TY - JOUR

T1 - Modifications of the standard vector Monte Carlo estimate for characteristics analysis of scattered polarized radiation

AU - Mikhailov, G. A.

AU - Prigarin, S. M.

AU - Rozhenko, S. A.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85035063312&partnerID=8YFLogxK

U2 - 10.1134/S1064562417050143

DO - 10.1134/S1064562417050143

M3 - Article

AN - SCOPUS:85035063312

VL - 96

SP - 461

EP - 464

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 2

ER -