jiangnan Li, Canadian Centre for Climate Modelling and Analysis, Atmospheric Environment Service, P.O. Box 1700, University of Victoria, Victoria, BC V8P 2Y2, Canada.

Email: jiangnan.li@ec.gc.ca

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