A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation

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A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation. / Tracheva, Natalya ; Ukhinov, Sergey.

In: Mathematics and Computers in Simulation, Vol. 161, 01.07.2019, p. 84-92.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d137e928d32d4a0ba4777c1cdc2cfcd8,

title = "A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation",

abstract = "In this work we discuss the problem of estimation of time asymptotic parameters of polarized radiation flux in the scattering and absorbing media, illuminated by an external or an internal source. We construct a distinctive weighted Monte Carlo algorithm for evaluation of asymptotic parameters and time distribution density of polarized radiation flux. This algorithm is based on the randomized projective evaluation of the functionals via the orthonormal polynomial expansion of a special kind. We provide results of performed numerical simulation of the time distribution of the radiation intensity and degree of polarization, scattered by semi-infinite layer of the scattering and absorbing media.",

keywords = "Monte Carlo method, Polarized radiation transfer, Randomized projective estimator, Time asymptotics, INTENSITY",

author = "Natalya Tracheva and Sergey Ukhinov",

note = "Publisher Copyright: {\textcopyright} 2018 International Association for Mathematics and Computers in Simulation (IMACS)",

year = "2019",

month = jul,

day = "1",

doi = "10.1016/j.matcom.2018.10.001",

language = "English",

volume = "161",

pages = "84--92",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation

AU - Tracheva, Natalya

AU - Ukhinov, Sergey

PY - 2019/7/1

Y1 - 2019/7/1

N2 - In this work we discuss the problem of estimation of time asymptotic parameters of polarized radiation flux in the scattering and absorbing media, illuminated by an external or an internal source. We construct a distinctive weighted Monte Carlo algorithm for evaluation of asymptotic parameters and time distribution density of polarized radiation flux. This algorithm is based on the randomized projective evaluation of the functionals via the orthonormal polynomial expansion of a special kind. We provide results of performed numerical simulation of the time distribution of the radiation intensity and degree of polarization, scattered by semi-infinite layer of the scattering and absorbing media.

AB - In this work we discuss the problem of estimation of time asymptotic parameters of polarized radiation flux in the scattering and absorbing media, illuminated by an external or an internal source. We construct a distinctive weighted Monte Carlo algorithm for evaluation of asymptotic parameters and time distribution density of polarized radiation flux. This algorithm is based on the randomized projective evaluation of the functionals via the orthonormal polynomial expansion of a special kind. We provide results of performed numerical simulation of the time distribution of the radiation intensity and degree of polarization, scattered by semi-infinite layer of the scattering and absorbing media.

KW - Monte Carlo method

KW - Polarized radiation transfer

KW - Randomized projective estimator

KW - Time asymptotics

KW - INTENSITY

UR - http://www.scopus.com/inward/record.url?scp=85062809832&partnerID=8YFLogxK

U2 - 10.1016/j.matcom.2018.10.001

DO - 10.1016/j.matcom.2018.10.001

M3 - Article

AN - SCOPUS:85062809832

VL - 161

SP - 84

EP - 92

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

ER -

ID: 18863333