Geodesic
Monte Carlo study of time asymptotics of the polarized radiation intensity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1264-1275

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The parameters of time asymptotics of the polarized radiation intensity are estimated. Precision Monte Carlo estimates of these parameters are derived for finite medium layers by iterating the resolvent of the corresponding transfer operator with a given scattering matrix and by evaluating parametric time derivatives. The computations are performed for two versions of the problem: with a Rayleigh scattering matrix and an aerosol scattering matrix. It is shown that the asymptotics of the radiation intensity are affected by polarization, except for the spatially homogeneous problem, for which the results are obtained analytically. 
@article{ZVMMF_2007_47_7_a11,
     author = {G. A. Mikhailov and N. V. Tracheva and S. A. Uhinov},
     title = {Monte {Carlo} study of time asymptotics of the polarized radiation intensity},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1264--1275},
     publisher = {mathdoc},
     volume = {47},
     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a11/}
}
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G. A. Mikhailov; N. V. Tracheva; S. A. Uhinov. Monte Carlo study of time asymptotics of the polarized radiation intensity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1264-1275. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a11/