Abstract:
Numerical-statistical estimates of correlation characteristics and averaged angle near distributions of the radiation intensity field, passing throw a random medium are obtained. Comparative investigations were performed for an elementary Poisson field and for the “realistic” field of the medium optical density. The obtained estimates confirm the hypothesis about a strong dependence of investigated values on the correlation scale and the one-dimensional distribution of the medium density field.
Key words:
Monte Carlo method, Poisson ensemble, random medium, correlation function, correlation radius, radiative transfer, transmission function, transmission probability, delta scattering, double randomization method.
This work was performed under Institute of Computational Mathematics and Mathematical Geophysics SB RAS State Order (project no. 0315-2016-0002). Work of Sections 4–6 was supported by the RFBR (projects nos. 16-01-00530, 17-01-00823, and 18-01-00356).
Citation:
A. Yu. Ambos, G. A. Mikhailov, “Estimation by Monte Carlo method of functional characteristics of the radiation intensity field passing throw a random medium”, Sib. Zh. Vychisl. Mat., 21:4 (2018), 349–365; Num. Anal. Appl., 11:4 (2018), 279–292