Light scattering matrix for quasi-horizontally oriented atmospheric ice crystals for radiation transfer problems

2020 ◽  
Author(s):  
Alexander V. Konoshonkin ◽  
Tatiana B. Zhuravleva ◽  
Anatoli G. Borovoi ◽  
Natalia V. Kustova ◽  
Ilmir M. Nasrtdinov ◽  
...  
Keyword(s):  
Light Scattering ◽  
Radiation Transfer ◽  
Scattering Matrix ◽  
Ice Crystals ◽  
Transfer Problems

scholarly journals Anisotropic dielectric susceptibility matrix of anisotropic medium

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Wanrong Gao
Keyword(s):  
Light Scattering ◽  
Anisotropic Medium ◽  
Polarized Light ◽  
Scattering Matrix ◽  
Dielectric Susceptibility ◽  
Anisotropic Dielectric ◽  
New Methods ◽  
Mueller Matrices ◽  
Anisotropic Structures ◽  
The Fourier Transform

AbstractIn this work, we introduce the concept of anisotropic dielectric susceptibility matrix of anisotropic medium for both nondepolarizing and depolarizing medium. The concept provides a new way of analyzing light scattering properties of anisotropic media illuminated by polarized light. The explicit expressions for the elements of the scattering matrix are given in terms of the elements of the Fourier transform of the anisotropic dielectric susceptibility matrix of the medium. Finally, expressions for the elements of the Jones matrix of a thin layer of a deterministic anisotropic medium and the elements of the Mueller matrix of a depolarizing medium are given. The results obtained in this work is helpful for deriving information about the correlated anisotropic structures in depolarizing media from measured Mueller matrices. The findings in this work may also well prove stimulating to researchers working on new methods for analyzing light scattering properties.

scholarly journals Invariant Imbedding and the Radiation Transfer in a Plane-Parallel Inhomogeneous Atmosphere

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Arthur G. Nikoghossian
Keyword(s):  
High Speed ◽  
Radiation Transfer ◽  
Energy Sources ◽  
Invariant Imbedding ◽  
Distributed Energy ◽  
Initial Value ◽  
Radiation Diffusion ◽  
Inhomogeneous Atmosphere ◽  
Plane Parallel ◽  
Transfer Problems

The invariant imbedding technique is applied to the problems of radiation transfer in a plane-parallel inhomogeneous atmosphere. All the parameters which describe the elementary event of scattering and the distribution of the energy sources are allowed to vary with depth. Mathematically, the considered standard problems of the theory are reduced to initial-value problems which are better adapted to capabilities of the modern high speed computers. The reflectance of an atmosphere is shown to play a prominent role in describing the diffusion process since all the other characteristics of the radiation field are expressed through it. Three transfer problems frequently encountered in astrophysical applications are discussed: the radiation diffusion in the source-free medium, in a medium with arbitrarily distributed energy sources, as well as the problem of finding the statistical mean quantities, characteristics of the multiple scattering in the atmosphere.

scholarly journals Monte Carlo simulation of halos in the crystal clouds

2021 ◽  
Vol 2099 (1) ◽  
pp. 012067
Author(s):  
Q Mu ◽  
E G Kablukova ◽  
B A Kargin ◽  
S M Prigarin
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ray Tracing ◽  
Multiple Scattering ◽  
Radiation Transfer ◽  
Cirrus Clouds ◽  
Ice Crystals ◽  
The Sun ◽  
Different Shapes

Abstract In this paper, we try to answer the question: how the multiple scattering, the sun elevation, shape and orientation of ice crystals in the cirrus clouds affect a halo pattern. To study the radiation transfer in optically anisotropic clouds, we have developed the software based on Monte Carlo method and ray tracing. In addition to halos, this software enables one to simulate “anti-halos”, which above the cloud layer can be seen by observers. We present the visualization of halos and anti-halos generated by the cirrus clouds for different shapes and orientations of ice crystals.

Light scattering by ice crystals of cirrus clouds: From exact numerical methods to physical-optics approximation

2017 ◽  
Vol 195 ◽  
pp. 132-140 ◽  
Author(s):  
Alexander Konoshonkin ◽  
Anatoli Borovoi ◽  
Natalia Kustova ◽  
Hajime Okamoto ◽  
Hiroshi Ishimoto ◽  
...  
Keyword(s):  
Light Scattering ◽  
Numerical Methods ◽  
Cirrus Clouds ◽  
Ice Crystals ◽  
Physical Optics ◽  
Physical Optics Approximation
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