Monte Carlo and Milne-like solutions for temporal correlation function in a wide temporal range

•The Milne problem is solved analytically for the temporal correlation function.•The Bethe–Salpeter based numeric algorithm reproduces the Milne solution benchmarks.•The absorption is accounted for shifting the temporal argument.•For thick layers the correlation function dependence on time becomes u...

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Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 2021-09, Vol.272, p.107760, Article 107760
Main Authors: Kuzmin, V.L., Valkov, A.Yu
Format: Article
Language:English
Subjects:
Diffuse correlation spectroscopy
Monte-Carlo simulation
Multiple scattering
Radiative transfer
Temporal correlation function
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Summary:•The Milne problem is solved analytically for the temporal correlation function.•The Bethe–Salpeter based numeric algorithm reproduces the Milne solution benchmarks.•The absorption is accounted for shifting the temporal argument.•For thick layers the correlation function dependence on time becomes universal. The Milne problem for the temporal correlation function of radiation backscattered from a half space is solved analytically. The angular and temporal dependencies calculated with the Monte Carlo simulations coincide with high precision with the Milne-like solution for a near isotropic scattering; for a highly anisotropic scattering the Monte Carlo results turn to be in a fair agreement with the known measurement, while the Milne-like solution greatly disagree with the experiment. Effects of finite thickness and non-zero absorption are also considered.
ISSN:0022-4073
1879-1352
DOI:10.1016/j.jqsrt.2021.107760