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The coherent electromagnetic field and the effect of the pair distribution function

Kristensson, Gerhard LU ; Gustavsson, Magnus LU and Wellander, Niklas LU (2022) In Journal of Quantitative Spectroscopy and Radiative Transfer 285.
Abstract
The effect of two different pair correlation functions, used to model multiple scattering in a slab filled with randomly located spherical particles, is investigated. Specifically, the Percus-Yevick approximation is employed and a comparison with the simple hole correction is made. The kernel entries of the hole correction have an analytic solution, which makes the numerical solution of the integral equations possible. The kernel entries of Percus-Yevick approximation are integrated numerically after a subtraction of the slowly converging part in the integrand. Several numerical examples illustrate the effect of the two pair correlation functions, and we also make a comparison with the predictions Bouguer-Beer law gives.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Quantitative Spectroscopy and Radiative Transfer
volume
285
article number
108178
publisher
Elsevier
external identifiers
  • scopus:85127879228
ISSN
0022-4073
DOI
10.1016/j.jqsrt.2022.108178
language
English
LU publication?
yes
id
791d80b4-2bb6-4ac8-a94c-9314608194a9
date added to LUP
2022-04-02 14:03:26
date last changed
2022-06-14 12:02:51
@article{791d80b4-2bb6-4ac8-a94c-9314608194a9,
  abstract     = {{The effect of two different pair correlation functions, used to model multiple scattering in a slab filled with randomly located spherical particles, is investigated. Specifically, the Percus-Yevick approximation is employed and a comparison with the simple hole correction is made. The kernel entries of the hole correction have an analytic solution, which makes the numerical solution of the integral equations possible. The kernel entries of Percus-Yevick approximation are integrated numerically after a subtraction of the slowly converging part in the integrand. Several numerical examples illustrate the effect of the two pair correlation functions, and we also make a comparison with the predictions Bouguer-Beer law gives.}},
  author       = {{Kristensson, Gerhard and Gustavsson, Magnus and Wellander, Niklas}},
  issn         = {{0022-4073}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Quantitative Spectroscopy and Radiative Transfer}},
  title        = {{The coherent electromagnetic field and the effect of the pair distribution function}},
  url          = {{http://dx.doi.org/10.1016/j.jqsrt.2022.108178}},
  doi          = {{10.1016/j.jqsrt.2022.108178}},
  volume       = {{285}},
  year         = {{2022}},
}