Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

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Zimnyakov D. A., Alonova M. V., Yuvchenko S. A., Ushakova E. V. Mathematical Modeling of Lihgt Transfer in Low-Coherence Reflectometry of Random Media. Izvestiya of Saratov University. Physics , 2018, vol. 18, iss. 1, pp. 4-15. DOI: 10.18500/1817-3020-2018-18-1-4-15

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Optics and spectroscopy. Laser physics
UDC: 
535.36:51.73:681.785.57
DOI: 
10.18500/1817-3020-2018-18-1-4-15

Mathematical Modeling of Lihgt Transfer in Low-Coherence Reflectometry of Random Media

Autors: 
Zimnyakov Dmitry Aleksandrovich, Yuri Gagarin State Technical University of Saratov
Alonova Marina Vasil'evna, Yuri Gagarin State Technical University of Saratov
Yuvchenko Sergei Alekseevich, Yuri Gagarin State Technical University of Saratov
Ushakova Ekaterina Vladimirovna, Yuri Gagarin State Technical University of Saratov
Abstract: 

Background and Objectives: The mathematical model of stochastic interference of spectrally selected fluorescence radiation in multiple scattering random media is considered. The expressions for the normalized second- and third-order moments of spatial intensity fluctuations of detected probe light are derived. The developed model establishes the relationships between the normalized second- and third-order statistical moments of the intensity fluctuations of detected probe light and the probability density function of the pathlength differences of fluorescence radiation in probed media. The obtained theoretical results are compared with the experimental data on the reference-free low-coherence reflectometry of dye-saturated model random media pumped with a continuous-wave laser radiation. Materials and Methods: The discrete scattering model is applied to derive the basic relationships between the normalized statistical moments of intensity fluctuations and the probability density function of the pathlength differences. The Monte-Carlo technique is applied to obtain the pathlength distributions in probed media for used illumination and detection conditions. The experimental data used for verification of the developed model are obtained using model scattering systems on the base of densely packed silica grains, which are saturated by a water solution of Rhodamine 6G and pumped by continuous-wave laser radiation at the wavelength of 532 nm. Results: The adequacy of the developed mathematical model is confirmed by the obtained experimental data. The universal relationship is established between the integral parameters dependent on the probability density function of the pathlength differences and the coherence function of spectrally selected probe radiation is established. Conclusion: The obtained results can be used as the physical base for the development of novel low-coherence probes for applications in biomedical optics and material science.

Key words: 
low-coherent reflectometry
stochastic interference
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