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Applied Optics

Applied Optics


  • Vol. 38, Iss. 1 — Jan. 1, 1999
  • pp: 236–245

Sampling of time- and frequency-domain signals in Monte Carlo simulations of photon migration

Markus Testorf, Ulf Österberg, Brian Pogue, and Keith Paulsen  »View Author Affiliations

Applied Optics, Vol. 38, Issue 1, pp. 236-245 (1999)

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We compare two fundamentally different ways to evaluate the time dependence in Monte Carlo simulations of photon migration: estimating the pulse response in time versus evaluating the transfer function at discrete points in the frequency domain. We show that these two methods differ in accuracy owing to quantization and sampling errors, whereas the statistical error is essentially the same for both methods. From our analysis we also derive alternative methods to sample the time-domain pulse response with reduced quantization and sampling error. Simulation results are included to illustrate our theoretical analysis.

© 1999 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.5280) Medical optics and biotechnology : Photon migration
(290.0290) Scattering : Scattering
(290.1990) Scattering : Diffusion

Original Manuscript: February 24, 1998
Revised Manuscript: October 5, 1998
Published: January 1, 1999

Markus Testorf, Ulf Österberg, Brian Pogue, and Keith Paulsen, "Sampling of time- and frequency-domain signals in Monte Carlo simulations of photon migration," Appl. Opt. 38, 236-245 (1999)

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  1. M. H. Kalos, P. A. Whitlock, Monte Carlo Methods: Basics (Wiley, New York, 1986), Vol. 1. [CrossRef]
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1, Chap. 7, pp. 148–167 and Chap. 9, pp. 175–190.
  3. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  4. H. Jiang, K. D. Paulsen, U. L. Österberg, B. W. Pogue, M. S. Patterson, “Optical image reconstruction using frequency-domain data: simulations and experiments,” J. Opt. Soc. Am. A 13, 253–266 (1996). [CrossRef]
  5. H. Jiang, K. D. Paulsen, U. L. Österberg, M. S. Patterson, “Frequency-domain optical image reconstruction for breast imaging: initial evaluation in multi-target tissue-like phantoms,” Med. Phys. 25(2), 183–193 (1998).
  6. Brian W. Pogue, Markus Testorf, Troy McBride, Ulf Osterberg, Keith Paulsen, “Instrumentation and design of a frequency-domain diffuse optical tomography imager for breast cancer detection,” Opt. Express 1, 391–403 (1997). [CrossRef] [PubMed]
  7. L. Wang, S. L. Jacques, Monte Carlo Modeling of Light Transport in Multi-Layered Tissues in Standard C (University of Texas M.D. Anderson Cancer Center, Houston, Tex., 1992–1993) ( http://ece.ogi.edu/omlc/science/software/mc/index.html ).
  8. S. Fantini, M. A. Franceschini, E. Gratton, “Semi-infinite-geometry boundary problem for light migration in highly scattering media: a frequency-domain study in the diffusion approximation,” J. Opt. Soc. Am. B 11, 2128–2138 (1994). [CrossRef]
  9. J. B. Fishkin, E. Gratton, “Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by straight edge,” J. Opt. Soc. Am. A 10, 127–140 (1993). [CrossRef] [PubMed]
  10. V. Yaroslavsky, A. N. Yaroslavsky, H.-J. Schwarzmaier, G. G. Akchurin, V. V. Tuchin, “New approach to Monte Carlo simulation of photon transport in the frequency domain,” in Photon Propagation in Tissue, B. Chance, D. T. Delpy, G. Muller, eds., Proc. SPIE2626, 45–55 (1995). [CrossRef]
  11. I. V. Yaroslavsky, A. N. Yaroslavski, V. V. Tuchin, H.-J. Schwarzmaier, “Effect of the scattering delay on time-dependent photon migration in turbid media,” Appl. Opt. 36, 6529–6538 (1997). [CrossRef]
  12. S. M. Ross, Introduction to Probability Models (Academic, New York, 1997), Chap. 2.2, pp. 25–30 and Chap. 5.3, pp. 249–276.
  13. R. N. Bracewell, The Fourier Transform and its Applications, 2nd ed. (McGraw-Hill, Boston, 1986), Chap. 10, pp. 183–218.
  14. S. R. Arridge, M. Cope, D. T. Delpy, “The theoretical basis for the determination of optical pathlength in tissue: temporal and frequency analysis,” Phys. Med. Biol. 37, 1531–1560 (1992). [CrossRef] [PubMed]

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