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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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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/

[1] Jacques S. L., “Time-resolved reflectance spectroscopy in turbid tissues”, IEEE Trans. Biomed. Eng., 36 (1989), 1155–1161 | DOI

[2] Chursin D. A., Shutov I. V., Shuvalov V.V., Spatial resolution, measuring time, and fast visualization of hidden deep “phantoms” in diffusion optical tomography of extended scattering object, Laser Physics, 11, 2001, 636 pp.

[3] Ripoll J., Ntziachristos V., Culver J. P., Pattanayak D. N., Yodh A. G., Nieto-Vesperinas M., “Recovery of optical parameters in multiple-layered diffusive media: theory and experiments”, J. Opt. Soc. Am. A Opt. Image Sci. Vis., 18:4 (2001), 821–830 | DOI

[4] Rodriges Kh., Yaroslavskii I. V., Yaroslavskaya A. N., Battarbi G., Tuchin V. V., “Vizualizatsiya s vremennym razresheniem v rasseivayuschikh sredakh”, Opticheskaya biomeditsinskaya diagnostika, T. 1, ed. V. V. Tuchin, Fizmatlit, M., 2007, 312–356

[5] Kandidov V. P., “Metod Monte-Karlo v nelineinoi statisticheskoi optike”, UFN, 166 (1996), 1309–1338 | DOI

[6] Kandidov V. P., Militsin V. O., Bykov A. V., Priezzhev A. V., “Ispolzovanie korpuskulyarnogo i volnovogo metodov Monte-Karlo v optike dispersnykh sred”, Kvant. elektronika, 36:11 (2006), 1003–1008

[7] Bykov A. V., Kirillin M. Yu., Priezzhev A. V., Myullyulya R., “Modelirovanie signala prostranstvenno-razreshennoi reflektometrii ot trekhsloinoi sredy s silnym rasseyaniem primenitelno k probleme opredeleniya soderzhaniya glyukozy v kozhe cheloveka”, Kvant. elektronika, 36:12 (2006), 1125–1130

[8] Bass L. P., Nikolaeva O. V., Kuznetsov V. S., Bykov A. V., Priezzhev A. V., Dergachev A. A., “Modelirovanie rasprostraneniya opticheskogo izlucheniya v fantome biologicheskoi tkani na superEVM MVS1000/M”, Matematicheskoe modelirovanie, 18:1 (2006), 29–42 | Zbl

[9] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, M., 1962

[10] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1976 | MR | Zbl

[11] Bass L. P., Voloschenko A. M., Germogenova T. A., Metod diskretnykh ordinat v zadachakh perenosa izlucheniya, IPM im. M. V. Keldysha, 1986, 231 pp.