On nonstationary radiation fields in an infinite one-dimensional homogeneous medium

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On nonstationary radiation fields in an infinite one-dimensional homogeneous medium. / Kolesov, A. K. ; Kropacheva, N. Yu. .

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 1, 2017, p. 90-95.

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Kolesov, A. K. ; Kropacheva, N. Yu. . / On nonstationary radiation fields in an infinite one-dimensional homogeneous medium. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 1. pp. 90-95.

BibTeX

@article{0181ac5a615b49e78eeafccb77ad0bac,

title = "On nonstationary radiation fields in an infinite one-dimensional homogeneous medium",

abstract = "This paper considers nonstationary monochromatic radiative transfer in an infinite onedimensional homogeneous medium. The medium is considered to be illuminated by a momentary isotropic point energy source. The optical properties of the medium are characterized by the absorption coefficient α, the single-scattering albedo λ, the mean time t 1 of photon stay in the absorbed state, and the mean time t 2 of its stay on the path between two consecutive scatterings. The exact solution of the nonstationary radiative transfer equation has been obtained for the case t 1 = t 2. Asymptotic expressions have been derived for the source function, for the average intensity, and for radiation flux when points of the medium are located at large optical distances from the power source |τ| ≫ 1 and for small absorption of light in the medium (1 − λ ≪ 1), assuming that t 1 ≫ t 2, t 1 ≪ t 2, or t 1 = t 2. These expressions are more precise than the ones previously known.",

keywords = "NONSTATIONARY RADIATIVE TRANSFER, one-dimensional medium, POINT ENERGY SOURCE, source function, MEAN RADIATION INTENSITY, RADIATION FLUX, Asymptotic expressions",

author = "Kolesov, {A. K.} and Kropacheva, {N. Yu.}",

note = "Kolesov, A.K., Kropacheva, N.Y. On nonstationary radiation fields in an infinite one-dimensional homogeneous medium. Vestnik St.Petersb. Univ.Math. 50, 90–95 (2017). https://doi.org/10.3103/S106345411701006X",

year = "2017",

language = "English",

volume = "50",

pages = "90--95",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - On nonstationary radiation fields in an infinite one-dimensional homogeneous medium

AU - Kolesov, A. K.

AU - Kropacheva, N. Yu.

N1 - Kolesov, A.K., Kropacheva, N.Y. On nonstationary radiation fields in an infinite one-dimensional homogeneous medium. Vestnik St.Petersb. Univ.Math. 50, 90–95 (2017). https://doi.org/10.3103/S106345411701006X

PY - 2017

Y1 - 2017

N2 - This paper considers nonstationary monochromatic radiative transfer in an infinite onedimensional homogeneous medium. The medium is considered to be illuminated by a momentary isotropic point energy source. The optical properties of the medium are characterized by the absorption coefficient α, the single-scattering albedo λ, the mean time t 1 of photon stay in the absorbed state, and the mean time t 2 of its stay on the path between two consecutive scatterings. The exact solution of the nonstationary radiative transfer equation has been obtained for the case t 1 = t 2. Asymptotic expressions have been derived for the source function, for the average intensity, and for radiation flux when points of the medium are located at large optical distances from the power source |τ| ≫ 1 and for small absorption of light in the medium (1 − λ ≪ 1), assuming that t 1 ≫ t 2, t 1 ≪ t 2, or t 1 = t 2. These expressions are more precise than the ones previously known.

AB - This paper considers nonstationary monochromatic radiative transfer in an infinite onedimensional homogeneous medium. The medium is considered to be illuminated by a momentary isotropic point energy source. The optical properties of the medium are characterized by the absorption coefficient α, the single-scattering albedo λ, the mean time t 1 of photon stay in the absorbed state, and the mean time t 2 of its stay on the path between two consecutive scatterings. The exact solution of the nonstationary radiative transfer equation has been obtained for the case t 1 = t 2. Asymptotic expressions have been derived for the source function, for the average intensity, and for radiation flux when points of the medium are located at large optical distances from the power source |τ| ≫ 1 and for small absorption of light in the medium (1 − λ ≪ 1), assuming that t 1 ≫ t 2, t 1 ≪ t 2, or t 1 = t 2. These expressions are more precise than the ones previously known.

KW - NONSTATIONARY RADIATIVE TRANSFER

KW - one-dimensional medium

KW - POINT ENERGY SOURCE

KW - source function

KW - MEAN RADIATION INTENSITY

KW - RADIATION FLUX

KW - Asymptotic expressions

UR - https://www.elibrary.ru/item.asp?id=29483389

UR - https://link.springer.com/article/10.3103/S106345411701006X

M3 - Article

VL - 50

SP - 90

EP - 95

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 38794385