Time-Resolved Photon Propagation in Tissues

  • Steven L. Jacques
  • Lihong Wang
  • Andreas H. Hielscher
Part of the Lasers, Photonics, and Electro-Optics book series (LPEO)


Photon movement in a turbid medium such as biological tissue has posed challenging problems due to the strong influence of light scattering at ultraviolet, visible, and near-infrared wavelengths. Photons which escape from a tissue as either reflectance or transmittance may have propagated along many different paths within the tissue. Therefore, it is difficult to interpret the magnitude of photon escape in terms of either tissue absorption or the presence of an internal heterogeneity. The use of measurement techniques which allow time-resolved measurements of photons has offered a new approach toward understanding photon propagation.


Monte Carlo Simulation Discrete Fourier Transform Diffusion Theory Streak Camera Turbid Medium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Jacques SL. “Time resolved propagation of ultrashort laser pulses in turbid tissues,” Appl. Opt. 28: 2223–2229 (1989).ADSCrossRefGoogle Scholar
  2. 2.
    Cashwell ED, Everett CJ. A Practical Manual on the Monte Carlo Method for Random Walk Problems, Pergamon Press, New York (1959).Google Scholar
  3. 3.
    Wang L-H, Jacques SL. Monte Carlo Modeling of Light Transport in Multi-layered Tissues in Standard C, University of Texas / M. D. Anderson Cancer Center (1992). The software is available on our anonymous ftp site at (, or through e-mail to, or by writing to us at Laser Lab-17, UTMD Anderson Cancer Center, 1515 Holcombe Blvd., Houston, TX 77030.Google Scholar
  4. 4.
    Weinmann JA, Shipley ST. “Effects of multiple scattering on laser pulses transmitted through cloud,” J. Geophys. Res., 77: 7123–7128 (1972).ADSCrossRefGoogle Scholar
  5. 5.
    Bucher EA, Lerner RM. “Experiments on light pulse communication and propagation through atmospheric clouds,” Appl. Opt. 12: 2401–2414 (1973).ADSCrossRefGoogle Scholar
  6. 6.
    Ishimaru A. “Diffusion of a pulse in densely distributed scatterers,” J. Opt. Soc. Am. 68: 1045–1050 (1978).ADSCrossRefGoogle Scholar
  7. 7.
    Shimizu K, Ishimaru A, Reynolds L, Breuckner AP. “Backscattering of a picosecond pulse from densely distributed scatterers,” Appl. Opt. 18: 3484–3488 (1979).ADSCrossRefGoogle Scholar
  8. 8.
    Kuga Y, Ishimaru A, Bruchner AP. “Experiments on picosecond pulse propagation in a diffuse medium,” J. Opt. Soc. Am. 73: 1812–1815 (1983).ADSCrossRefGoogle Scholar
  9. 9.
    Ito S, Furutsu K. “Theory of light pulse propagation through thick clouds,” J. Opt. Soc. Am. 70: 366–374 (1980).MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    Patterson MS, Chance B, Wilson BC. “Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties,” Appl. Opt. 28: 2331–2336 (1989).ADSCrossRefGoogle Scholar
  11. 11.
    Madsen SJ, Wilson BC, Patterson MS, Park YD, Jacques SL, Hefetz Y. “Experimental tests of a simple diffusion model for the estimation of scattering and absorption coeffiicients of turbid media from time-resolved diffuse reflectance measurements,” Appl. Opt. 31: 3509–3517 (1992).ADSCrossRefGoogle Scholar
  12. 12.
    Bonner RF, Nossal R, Weiss GH. “A random walk theory of time-resolved optical absorption spectroscopy in tissue,” in Chance B (ed.), Proc. Workshop Photon Migration in Tissues, Plenum Press, New York (1989).Google Scholar
  13. 13.
    Nossal R, Bonner RF, Weiss GH. “The influence of pathlength on remote optical sensing of properties of biological tissues,” Appt. Opt. 28: 2238–2244 (1989).ADSCrossRefGoogle Scholar
  14. 14.
    Duderstadt JJ, Hamilton LJ. Nuclear Reactor Analysis, Wiley, New York (1976).Google Scholar
  15. 15.
    Jacques SL, Hielscher AH, Wang LH. “Effects of sources, boundaries, and heterogeneities on photon migration,” in Alfano RR (ed.), Proceedings on Advances in Optical Imaging and Photon Migration, Optical Society of America Vol. 21, pp. 83–87 (1994).Google Scholar
  16. 16.
    Tromberg BJ, Svaasand LO, Tsay TT, Haskell RC. “Properties of photon density waves in multiple-scattering media,” Appl. Opt. 32: 607–616 (1993).ADSCrossRefGoogle Scholar
  17. 18.
    Piston DW, Marriott G, Radivoyevich T, Clegg RM, Jovin TM, Gratton E. “Wide-band acousto-optic light modulator for frequency domain fluorometry and phosphorimetry,” Rev. Sci. Instrum. 60: 2596–2600 (1989).ADSCrossRefGoogle Scholar
  18. 19.
    Peterman K. Laser Diode Modulation and Noise, KTK Scientifiic Publishers, Dodrecht (1988).CrossRefGoogle Scholar
  19. 20.
    Lakowicz JR, Laczko G, Gryczynski I. “2-GHz frequency-domain fluorometer,” Rev. Sci. In-strum. 57: 2499–2506 (1986).ADSCrossRefGoogle Scholar
  20. 21.
    Press WH, Flannery BP, Teukolsky SA, Vetterling WT. Numerical Recipes in C, 2nd ed., New York, Cambridge University Press (1992).zbMATHGoogle Scholar
  21. 22.
    Jacques SL. “Time-resolved reflectance spectroscopy in turbid tissues,” IEEE Trans. Biomed. Eng. 36: 1155–1161 (1989).CrossRefGoogle Scholar
  22. 23.
    Jacques SL, Flock ST. “Effect of surface boundary on time-resolved reflectance: measurements with a prototype endoscopic catheter,” in Chance B(ed.), Proceedings of Time-Resolved Spec-troscopy and Imaging of Tissues, SPIE Vol. 1431, pp. 12–20 (1991).Google Scholar
  23. 24.
    Wray S, Cope M, Delpy DT, Wyatt JS, Reynolds EOR. “Characterization of the near infrared absorption spectra of cytochrome aa3 and haemoglobin for the non-invasive monitoring of cerebral oxygenation,” Biochim. Biophys. Acta 933: 184–192 (1988).CrossRefGoogle Scholar
  24. 25.
    Sevick EM, Chance B, Leigh J, Nioka S, Maris M. “Quantitation of time- and frequency-resolved optical spectra for the determination of tissue oxygenation,” Anal. Biochem. 195: 330— 351 (1991).Google Scholar
  25. 26.
    Hielscher AH, Liu H, Wang LH, Tittel FK, Chance B, Jacques SL. “Determination of blood oxygenation in the brain by time-resolved reflectance spectroscopy (I): Influence of the skin, skull and meniges,” in Chance B, Alfano RR (eds.), Biochemical Diagnostic Instrumentation A: Optical Diagnosis of Blood and Blood Components, Proc. SPIE Vol. 2136, pp. 4–15 (1994).Google Scholar
  26. 27.
    Liu H, Hielscher AH, Beauvoit B, Wang LH, Jacques SL, Tittel FK, Chance B. “Determination of blood oxygenation in the brain by time-resolved reflectance spectroscopy (II): Contribution of vascular absorption and tissue background absorption,” in Chance B, Alfano RR (eds.), Biochemical Diagnostic Instrumentation A: Optical Diagnosis of Blood and Blood Compo-nents, Proc. SPIE Vol. 2136, pp. 16–25 (1994).Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Steven L. Jacques
    • 1
  • Lihong Wang
    • 1
  • Andreas H. Hielscher
    • 1
  1. 1.Laser Biology Research LaboratoryThe University of Texas M.D. Anderson Cancer CenterHoustonUSA

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