Propagation of scattered radiation in a participating planar medium with pulse irradiation

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Abstract

The integral equation in terms of angle-distance integration is developed for transient radiative transfer in an absorbing and isotropically scattering planar medium with pulse irradiation. The exact integral equation is solved by an adaptation of the quadrature method. The results obtained by the present method are in excellent agreement with those obtained by the Monte Carlo simulation. Accurate results for the time-resolved hemispherical reflectivity and transmissivity of the slab are presented. The dependence of the propagation of scattered radiation on the scattering albedo and the optical thickness is investigated.

Original languageEnglish
Pages (from-to)537-548
Number of pages12
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume64
Issue number5
DOIs
Publication statusPublished - 2000 Mar 1

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Integral equations
integral equations
Irradiation
Scattering
Radiation
transmissivity
irradiation
propagation
Radiative transfer
radiation
pulses
albedo
scattering
quadratures
optical thickness
radiative transfer
slabs
reflectance
simulation
Monte Carlo simulation

All Science Journal Classification (ASJC) codes

  • Spectroscopy
  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "The integral equation in terms of angle-distance integration is developed for transient radiative transfer in an absorbing and isotropically scattering planar medium with pulse irradiation. The exact integral equation is solved by an adaptation of the quadrature method. The results obtained by the present method are in excellent agreement with those obtained by the Monte Carlo simulation. Accurate results for the time-resolved hemispherical reflectivity and transmissivity of the slab are presented. The dependence of the propagation of scattered radiation on the scattering albedo and the optical thickness is investigated.",
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AB - The integral equation in terms of angle-distance integration is developed for transient radiative transfer in an absorbing and isotropically scattering planar medium with pulse irradiation. The exact integral equation is solved by an adaptation of the quadrature method. The results obtained by the present method are in excellent agreement with those obtained by the Monte Carlo simulation. Accurate results for the time-resolved hemispherical reflectivity and transmissivity of the slab are presented. The dependence of the propagation of scattered radiation on the scattering albedo and the optical thickness is investigated.

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JF - Journal of Quantitative Spectroscopy and Radiative Transfer

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