Article information

2022 , Volume 27, ¹ 2, p.4-18

Kargin B.A., Kablukova E.G., Mu Q.

Numerical stochastic simulation of optical radiation scattering by ice crystals of irregular random shapes

From numerous publications it is currently well known that cirrus clouds have a significant impact on the radiation balance of the atmosphere and the albedo change of the Earth’s climate system. The development of a numerical radiative model of cirrus cloudiness, which allows estimating incoming and outgoing visible and near-infrared radiation fluxes, requires, first of all, knowledge of such basic optical characteristics of cirrus as scattering phase functions and attenuation cross sections of radiation by ice particles. In this paper, we propose a new model of a randomly shaped crystal in the form of a convex polyhedron with triangular faces, the geometric parameters of which obey given probability distributions. For such models of ice particles, which are large in comparison with the wavelength, the scattering phase functions and the radiation attenuation cross sections are calculated using geometric optics. An efficient method for determining the intersection of a crystal face and a straight line in the ray tracing method is proposed. Models with smooth and rough surfaces are used to evaluate the optical characteristics of the ice crystals. Comparative data are presented for several numerical experiments which calculate the scattering phase functions by convex polyhedra with smooth and rough surfaces. The calculation results show that several small peaks are observed in the scattering phase functions of crystals with irregular shape and smooth faces. However, in the scattering phase functions averaged over the particle shapes and orientations, these peaks and dips are smoothed out. A similar behavior is demonstrated by the scattering phase functions of particles with rough surfaces. It is shown that the properties of radiation scattering by crystals in the form of hexagonal prisms, which are typical for most theoretical and applied studies, and by the proposed convex polyhedra have significant differences. The proposed models provide a new interpretation of the observed scattering phase functions of ice particles in the atmosphere.

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Keywords: cirrus clouds, geometric optics, ray tracing, scattering phase function, rough surface, convex hull

doi: 10.25743/ICT.2022.27.2.002

Author(s):
Kargin Boris Alexandrovich
Dr. , Professor
Office: Institute of computational mathematics and mathematical geophysics SB RAS
Address: 630090, Russia, Novosibirsk, 6, Ac. Lavrentieva aven.
Phone Office: (383) 3356220
E-mail: bkargin@osmf.sscc.ru

Kablukova Evgeniya Gennadievna
PhD.
Office: Institute of Computational Mathematics and Mathematical Geophysics of SB RAS
Address: 630090, Russia, Novosibirsk, 6, Ac. Lavrentieva aven.
Phone Office: (383) 3307721
E-mail: Jane_K@ngs.ru
SPIN-code: 3162-7640

Mu Quan
Position: Student
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, 1, Pirogova str.
E-mail: mutsyuev@gmail.com

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Bibliography link:
Kargin B.A., Kablukova E.G., Mu Q. Numerical stochastic simulation of optical radiation scattering by ice crystals of irregular random shapes // Computational technologies. 2022. V. 27. ¹ 2. P. 4-18
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