Influence of boundaries on the imaging of objects in turbid media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 7, 1998, Pages 1797-1812

  Paasschens, J C J ^a,b   't Hooft G W ^a  

^a PHILIPS RESEARCH LABORATORIES   (Netherlands)

^b UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010213626     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.001797     Document Type: Article

References (33)

1. P. N. den Outer, Th. M. Nieuwenhuizen, and A. Lagendijk, “Location of objects in multiple-scattering media,” J. Opt. Soc. Am. A 10, 1209–1218 (1993).
2. X. D. Zhu, S. Wei, S. C. Feng, and B. Chance, “Analysis of a diffuse-photon-density wave in multiple-scattering media in the presence of a small spherical object,” J. Opt. Soc. Am. A 13, 494–499 (1996).
3. R. C. Haskell, L. O. Svaasand, T. Tsay, T. Feng, M. S. McAdams, and B. J. Tromberg, “Boundary conditions for the diffusion equation in radiative transfer,” J. Opt. Soc. Am. A 11, 2727–2741 (1994).
4. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
5. W. M. Star, “Diffusion theory of light transport,” in Optical- Thermal Response of Laser-Irradiated Tissue, A. J. Welch and M. J. C. van Gemert, eds. (Plenum, New York, 1995), pp. 131–206.
6. D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, “Scattering of diffusive photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994).
7. A. Ya Polishchuk, S. Gutman, M. Lax, and R. R. Alfano, “Photon-density modes beyond the diffusion approximation: scalar wave-diffusion equation,” J. Opt. Soc. Am. A 14, 230–234 (1997).
8. K. Furutsu and Y. Yamada, “Diffusion approximation for a dissipative random medium and the applications,” Phys. Rev. E 50, 3634–3640 (1994).
9. M. Bassani, F. Martelli, G. Zaccanti, and D. Contini, “Independence of the diffusion coefficient from absorption: experimental and numerical evidence,” Opt. Lett. 22, 853–855 (1997).
10. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967).
11. R. Freyer, U. Hampel, M. Forejtek, and C. T. Luu, “Detection of local inhomogeneities in scattering media using tomographic reconstruction techniques,” in Proceedings of Photon Propagation in Tissues, B. Chance, D. T. Delpy, G. J. Muller, and A. Katzir, eds., Proc. SPIE 2626, 316–327 (1995).
12. M. R. Ostermeyer and S. L. Jacques, “Perturbation theory for diffuse light transport in complex biological tissues,” J. Opt. Soc. Am. A 14, 255–261 (1997).
13. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, “A finite element approach for modeling photon transport in tissue,” Med. Phys. 20, 299–309 (1993).
14. H. Jiang, K. D. Paulsen, and U. L. Osterberg, “Optical image reconstruction using DC data: simulations and experiments,” Phys. Med. Biol. 41, 1483–1498 (1996).
15. S. B. Colak, D. G. Papaioannou, G. W.’t Hooft, M. B. van der Mark, H. Schomberg, J. C. J. Paasschens, J. B. M. Me- lissen, and N. A. A. J. van Asten, “Tomographic image reconstruction from optical projections in light-diffusing media,” Appl. Opt. 36, 180–213 (1997).
16. Y. Yao, Y. Wang, Y. Pei, W. Zhu, and R. L. Barbour, “Frequency-domain optical imaging of absorption and scattering distributions by a Born iterative method,” J. Opt. Soc. Am. A 14, 325–342 (1997).
17. W. Zhu, Y. Wang, Y. Yao, J. Chang, H. L. Graber, and R. L. Barbour, “Iterative total least- quares image- reconstruction algorithm for optical tomography by the conjugate-gradient method,” J. Opt. Soc. Am. A 14, 799–807 (1997).
18. S. Feng, F. Zeng, and B. Chance, “Monte Carlo simulations of photon migration path distributions in multiple scattering media,” in Photon Migration and Imaging in Random Media and Tissues, B. Chance and R. R. Alfano, eds., Proc. SPIE 1888, 78–89 (1993).
19. J. C. Schotland, J. C. Haselgrove, and J. S. Leigh, “Photon hitting density,” Appl. Opt. 32, 448–453 (1993).
20. S. Feng, F. Zeng, and B. Chance, “Photon migration in the presence of a single defect: a perturbation analysis,” Appl. Opt. 34, 3826–3837 (1995).
21. Th. M. Nieuwenhuizen and M. C. W. van Rossum, “Role of a single scatterer in a multiple scattering medium,” Phys. Lett. A 177, 102–106 (1993).
22. J. X. Zhu, D. J. Pine, and D. A. Weitz, “Internal reflection of diffusive light in random media,” Phys. Rev. A 44, 3948–3959 (1991).
23. R. Aronson, “Extrapolation distance for diffusion of light,” in Photon Migration and Imaging in Random Media and Tissues, B. Chance and R. R. Alfano, eds., Proc. SPIE 1888, 297–305 (1993).
24. Th. M. Nieuwenhuizen and J. M. Luck, “Skin layer of diffusive media,” Phys. Rev. E 48, 569–588 (1993).
25. A. Yodh and B. Chance, “Spectroscopy and imaging with diffusing light,” Phys. Today 48 (March), 34–40 (1995).
26. S. Fantini, M. A. Franceschini-Fantini, J. S. Maier, S. A. Walker, B. Barbieri, and E. Gratton, “Frequency-domain multichannel optical detector for noninvasive tissue spectroscopy and oximetry,” Opt. Eng. (Bellingham) 34, 32–42 (1995).
27. D. J. Durian, “Influence of boundary reflection and refraction on diffusive photon transport,” Phys. Rev. E 50, 857–866 (1994).
28. C. P. Gonatas, M. Miwa, M. Ishii, J. Schotland, B. Chance, and J. S. Leigh, “Effects due to geometry and boundary conditions in multiple light scattering,” Phys. Rev. E 48, 2212–2216 (1993).
29. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
30. S. R. Arridge, M. Cope, and D. T. Delpy, “The theoretical basis for the determination of optical pathlengths in tissue: temporal and frequency analysis,” Phys. Med. Biol. 37, 1531–1560 (1992).
31. S. Fantini, M. A. Franceschini, and E. Gratton, “Semi-infinite-geometry boundary problem for light migration in highly scattering media: a frequency-domain study in the diffusion approximation,” J. Opt. Soc. Am. B 11, 2128–2138 (1994).
32. M. S. Patterson, B. Chance, and B. C. Wilson, “Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties,” Appl. Opt. 28, 2331–2336 (1989).
33. M. N. Barber and B. W. Ninham, Random and Restricted Walks (Gordon and Breach, New York, 1970).