### Михайлов Г.А. Tracheva N.V. Ukhinov S.A.

## Monte Carlo algorithm for evaluation of angular distribution of polarized radiation

### Reporter: Tracheva N.V.

MONTE CARLO ALGORITHM FOR EAVALUATION OF

ANGULAR DISTRIBUTION OF POLARIZED RADIATION

G. A. Michailov, N. V. Tracheva, S. A. Ukhinov

ICMMG SB RAS, Novosibirsk

Novosibirsk state university, Novosibirsk

gam@sscc.ru, tnv@osmf.sscc.ru, sau@sscc.ru

In this paper new Monte Carlo method for evaluation of angular distribution of outgoing polarized radiation is suggested. This method is based on modification of N. N. Chentsov method for unknown probability density evaluation [1]. In suggested algorithm we use orthonormal with “Lambertian” weight polynomial expansion of angular distribution density of radiation [2]. By means of precise computer simulation with this algorithm we can accurately evaluate even a small effect of polarization on angular distribution of radiation and deviation of the calculated distribution from the Lambertian one.

The project has been partially supported by following grants: Program of fundamental research of RAS Presidium no. 43, RFBR (no. 13-01-00441, no. 13-01-00746, no. 15-01-00894), Project Scientific schools SS-5111.2014.1.

REFERENCES

1. Chentsov N. N. Statistical Decision Rules and Optimal conclusions, M.: Nauka, 1972. P. 520. (In Russian. Statisticheskie Reshajushie Pravila i Optimalnie vivodi).

2. Mikhailov G. A. Some Questions of Theory of Monte Carlo Methods. Novosibirsk: Nauka, 1974. P. 144. (In Russian. Nekotorie Voprosi Teorii Metodov Monte-Karlo).

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