Geodesic
Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1560-1570

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To study the intensity of radiation transmitted through a layer of substance, a Monte Carlo algorithm is developed based on the expansion of the corresponding angular distribution density in terms of orthonormalized polynomials with a “Lambert” weight. The algorithm is optimized so as to simplify the computations as much as possible. Even a small effect of polarization and the deviation of the angular distribution from the Lambert one can be estimated rather accurately by applying the algorithm. 
@article{ZVMMF_2016_56_9_a2,
     author = {G. A. Mikhailov and N. V. Tracheva and S. A. Ukhinov},
     title = {Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {56},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a2/}
}
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G. A. Mikhailov; N. V. Tracheva; S. A. Ukhinov. Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1560-1570. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a2/