Inverse hybrid technique for determining the optical properties of turbid media from integrating-sphere measurements

Applied Optics

Volumn 35, Issue 34, 1996, Pages 6797-6809

  Yaroslavsky, I V ^a   Yaroslavsky, A N ^a   Goldbach, T ^a   Schwarzmaier, H J ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

Integrating sphere technique; Monte Carlo method; Optical properties; Single scattering approximation; Small angle approximation; Tissue optics

Indexed keywords

EID: 0000321195     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.006797     Document Type: Article

References (37)

1. R. Ulbricht, “Die Bestimmung der mittleren raumlichen Lich-tintensitat durch nur eine Messung,” Electrotech. Z. 21, 595-597 (1900).
2. A. H. Taylor, “The measurement of diffuse reflection factors and a new absolute reflectometer,” J. Opt. Soc. Am. 4, 9-23 (1920).
3. J. W. Pickering, C. J. M. Moes, H. J. C. M. Sterenborg, S. A. Prahl, and M. J. C. van Gemert, “Two integrating spheres with an intervening scattering sample,” J. Opt. Soc. Am. A 9, 621-631 (1992).
4. J. W. Pickering, S. A. Prahl, N. van Wieringen, J. F. Beek, H. J. C. M. Sterenborg, and M. J. C. van Gemert, “Double-integrating-sphere system for measuring the optical properties of tissue,” Appl. Opt. 32, 399-410 (1993).
5. W.-F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron. 26, 2166-2185 (1990).
6. R. Splinter, R. H. Svenson, L. Littmann, J. R. Tuntelder, C. H. Huang, G. P. Tatsis, and M. Thompson, “Optical properties of normal, diseased, and laser photocoagulated myocardium at the Nd:YAG wavelength,” Lasers Surg. Med. 11, 117-124 (1991).
7. M. Firbank, M. Hiraoka, M. Essenpreis, andD. T. Delpy, “Measurement of the optical properties of the scull in the wavelength range 650-950 nm,” Phys. Med. Biol. 38, 503-510 (1993).
8. B. C. Wilson, M. S. Patterson, and S. T. Flock, “Indirect versus direct techniques for the measurement of the optical properties of tissues,” Photochem. Photobiol. 46, 601-608 (1987).
9. S. A. Prahl, “Light transport in tissue,” Ph.D. dissertation (The University of Texas at Austin, Austin, Tex., 1988).
10. P. van der Zee, “Methods for measuring the optical properties of tissue samples in the visible and near infrared wavelength range,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. Muller, B. Chance, R. R. Alfano, S. R. Arridge, J. Beuthan, E. Gratton, M. Kraschke, B. R. Masters, S. Svanberg, and P. van der Zee, eds., SPIE Institute Series 11 (SPIE, Bellingham, Wash., 1993), pp. 166-192.
11. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1.
12. S. Wan, R. R. Anderson, and J. A. Parrish, “Analytical modeling for the optical properties of the skin with in vitro and in vivo applications,” Photochem. Photobiol. 43, 493-499 (1981).
13. M. J. C. van Gemert, M. C. Berenbaum, and G. H. M. Gijsbers, “Wavelength and light-dose dependence in tumor phototherapy with hematoporphyrin-derivative,” Br. J. Cancer 52, 43-49 (1985).
14. M. J. C. van Gemert and W. M. Star, “Relations between the Kubelka-Munk and the transport equation models for anisotropic scattering,” Lasers Life Sci. 1, 287-298 (1987).
15. V. V. Tuchin, S. R. Utz, and I. V. Yaroslavsky, “Tissue optics, light distribution, and spectroscopy,” Opt. Eng. 33, 3178-3188 (1994).
16. S. L. Jacques and S. A. Prahl, “Modeling optical and thermal distributions in tissue during laser irradiation,” Lasers Surg. Med. 6, 494-503 (1987).
17. S. A. Prahl, M. J. C. van Gemert, and A. J. Welch, “Determining the optical properties of turbid media by using the addingdoubling method,” Appl. Opt. 32, 559-568 (1993).
18. R. Graaf, M. H. Koelink, F. F. M. de Mul, W. G. Zijlstra, and A. C. M. Dassel, “Condensed Monte Carlo simulations for the description of light transport,” Appl. Opt. 32, 426-434 (1993).
19. A. Roggan, O. Minet, C. Shroder, and G. J. Muller, “Measurements of optical tissue properties using integrating sphere technique,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. Muller, B. Chance, R. R. Alfano, S. R. Arridge, J. Beuthan, E. Gratton, M. Kraschke, B. R. Masters, S. Svanberg, and P. van der Zee, eds., SPIE Institute Series 11 (SPIE, Bellingham, Wash., 1993), pp. 149-165.
20. J. H. Torres, A. J. Welch, I. Cilesiz, and M. Motamedi, “Tissue optical property measurements: overestimation of absorption coefficient with spectrophotometric techniques,” Lasers Surg. Med. 14, 249-257 (1994).
21. N. G. Khlebtsov, “Role of multiple scattering in turbidimetric investigations of dispersed systems,” J. Appl. Spectrosc. 40, 243-247 (1984).
22. L. H. Wang and S. L. Jacques, “Error estimation of measuring total interaction coefficients of turbid media using collimated light transmission,” Phys. Med. Biol. 39, 2349-2354 (1994).
23. J. A. Jacquez and H. F. Kuppenheim, “Theory of the integrating sphere,” J. Opt. Soc. Am. 45, 460-470 (1955).
24. J. E. Dennis, Jr., and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice-Hall, Englewood Cliffs, N.J., 1983).
25. M. Minoux, Mathematical Programming: Theory and Algorithms (J. Wiley, Chichester, 1986).
26. M. J. C. van Gemert, S. L. Jacques, H. J. C. M. Sterenborg, and W. M. Star, “Skin optics,” IEEE Trans. Biomed. Eng. 36,1146-1154 (1989).
27. G. E. Forsythe, M. A. Malkolm, and C. B. Moler, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, N.J., 1977).
28. S. Goudsmit and J. L. Saunderson, “Multiple scattering of electrons,” Phys. Rev. 57, 24-29 (1940).
29. M. C. Wang and E. Guth, “On the theory of multiple scattering, particularly of charged particles,” Phys. Rev. 84, 1092-1111 (1951).
30. A. Zardecki and W. G. Tam, “Multiple scattering corrections to the Beer-Lambert law. 1: Open detector,” Appl. Opt. 21, 2405-2412; “Multiple scattering corrections to the Beer-Lambert law. 2: Detector with a variable field of view,” Appl. Opt. 21, 2413-2420 (1982).
31. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980), Vol. 2.
32. R. J. Zdrojkowski and R. L. Longini, “Optical transmission through whole blood illuminated with highly collimated light,” J. Opt. Soc. Am. 59, 898-903 (1969).
33. J. M. Schmitt, G. X. Zhou, E. C. Walker, and R. T. Wall, “Multilayer model of photon diffusion in skin,” J. Opt. Soc. Am. A 7, 2141-2153 (1990).
34. H.-J. Schwarzmaier, T. Goldbach, I. V. Yaroslavsky, F. Ulrich, M. Bettag, T. Kahn, and R. Kaufmann, “Optical changes of porcine brain tissue after thermal coagulation,” in Laser
35. Tissue Interaction VI, S. L. Jacques and A. Katzir, eds., Proc. SPIE 2391, 451-457 (1995).
36. H. -J. Schwarzmaier, T. Goldbach, F. Ulrich, R. Schober, T. Kahn, R. Kaufmann, and M. L. Wolbarsht, “Improved laser applicators for interstitial thermotherapy of brain structures,” in Clinical Applications of Modern Imaging Technology II, L. J. Cerullo, K. S. Heiferman, H. Liu, H. Podbielska, A. O. Wist, and L. J. Zamorano, eds., Proc. SPIE 2132, 4-12 (1994).
37. I. F. Cilesiz and A. J. Welch, “Optical properties of humanaorta: Are they affected by cryopreservation?” Lasers Surg. Med. 14, 396-402 (1994).