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Optical tomography problems: Investigation by the methods of the radiation transport theory

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Abstract

The problems of the optical diagnostics of inhomogeneous layered media are numerically studied. The question of the optical clearing of media is considered. A method for determining relative refractive indices from tomographic transmission data is proposed.

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References

  1. G. I. Marchuk, G. A. Mikhaĭlov, M. A. Nazarliev, et al., The Monte Carlo Method in Atmospheric Optics (Nauka, Novosibirsk, 1976) [in Russian].

    Google Scholar 

  2. A. Ishimaru, Wave Propagation and Scattering in Random Media, 2nd ed. (Oxford Univ. Press, Oxford, 1997; Mir, Moscow, 1981).

    MATH  Google Scholar 

  3. V. V. Tuchin, Usp. Fiz. Nauk 167(5), 517 (1997) [Phys. Usp. 40, 495 (1997)].

    Article  Google Scholar 

  4. V. V. Berdnik, Opt. Spektrosk. 99(1), 105 (2005) [Opt. Spectrosc. 99 (1), 98 (2005)].

    Article  ADS  Google Scholar 

  5. A. Yu. Seteĭkin, Opt. Spektrosk. 99(4), 685 (2005) [Opt. Spectrosc. 99 (4), 659 (2005)].

    Google Scholar 

  6. H. W. Jensen, S. R. Marschner, M. Levoy, and P. Hanrahan, in Proceedings of SIGGRAPH’2001, Los Angeles, USA (Los Angeles, 2001), pp. 511–518.

  7. H. W. Jensen, Realistic Image Synthesis Using Photon Mapping (AK Peters, Wellesley, 2001).

    MATH  Google Scholar 

  8. D. S. Anikonov, A. E. Kovtanyuk, and I. V. Prokhorov, The Use of the Transport Equation in Tomography (Logos, Moscow, 2000) [in Russian].

    Google Scholar 

  9. D. S. Anikonov, V. G. Nazarov, and I. V. Prokhorov, Poorly Visible Media in X-Ray Tomography (VSP, Boston, 2002), p. viii+294p.

    MATH  Google Scholar 

  10. I. V. Prokhorov, Zh. Vychisl. Mat. Mat. Fiz. 42(10), 1542 (2002).

    MATH  MathSciNet  Google Scholar 

  11. I. V. Prokhorov, Izv. Ross. Akad. Nauk, Ser. Math. 67(6), 169 (2003).

    MATH  MathSciNet  Google Scholar 

  12. I. V. Prokhorov and I. P. Yarovenko, Sib. Zh. Industr. Mat. 6(1), 93 (2003).

    MATH  MathSciNet  Google Scholar 

  13. I. V. Prokhorov and I. P. Yarovenko, Sib. Élektron. Mat. Izv. 2, 88 (2005).

    MathSciNet  MATH  Google Scholar 

  14. I. V. Prokhorov, I. P. Yarovenko, and T. V. Krasnikova, J. Inverse and Ill-Posed Problems 13(4), 365 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  15. A. N. Zaĭdel’, G. V. Ostrovskaya, and Yu. I. Ostrovskiĭ, Technology and Practice of Spectroscopy (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  16. A. M. Filachev, L. D. Saginov, A. S. Kononov, et al., http://zhurnal.ape.relarn.ru/articles/2005/159.pdf.

  17. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1969; Nauka, Moscow 1973).

    MATH  Google Scholar 

  18. V. B. Glasko, A. N. Tikhonov, and A. V. Tikhonravov, Zh. Vychisl. Mat. Mat. Fiz. 14(1), 135 (1974).

    Google Scholar 

  19. A. G. Sveshnikov, A. V. Tikhonravov, and S. A. Yanshin, Zh. Vychisl. Mat. Mat. Fiz. 23(4), 929 (1983).

    MathSciNet  Google Scholar 

  20. A. G. Sveshnikov and A. V. Tikhonravov, in Mathematical Methods in Theory of Synthesis of Thin-Layer Systems, Ed. by A. N. Tikhonov and A. V. Goncharskiĭ (Mosk. Gos. Univ., Moscow, 1987) [in Russian], pp. 254–274.

    Google Scholar 

  21. V. V. Tuchin, A. N. Bashkatov, É. A. Genina, et al., Pis’ma Zh. Tekh. Fiz. 27(12), 10 (2001) [Tech. Phys. Lett. 27, 489 (2001)].

    Google Scholar 

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Original Russian Text © I.V. Prokhorov, I.P. Yarovenko, 2006, published in Optika i Spektroskopiya, 2006, Vol. 101, No. 5, pp. 817–824.

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Prokhorov, I.V., Yarovenko, I.P. Optical tomography problems: Investigation by the methods of the radiation transport theory. Opt. Spectrosc. 101, 769–776 (2006). https://doi.org/10.1134/S0030400X0611018X

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  • DOI: https://doi.org/10.1134/S0030400X0611018X

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