Development and application of the method of numerical statistical simulation for the solution of multidimensional problems of the theory of radiation transfer

1980 ◽  
Vol 20 (3) ◽  
pp. 477-481
Author(s):  
G. A. Mikhailov
Keyword(s):  
Radiation Transfer ◽  
Statistical Simulation ◽  
Multidimensional Problems

Numerically statistical simulation of the intensity field of the radiation transmitted through a random medium

2018 ◽  
Vol 33 (3) ◽  
pp. 161-171 ◽  
Author(s):  
Andrey Yu. Ambos ◽  
Gennadii A. Mikhailov
Keyword(s):  
Random Media ◽  
Radiation Transfer ◽  
Random Medium ◽  
Statistical Simulation ◽  
Angular Distributions ◽  
One Dimensional ◽  
Different Types ◽  
Intensity Field

Abstract The radiation transfer through random media of three different types was simulated numerically and statistically with the same one-dimensional distributions and correlation radii. The averaged probabilities of passages of quanta and their angular distributions practically coincide, although the calculations of correlation radii and visualizations of the corresponding brightness fields give slightly distinct results. In the calculations we used the methods of ‘double randomization’ and ‘delta-scattering’ and also statistical nuclear estimates.

New results and problems in the theory of algorithms of statistical simulation of radiation transfer

2015 ◽  
Vol 30 (2) ◽  
Author(s):  
Gennady A. Mikhailov
Keyword(s):  
Radiation Transfer ◽  
Stochastic Modelling ◽  
Statistical Simulation ◽  
Atmospheric Optics ◽  
Radiation Model ◽  
Mathematical Problems

AbstractThe paper presents new results of development of stochastic modelling algorithms for radiation transfer aimed for the study of effects caused by a stochastic radiation model and variation of its parameters. This research was initiated by G. I. Marchuk in order to solve urgent problems of atmospheric optics. Some formulations of corresponding new mathematical problems are given in the paper.

scholarly journals A Method for Estimating the Cloud Adjacency Effect on the Ground Surface Reflectance Reconstruction from Passive Satellite Observations through Gaps in Cloud Fields

Atmosphere ◽  
2021 ◽  
Vol 12 (11) ◽  
pp. 1512
Author(s):  
Mikhail V. Tarasenkov ◽  
Matvei N. Zonov ◽  
Marina V. Engel ◽  
Vladimir V. Belov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiation Transfer ◽  
Ground Surface ◽  
Interpolation Formula ◽  
Statistical Simulation ◽  
Satellite Observations ◽  
Surface Reflectance ◽  
Surface Areas ◽  
The Monte Carlo Method

A method for estimating the cloud adjacency effect on the reflectance of ground surface areas reconstructed from passive satellite observations through gaps in cloud fields is proposed. The method allows one to estimate gaps of cloud fields in which the cloud adjacency effect can be considered small (the increment of the reflectance Δrsurf≤ 0.005). The algorithm is based on statistical simulation by the Monte Carlo method of radiation transfer in stochastic broken cloudiness with a deterministic cylindrical gap. An interpolation formula is obtained for the radius of the cloud adjacency effect that can be used for the reconstruction the ground surface reflectance in real time without calculations by the Monte Carlo method.

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