Geodesic
Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium
Matematičeskoe modelirovanie, Tome 21 (2009) no. 4, pp. 3-14

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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. 
@article{MM_2009_21_4_a0,
     author = {V. S. Kuznetsov and O. V. Nikolaeva and L. P. Bass and A. V. Bykov and A. V. Priezzhev},
     title = {Mathematical modeling of the ultrashort light pulse propagation in strongly scattering medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_4_a0/}
}
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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. Matematičeskoe modelirovanie, Tome 21 (2009) no. 4, pp. 3-14. http://geodesic.mathdoc.fr/item/MM_2009_21_4_a0/