V. S. Kuznetsov, O. V. Nikolaeva, L. P. Bass, A. V. Bykov, A. V. Priezzhev, “Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium”, Mat. Model., 21:4 (2009), 3–14; Math. Models Comput. Simul., 2:1 (2010), 22

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Matematicheskoe modelirovanie, 2009, Volume 21, Number 4, Pages 3–14 (Mi mm2754)

This article is cited in 9 scientific papers (total in 9 papers)

Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium

V. S. Kuznetsov^a, O. V. Nikolaeva^b, L. P. Bass^b, A. V. Bykov^cd, A. V. Priezzhev^c

^a Russian Research Centre "Kurchatov Institute"
^b Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
^c Lomonosov Moscow State University
^d University of Oulu, Oulu, Finland

Full-text PDF (349 kB) Citations (9)

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Abstract: The problem of probing of a nonuniform medium mimicking biological tissue with an ultrashort light pulse is under consideration. Pulse propagation through the medium is described by the time-dependent transport equation which is solved with a grid algorithm. The solution technique relies on analytical representation of nonscattered light intensity and hemi-analytical method of single-scattered light intensity calculation. Numerical results obtained both by the grid algorithm and Monte-Carlo method are presented.

Received: 11.03.2008

English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 1, Pages 22–32
DOI: https://doi.org/10.1134/S2070048210010035

Bibliographic databases:

Language: Russian

Citation: V. S. Kuznetsov, O. V. Nikolaeva, L. P. Bass, A. V. Bykov, A. V. Priezzhev, “Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium”, Mat. Model., 21:4 (2009), 3–14; Math. Models Comput. Simul., 2:1 (2010), 22–32

Citation in format AMSBIB

\Bibitem{KuzNikBas09}

\by V.~S.~Kuznetsov, O.~V.~Nikolaeva, L.~P.~Bass, A.~V.~Bykov, A.~V.~Priezzhev

\paper Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium

\jour Mat. Model.

\yr 2009

\vol 21

\issue 4

\pages 3--14

\mathnet{http://mi.mathnet.ru/mm2754}

\transl

\jour Math. Models Comput. Simul.

\yr 2010

\vol 2

\issue 1

\pages 22--32

\crossref{https://doi.org/10.1134/S2070048210010035}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928987219}

Linking options:

https://www.mathnet.ru/eng/mm2754

https://www.mathnet.ru/eng/mm/v21/i4/p3

This publication is cited in the following 9 articles:

M. A. Donskaya, I. P. Yarovenko, “O vybore metoda rozygrysha svobodnogo probega pri reshenii nestatsionarnogo uravneniya perenosa izlucheniya s ispolzovaniem graficheskikh uskoritelei”, Dalnevost. matem. zhurn., 24:1 (2024), 33–44
P A Vornovskikh, I V Prokhorov, “Applicability of the single-scattering approximation for the ocean acoustic sounding”, J. Phys.: Conf. Ser., 1715:1 (2021), 012051
P. A. Vornovskikh, A. Kim, I. V. Prokhorov, “Primenimost priblizheniya odnokratnogo rasseyaniya pri impulsnom zondirovanii neodnorodnoi sredy”, Kompyuternye issledovaniya i modelirovanie, 12:5 (2020), 1063–1079
A. Kim, I. V. Prokhorov, “Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions”, Comput. Math. Math. Phys., 58:5 (2018), 735–749
Bykov A., Doronin A., Meglinski I., “Light Propagation in Turbid Tissue-Like Scattering Media”, Deep Imaging in Tissue and Biomedical Materials: Using Linear and Nonlinear Optical Methods, eds. Shi L., Alfano R., Pan Stanford Publishing Pte Ltd, 2017, 295–322
I. V. Prokhorov, “The Cauchy problem for the radiative transfer equation with generalized conjugation conditions”, Comput. Math. Math. Phys., 53:5 (2013), 588–600
E. N. Aristova, B. V. Rogov, “About implementation of boundary conditions in the bicompact schemes for a linear transport equation”, Math. Models Comput. Simul., 5:3 (2013), 199–207
B. V. Rogov, M. N. Mikhailovskaya, “The monotonic bicompact schemes for a linear transfer equation”, Math. Models Comput. Simul., 4:1 (2012), 92–100
Rogov B.V., Mikhailovskaya M.N., “Monotone bicompact schemes for a linear advection equation”, Dokl. Math., 83:1 (2011), 121–125

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	888
Full-text PDF :	193
References:	105
First page:	25

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