Editorial Type:
Article
Article Type:
Research Article

New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method

Zhenyi Lin Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Nan Chen Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Yongzhen Fan Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Wei Li Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Knut Stamnes Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Snorre Stamnes NASA Langley Research Center, Hampton, Virginia

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Print Publication:
01 Jan 2018
DOI:
https://doi.org/10.1175/JAS-D-17-0233.1
Page(s):
327–336
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Abstract

The treatment of strongly anisotropic scattering phase functions is still a challenge for accurate radiance computations. The new delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments. Delta-M+ is an upgrade of the widely used delta-M method that truncates the forward scattering peak with a Dirac delta function, where the “+” symbol indicates that it essentially matches moments beyond the first M terms. Compared with the original delta-M method, delta-M+ has the same computational efficiency, but for radiance computations, the accuracy and stability have been increased dramatically.

© 2018 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Zhenyi Lin, lzhenyi@stevens.edu

Abstract

The treatment of strongly anisotropic scattering phase functions is still a challenge for accurate radiance computations. The new delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments. Delta-M+ is an upgrade of the widely used delta-M method that truncates the forward scattering peak with a Dirac delta function, where the “+” symbol indicates that it essentially matches moments beyond the first M terms. Compared with the original delta-M method, delta-M+ has the same computational efficiency, but for radiance computations, the accuracy and stability have been increased dramatically.

© 2018 American Meteorological Society. For information regarding reuse of this content and general copyright information, consult the AMS Copyright Policy (www.ametsoc.org/PUBSReuseLicenses).

Corresponding author: Zhenyi Lin, lzhenyi@stevens.edu
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