title: On non-stationary radiation fields in an infinity one-dimensional homogeneous medium
metadata.name: dc.contributor.author
metadata.value: Kolesov, Aleksandr K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kropacheva, Natalia Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-05T09:46:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-05T09:46:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kolesov A.K., Kropacheva N.Yu. On non-stationary radiation fields in an infinity one-dimensional homogeneous medium. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 1, pp. 159–166.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.118
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6697
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper considers the non-stationary monochromatic radiative transfer in an infinite one-dimensional
  homogeneous medium. It is believed that the medium is illuminated by a momentary isotropic point
  energy source. Optical properties of the medium are characterized by the absorption coefficient α, the
  single-scattering albedo λ, the mean time t1 of the stay of a photon in the absorbed state and the mean
  time t2 of its stay on the path between two consecutive scatterings. The exact solution of the nonstationary
  radiative transfer equation was derived for the case t = t1. Asymptotic expressions were found
  for the source function of average intensity and flux when points of the medium located on the large
  optical distances from the power source |τ| ≫ 1 and scattering close to the light conservative (1 − λ ≪ 1)
  assuming that t1 ≫ t2, t1 ≪ t2, or t1 = t2. These expressions are more precise than previously known.
  Refs 13.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4 (62); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-stationary radiative transfer
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: one-dimensional medium
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: point energy source
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: source function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mean radiation intensity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: radiation flux
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic expressions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On non-stationary radiation fields in an infinity one-dimensional homogeneous medium
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 18-Kolesov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6697/1/18-Kolesov.pdf
resources.format: Adobe PDF
resources.size: 253,54 kB