Skip to main content
Log in

Application of the method of smooth perturbations to the solution of problems of optical tomography of strongly scattering objects containing absorbing macroinhomogeneities

  • Physical and Quantum Optics
  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

It is shown that the solution of the nonstationary diffusion equation by the Rytov method of smooth perturbations can be represented in the form of a path integral taken along the mean photon trajectory. This form is convenient for the tomographic reconstruction of the distribution of macroinhomogeneities in a strongly scattering medium.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. R. Arridge, in Proceedings of the International Conference “Biomedical Optics” Technical Digest, Munich, Germany, 1999, pp. 206–208.

  2. V. V. Lyubimov, Opt. Spektrosk. 80, 687 (1996) [Opt. Spectrosc. 80, 616 (1996)].

    Google Scholar 

  3. V. V. Lyubimov, Opt. Spektrosk. 81, 330 (1996) [Opt. Spectrosc. 81, 299 (1996)].

    Google Scholar 

  4. V. B. Volkonskiĭ, O. V. Kravtsenyuk, V. V. Lyubimov, et al., Opt. Spektrosk. 86, 299 (1999) [Opt. Spectrosc. 86, 253 (1999)].

    Google Scholar 

  5. O. V. Kravtsenyuk and V. V. Lyubimov, Opt. Spektrosk. 88, 670 (2000) [Opt. Spectrosc. 88, 608 (2000)].

    Article  Google Scholar 

  6. F. Natterer, in The Mathematics of Computerised Tomography (John Wiley and Sons, Chichester, 1986; Mir, Moscow, 1990), p. 279.

    Google Scholar 

  7. V. V. Lyubimov, O. V. Kravtsenyuk, O. V. Lyamtsev, et al., Proc. SPIE 3262, 276 (1998).

    Article  ADS  Google Scholar 

  8. S. M. Rytov, Izv. Akad. Nauk SSSR, Ser. Fiz., No. 2, 223 (1937).

    Google Scholar 

  9. V. L. Mironov, in Propagation of a Laser Beam in a Turbulent Atmosphere (Nauka, Novosibirsk, 1981), p. 246.

    Google Scholar 

  10. B. M. Budak, A. A. Samarskiĭ, and A. N. Tikhonov, Collection of Exercises on Mathematical Physics (Nauka, Moscow, 1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Lyubimov.

Additional information

Original Russian Text Copyright © 2000 by Kravtsenyuk, Lyubimov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kravtsenyuk, O.V., Lyubimov, V.V. Application of the method of smooth perturbations to the solution of problems of optical tomography of strongly scattering objects containing absorbing macroinhomogeneities. Opt. Spectrosc. 89, 107–112 (2000). https://doi.org/10.1134/BF03355997

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/BF03355997

Keywords

Navigation