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.
[full text] [link to elibrary.ru]
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: 3162-7640Mu Quan Position: Student Office: Novosibirsk State University Address: 630090, Russia, Novosibirsk, 1, Pirogova str.
E-mail: mutsyuev@gmail.com
References:
1. Liou K.N., Yang P. Light scattering by ice crystals: Fundamentals and applications. Cambridge University Press; 2016: 461.
2. Mishchenko M.I., Travis L.D., Lacis A.A. Scattering, absorption, and emission of light by small particles. Cambridge University Press; 2002: 560.
3. Korolev A.V., Isaac G.A., Hallett J. Ice particle habits in Arctic clouds. Geophysical Research Letters. 1999; 26:1299–1302.
4. Korolev A.V., Isaac G.A., Hallett J. Ice particle habits in stratiform clouds. Quarterly Journal of the Royal Meteorological Society. 2000; (126):2873–2902.
5. Mishchenko M.I., Hovenier J.W., Travis L.D. Light scattering by nonspherical particles: Theory, measurements and geophysical applications. San Diego: Academic Press; 1999: 721.
6. Liu C., Panetta R.L., Yang P. The effective equivalence of geometric irregularity and surface roughness in determining particle single-scattering properties. Optics Express. 2014; 22(19):23620–23627.
7. Shishko V.A. Issledovanie opticheskikh svoystv atmosfernykh ledyanykh kristallov nepravil’noy formy [Investigation of the optical properties of irregularly shaped atmospheric ice crystals. Cand. Thesis]. Tomsk: IOA SO RAN; 2020: 143. (In Russ.)
8. Mu Q., Kargin B.A., Kablukova E.G. Computer-aided construction of three-dimensional convex bodies of arbitrary shapes. Computational Technologies. 2022; 27(2):54–61. DOI:10.25743/ICT.2022.27.2.005.
9. Preparata F.P., Shamos M.I. Computational geometry: An introduction. Springer Science Business Media; 1985: 413.
10. Santalo L. Integral geometry and geometric probability. USA: Addison-Wesley Publishing Company; 1976: 413.
11. De Berg M., van Krefeld M., Overmars M., Schwarzkopf O. Computational geometry algorithms and applications. 3rd rev. ed. Springer-Verlag; 2008: 386.
12. Zhuravlev V.F. Osnovy teoreticheskoy mekhaniki [Fundamentals of theoretical mechanics]. Moscow: Fizmatlit; 2008: 304. (In Russ.)
13. Mikhailov G.A., Voytishek A.V. Chislennoe statisticheskoe modelirovanie. Metody Monte-Karlo [Numerical statistical modelling. Monte Carlo Methods]. Moscow: Izdatel’skiy tsentr “Akademiya”; 2006: 368. (In Russ.)
14. Marchuk G.I., Mikhailov G.A., Nazaraliev M.A., Dacbinjan R.A., Kargin B.A., Elepov B.S. Monte Carlo methods in atmospheric optics. Berlin: Springer-Verlag; 1980: 218.
15. Liu C., Panetta R., Yang P. The effects of surface roughness on the scattering properties of hexagonal columns with sizes from the Rayleigh to the geometric optics regimes. Journal of Quantitative Spectroscopy and Radiative Transfer. 2013; (129):169–185.
16. Pearson V., Newman G., James R. Vetrovye volny [Wind waves]. Moscow-Leningrad: Gidrometeoizdat; 1962: 42–124. (In Russ.)
17. Rakimgulov K.B., Ukhinov S.A. Local estimates in Monte Carlo method for the ocean atmosphere system with a random interface. Russian Journal of Numerical Analysis and Mathematical Modelling. 1994; 9(6):547–564.
18. Takano Y., Liou K.N. Solar radiative transfer in cirrus clouds. Part I: Single-scattering and optical properties of hexagonal ice crystals. Journal of Atmospheric Sciences. 1989; 46(1):3–19.
19. Konoshonkin A., Kustova N., Borovoy A. Rasseyanie sveta na geksagonal’nykh ledyanykh kristallakh peristykh oblakov [Light scattering by hexagonal ice crystals of cirrus clouds]. Saabryuken: LAP LAMBERT Academic Publishing; 2013: 156. (In Russ.)
20. Konoshonkin A.V. Rasseyanie sveta na atmosfernykh ledyanykh kristallakh pri lazernom zondirovanii [Light scattering by atmospheric ice crystals during laser sensing. Dr. thesis]. Tomsk: IOA SO RAN; 2017: 283. (In Russ.)
21. Konoshonkin A.V., Kustova N.V., Shishko V.A. Borovoi A.G. The technique for solving the problem of light backscattering by ice crystals of cirrus clouds by the physical optics method for a lidar with zenith scanning. Atmospheric and Oceanic Optics. 2016; 29(03):252–262.
22. Macke A., Johannes M., Ehrhard R. Single scattering properties of atmospheric ice crystals. Journal of the Atmospheric Sciences. 1996; 53(19):2813–2825. 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
|