Photon path distribution in inhomogeneous turbid media: Theoretical analysis and a method of calculation

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

Volumn 19, Issue 7, 2002, Pages 1383-1389

  Tsuchiya, Yutaka ^a  

^a CENTRAL RESEARCH LABORATORY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; LIGHT ABSORPTION; NUMERICAL METHODS; PHOTODETECTORS;

PHOTON PATH DISTRIBUTION (PPD);

PHOTONS;

ARTICLE; OPTICS; PHOTON; THEORETICAL MODEL;

MODELS, THEORETICAL; OPTICS; PHOTONS;

EID: 0036634804     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.001383     Document Type: Article

References (32)

1. F. F. Jöbsis, "Noninvasive infrared monitoring of cerebral and myocardial oxygen sufficiency and circulatory parameters," Science 198, 1264-1267 (1977).
2. B. Chance and R. R. Alfano, eds., Photon Migration and Imaging in Random Media and Tissues, Proc. SPIE 1888, (1993).
3. B. Chance and R. R. Alfano, eds., Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, Proc. SPIE 2389 (1995).
4. B. Chance and R. R. Alfano, eds., Optical Tomography and Spectroscopy of Tissues: Theory, Instrumentation, Model, and Human Studies II, Proc. SPIE 2979 (1997).
5. B. Chance, R. R. Alfano, and B. Tromberg eds., Optical Tomography and Spectroscopy of Tissue III, Proc. SPIE 3597 (1999).
6. Y. Tsuchiya, "Photon path distribution and optical responses of turbid media: theoretical analysis based on the microscopic Beer-Lambert law," Phys. Med. Biol. 46, 2067-2084 (2001).
7. S. R. Arridge and J. C. Hebden, "Optical imaging in medicine: II. Modelling and reconstruction," Phys. Med. Biol. 42, 841-853 (1997).
8. B. C. Wilson and G. Adam, "Monte Carlo model for the absorption and flux distributions of light in tissue," Med. Phys. 10, 824-830 (1983).
9. P. van der Zee and D. T. Delpy, "Simulation of the point spread function for light in tissue by a Monte Carlo method," Adv. Exp. Med. Biol. 215, 179-192 (1987).
10. H. L. Graber, J. Chang, R. Aronson, and R. L. Barbour, "A perturbation model for imaging in dense scattering media: derivation and evaluation of imaging operators," in Medical Optical Tomography: Functional Imaging and Monitoring, Vol. IS11 of SPIE International Series (SPIE, Bellingham, Wash., 1993), pp. 121-143.
11. Y. Tsuchiya, K. Ohta, and T. Urakami, "Isotropie photon injection for noninvasive tissue spectroscopy," Jpn. J. Appl. Phys. 34, 2495-2501 (1995).
12. E. Okada, M. Firbank, M. Schweiger, S. R. Arridge, M. Cope, and D. T. Delpy, "Theoretical and experimental investigation of near-infrared light propagation in a model of the adult head," Appl. Opt. 36, 21-31 (1997).
13. 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).
14. L. T. Perelman, J. Wu, I. Itzkan, and S. F. Feld, "Photon migration in turbid media using path integrals," Phys. Rev. Lett. 72, 1341-1344 (1994).
15. J. N. Winn, L. T. Perelman, K. Chen, J. Wu, R. R. Dasari, and M. A. Feld, "Distribution of the paths of early-arriving photons traversing a turbid medium," Appl. Opt. 37, 8085-8091 (1998).
16. R. F. Bonner, R. Nossal, S. Havlin, and G. H. Weiss, "Model for photon migration in turbid biological media," J. Opt. Soc. Am. A 4, 423-432 (1987).
17. A. M. Gandjbakhche, X. Chernomordik, J. C. Hebden, and R. Nossal, "Time-dependent contrast functions for quantitative imaging in time-resolved transillumination experiments," Appl. Opt. 37, 1973-1981 (1998).
18. M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, "Application of finite element method for the forward model in infra-red absorption imaging," in Mathematical Methods in Medical Imaging, D. C. Wilson and J. N. Wilson, eds., Proc. SPIE 1768, 97-108 (1992).
19. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, "A finite element approach for modelling photon transport in tissue," Med. Phys. 20, 299-309 (1993).
20. J. Haselgrove, J. Leigh, Y. Conway, N. G. Wang, M. Maris, and B. Chance, "Monte Carlo and diffusion calculations of photon migration in non-infinite highly scattering media," in Time-Resolved Spectroscopy and Imaging of Tissues, B. Chance and A. Katzir, eds., Proc. SPIE 1431, 30-41 (1991).
21. J. C. Schotland, J. C. Haselgrove, and J. S. Leigh, "Photon hitting density," Appl. Opt. 32, 448-453 (1993).
22. S. R. Arridge, "Photon-measurement density functions Part I: analytical forms," Appl. Opt. 34, 7395-7409 (1995).
23. Y. Tsuchiya and T. Urakami, "Photon migration model for turbid biological medium having various shapes," Jpn. J. Appl. Phys. 34, L79-L81 (1995).
24. Y. Tsuchiya and T. Urakami, "Frequency domain analysis of photon migration based on the microscopic Beer-Lambert Law," Jpn. J. Appl. Phys. 35, 4848-4851 (1996).
25. Y. Tsuchiya and T. Urakami, "Quantitation of absorbing substances in turbid media such as human tissues based on the microscopic Beer-Lambert law," Opt. Commun. 144, 269-280 (1997).
26. H. Zhang, M. Miwa, Y. Yamashita, and Y. Tsuchiya, "Quantitation of absorbers in turbid media using time integrated spectroscopy based on microscopic Beer-Lambert law," Jpn. J. Appl. Phys. 37, 2724-2727 (1998).
27. H. Zhang, Y. Tsuchiya, M. Miwa, T. Urakami, and Y. Yamashita, "Time integrated spectroscopy of turbid media based on the microscopic Beer-Lambert law: consideration of the wavelength dependence of scattering properties," Opt. Commun. 153, 314-322 (1998).
28. H. Zhang, T. Urakami, Y. Tsuchiya, Z. Lu, and T. Hiruma, "Time integrated spectroscopy of turbid media based on the microscopic Beer-Lambert law: application to small-sized phantoms having different boundary conditions," J. Biomed. Opt. 4, 183-190 (1999).
29. H. Zhang and Y. Tsuchiya, "Applicability of time integrated spectroscopy based on the microscopic Beer-Lambert law to finite turbid media with curved boundaries," Opt. Rev. 7, 473-478 (2000).
30. Y. Tsuchiya and T. Urakami, "Optical quantitation of absorbers in variously shaped turbid media based on the microscopic Beer-Lambert law: a new approach to optical computerized tomography," in Advances in Optical Biopsy and Optical Mammography, R. R. Alfano, ed., Ann. N.Y. Acad. Sci. 838, 75-94 (1998).
31. Y. Ueda, K. Ohta, M. Oda, M. Miwa, Y. Yamasita, and Y. Tsuchiya, "Average value method: a new approach to practical optical computed tomography for a turbid medium such as human tissue," Jpn. J. Appl. Phys. 37, 2717-2723 (1998).
32. Y. Ueda, K. Ohta, Y. Yamasita, and Y. Tsuchiya, "Calculation of the photon path distribution in the turbid medium," in Second Symposium on Biomedical Optics, Proc. Opt. Soc. Jpn. 2, 6-9 (2001).