Modifications of the standard vector Monte Carlo estimate for characteristics analysis of scattered polarized radiation

There are two versions of weighted vector algorithms for the statistical modeling of polarized radiative transfer: a “standard” one, which is convenient for parametric analysis of results, and an “adaptive” one, which ensures finite variances of estimates. The application of the adaptive algorithm i...

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Bibliographic Details
Published in:Doklady. Mathematics 2017-09, Vol.96 (2), p.461-464
Main Authors: Mikhailov, G. A., Prigarin, S. M., Rozhenko, S. A.
Format: Article
Language:English
Subjects:
Adaptive algorithms
Algorithms
Computer simulation
Mathematical models
Mathematics
Mathematics and Statistics
Modelling
Parametric analysis
Polarized radiation
Radiative transfer
Statistical models
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Summary:There are two versions of weighted vector algorithms for the statistical modeling of polarized radiative transfer: a “standard” one, which is convenient for parametric analysis of results, and an “adaptive” one, which ensures finite variances of estimates. The application of the adaptive algorithm is complicated by the necessity of modeling the previously unknown transition density. An optimal version of the elimination algorithm used in this case is presented in this paper. A new combined algorithm with a finite variance and an algorithm with a mixed transition density are constructed. The comparative efficiency of the latter is numerically studied as applied to radiative transfer with a molecular scattering matrix.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562417050143