Diffuse Photon Density Wave Fields in Turbid Media and Tissue

  • Andreas Mandelis


If an isotropic source of radiation is immeresed in a homogeneous, optically strongly scattering medium, the linear transport equation which describes the conservation of scattered photons in a volume element, is given by the Boltzmann transport equation [Case and Zweifel, 1967]


Green Function Diffusion Approximation Scattered Field Incident Field Photon Density 
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  1. E. Amic, J. M. Luck, and Th. M. Nieuwenhuizen, J. Phys. I France 7, 445 (1997).CrossRefGoogle Scholar
  2. A. J. Baños, in Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, New York, 1966).Google Scholar
  3. D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Proc. Natl. Acad. Sci. USA 91, 4887 (1994).ADSCrossRefGoogle Scholar
  4. D. A. Boas, L. E. Campbell, and A. G. Yodh, Phys. Rev. Lett. 75, 1855 (1995).ADSCrossRefGoogle Scholar
  5. D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh, Appl. Opt. 36, 75 (1997).ADSCrossRefGoogle Scholar
  6. R. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, New York, 1965).MATHGoogle Scholar
  7. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, MA, 1967).MATHGoogle Scholar
  8. P. N. den Outer, Th. M. Nieuwenhuizen, and A. Lagendijk, J. Opt. Soc. Am. A 10, 1209 (1993).ADSCrossRefGoogle Scholar
  9. G. Eason, R. Veitch, R. Nisbet, and F. Turnbull, J. Phys, D 11, 1463 (1978).ADSCrossRefGoogle Scholar
  10. T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).CrossRefGoogle Scholar
  11. J. B. Fishkin and E. Gratton, J. Opt. Soc. Am. A 10, 127 (1993).ADSCrossRefGoogle Scholar
  12. J. Fishkin, E. Gratton, M. J. Ven, and W. Mantulin, in Time-Resolved Spectroscopy and Imaging of Tissues (SPIE Press, Bellingham, WA, Vol. 1431, p. 122., 1991).CrossRefGoogle Scholar
  13. E. Gratton and M. Linkeman, Biophys. J. 44, 315 (1983).CrossRefGoogle Scholar
  14. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).Google Scholar
  15. A. Ishimaru, Appl. Opt. 28, 2210 (1989).ADSCrossRefGoogle Scholar
  16. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).MATHGoogle Scholar
  17. J. R. Lakowicz and B. P. Maliwal, Biophys. Chem. 21, 61 (1985).CrossRefGoogle Scholar
  18. X. D. Li, T. Durduran, A. G. Yodh, B. Chance, and D. N. Pattanayak, Opt. Lett. 22, 573 (1997).ADSCrossRefGoogle Scholar
  19. A. Mandelis, J. Opt. Soc. Am. A 6, 298 (1989).ADSCrossRefGoogle Scholar
  20. A. Mandelis, Physics Today 53 (August 2000), p. 29.CrossRefGoogle Scholar
  21. I. D. Moulton, MSc. thesis, McMaster University (1990).Google Scholar
  22. L. Nicolaides and A. Mandelis, Inverse Problems 13, 1393 (1997).ADSMATHCrossRefGoogle Scholar
  23. L. Nicolaides, M. Munidasa, and A. Mandelis, Inverse Problems 13, 1413 (1997).ADSMATHCrossRefGoogle Scholar
  24. Th. M. Nieuwenhuizen and J. M. Luck, Phys. Rev. E 48, 569 (1993).ADSCrossRefGoogle Scholar
  25. M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).ADSCrossRefGoogle Scholar
  26. O. Padé and A. Mandelis, Rev. Sci. Instrum. 64, 3548 (1993).ADSCrossRefGoogle Scholar
  27. M. S. Patterson, B. Chance, and B. C. Wilson, Appl. Opt. 28, 2331 (1989).ADSCrossRefGoogle Scholar
  28. M. S. Patterson, J. D. Moulton, B. C. Wilson, K. W. Berndt, and J. R. Lakowicz, Appl. Opt. 30, 4474 (1991).ADSCrossRefGoogle Scholar
  29. J. M. Schmitt, A. Knüttel, and J. R. Knutson, J. Opt. Soc. Am. A 9, 1832 (1992).ADSCrossRefGoogle Scholar
  30. J. Shen and A. Mandelis, Rev. Sci. Instrum. 66, 4999 (1995).ADSCrossRefGoogle Scholar
  31. B. J. Tromberg, L. O. Svaasand, T.-T. Tsay, and R. C. Haskell, Appl. Opt. 32, 607 (1993).ADSCrossRefGoogle Scholar
  32. M. C. W. van Rossum and Th. M. Nieuwenhuizen, Rev. Progr. Phys. 71, 313 (1999).ADSGoogle Scholar
  33. C.-H. Wang and A. Mandelis, J. Appl. Phys. 85, 8366 (1999).ADSCrossRefGoogle Scholar
  34. A. Yodh and B. Chance, Physics Today 48 (March 1995), p. 34.CrossRefGoogle Scholar

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© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Andreas Mandelis
    • 1
  1. 1.Department of Mechanical and Industrial Engineering, Photothermal and Optoelectronic Diagnostics LaboratoryUniversity of TorontoTorontoCanada

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