Light diffusion in a turbid cylinder. I. Homogeneous case
Optics Express, Vol. 18, Issue 9, pp. 9456-9473 (2010)
http://dx.doi.org/10.1364/OE.18.009456
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Abstract
This paper is the first of two dealing with light diffusion in a turbid cylinder. The diffusion equation was solved for a homogeneous finite cylinder that is illuminated at an arbitrary location. Three solutions were derived for an incident δ-light source in the steady-state, frequency, and time domains, respectively, applying different integral transformations. The performance of these solutions was compared with respect to accuracy and speed. Excellent agreement between the solutions, of which some are very fast (< 10ms), was found. Six of the nine solutions were extended to a circular flat beam which is incident onto the top side. Furthermore, the validity of the solutions was tested against Monte Carlo simulations.
© 2010 Optical Society of America
OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.5280) Medical optics and biotechnology : Photon migration
ToC Category:
Medical Optics and Biotechnology
History
Original Manuscript: February 12, 2010
Revised Manuscript: April 7, 2010
Manuscript Accepted: April 14, 2010
Published: April 21, 2010
Virtual Issues
Vol. 5, Iss. 9 Virtual Journal for Biomedical Optics
Citation
André Liemert and Alwin Kienle, "Light diffusion in a turbid cylinder. I. Homogeneous case," Opt. Express 18, 9456-9473 (2010)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-18-9-9456
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References
- F. Voit, J. Schäfer, and A. Kienle, “Light Scattering by Multiple Spheres: Comparison between Maxwell Theory and Radiative-Transfer-Theory Calculations,” Opt. Lett. 34, 2593–2595 (2009). [CrossRef] [PubMed]
- A. Ishimaru, Wave Propagation and Scattering in Random Media, (Academic Press, New York, 1978).
- M. S. Patterson, B. Chance, and B. C. Wilson, “Time Resolved Reflectance and Transmittance for the Noninvasive Measurement of Tissue Optical Properties,” Appl. Opt. 28, 2331–2336 (1989). [CrossRef] [PubMed]
- T. J. Farrell, M. S. Patterson, and B. C. Wilson, “A Diffusion Theory Model of Spatially Resolved, Steady-State Diffuse Reflectance for the Noninvasive Determination of Tissue Optical Properties in Vivo,” Med. Phys. 19, 879–888 (1992). [CrossRef] [PubMed]
- D. Contini, F. Martelli, and G. Zaccanti, “Photon Migration through a Turbid Slab Described by a Model Based on Diffusion Approximation. I. Theory,” Appl. Opt. 36, 4587–4599 (1997). [CrossRef] [PubMed]
- S. R. Arridge, M. Cope, and D. T. Delpy, “The Theoretical Basis for the Determination of Optical Path length in Tissue: Temporal and Frequency Analysis,” Phys. Med. Biol. 37, 1531–1560 (1992). [CrossRef] [PubMed]
- B. W. Pogue, and M. S. Patterson, “Frequency Domain Optical Absorption Spectroscopy of Finite Tissue Volumes Using Diffusion Theory,” Phys. Med. Biol. 39, 1157–1180 (1994). [CrossRef] [PubMed]
- A. Kienle, “Light Diffusion through a Turbid Parallelepiped,” J. Opt. Soc. Am. A 22, 1883–1888 (2005). [CrossRef]
- A. Sassaroli, F. Martelli, D. Imai, and Y. Yamada, “Study on the Propagation of Ultra-Short Pulse Light in Cylindrical Optical Phantoms,” Phys. Med. Biol. 44, 2747–2763 (1999). [CrossRef] [PubMed]
- A. Liemert, and A. Kienle, “Light diffusion in a turbid cylinder. II. Layered case,” accepted (2010).
- http://www.uni-ulm.de/ilm/index.php?id=10020200.
- A. Kienle, and M. S. Patterson, “Improved Solutions of the Steady-State and the Time-Resolved Diffusion Equations for Reflectance from a Semi-Infinite Turbid Medium,” J. Opt. Soc. Am. A 14, 246–254 (1997). [CrossRef]
- R. C. Haskell, L. O. Svaasand, T. T. Tsay, T. C. Feng, M. McAdams, and B. J. Tromberg, “Boundary Conditions for the Diffusion Equation in Radiative Transfer,” J. Opt. Soc. Am. A 11, 2727–2741 (1994). [CrossRef]
- E. Meissel, and G. B. Mathews, A Treatise on Bessel Functions and Their Applications to Physics, (Bibliobazaar, 2008).
- A. Kienle, M. S. Patterson, N. Dögnitz, R. Bays, G. Wagnières, and H. van den Bergh, “Noninvasive Determination of the Optical Properties of Two-Layered Turbid Media,” Appl. Opt. 37, 779–791 (1998). [CrossRef]
- H. S. Carslaw, and J. C. Jaeger, Conduction of Heat in Solids, (Clarendon, Oxford, 1959).
- M. Abramowitz, and I. A. Stegun, Handbook of Mathematical Functions, (Dover Publications, New York, 1971).
- A. Liemert, and A. Kienle, “Light Diffusion in N-layered Turbid Media: Frequency and Time Domains,” J. Biomed. Opt. 15, 025002 (2010). [CrossRef] [PubMed]
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