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Multiple scattering by a collection of randomly located obstacles Part IV: The effect of the pair correlation function

Kristensson, Gerhard LU ; Gustavsson, Magnus and Wellander, Niklas (2021) In Technical Report LUTEDX/(TEAT-7272)/1-23/(2021)
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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publication status
published
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in
Technical Report LUTEDX/(TEAT-7272)/1-23/(2021)
pages
23 pages
report number
TEAT-7272
language
English
LU publication?
yes
id
f62904a5-788a-4b7b-9d4c-8e3e0a05d0cb
date added to LUP
2021-11-05 10:44:13
date last changed
2023-02-03 15:35:16
@techreport{f62904a5-788a-4b7b-9d4c-8e3e0a05d0cb,
  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}},
  language     = {{eng}},
  number       = {{TEAT-7272}},
  series       = {{Technical Report LUTEDX/(TEAT-7272)/1-23/(2021)}},
  title        = {{Multiple scattering by a collection of randomly located obstacles Part IV: The effect of the pair correlation function}},
  url          = {{https://lup.lub.lu.se/search/files/123871389/TEAT_7272.pdf}},
  year         = {{2021}},
}