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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 4 — Apr. 1, 2000
  • pp: 794–801

Theory of a fixed scatterer embedded in a turbid medium: numerical results

Koichi Furutsu  »View Author Affiliations

JOSA A, Vol. 17, Issue 4, pp. 794-801 (2000)

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Based on a previous theory of diffuse photon density waves by Furutsu [J. Opt. Soc. Am. A 15, 1371 (1998)], several sets of figures are prepared to detect a fixed scatterer (object) embedded in a turbid layer, such as a tumor in tissue, with a source and a detector placed independently along the boundaries on different sides. The relative total intensity of the wave is introduced such that it is reduced to 1 in the case of no scatterer and usually less than that, owing to a shadowing by the scatterer. Sets of curves are presented to demonstrate shadow images of the scatterer observed along the layer boundaries depending on the scatterer’s location.

© 2000 Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.4580) Medical optics and biotechnology : Optical diagnostics for medicine
(170.5270) Medical optics and biotechnology : Photon density waves
(170.6960) Medical optics and biotechnology : Tomography
(170.7050) Medical optics and biotechnology : Turbid media

Original Manuscript: June 7, 1999
Revised Manuscript: October 20, 1999
Manuscript Accepted: November 29, 1999
Published: April 1, 2000

Koichi Furutsu, "Theory of a fixed scatterer embedded in a turbid medium: numerical results," J. Opt. Soc. Am. A 17, 794-801 (2000)

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  1. D. A. Boas, M. A. O’Leary, B. Chance, A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and application,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994). [CrossRef]
  2. D. A. Boas, M. A. O’Leary, B. Chance, A. G. Yodh, “Detection and characterization of optical inhomogeneities with diffuse photon density waves: a signal-to-noise analysis,” Appl. Opt. 36, 75–91 (1997). [CrossRef] [PubMed]
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  4. J. X. Zhu, D. J. Pine, D. A. Weitz, “Internal reflection of diffusive light in random media,” Phys. Rev. A 44, 3948–3959 (1991). [CrossRef] [PubMed]
  5. P. N. den Outer, Th. M. Nieuwenhuizen, Ad Lagendijk, “Location of objects in multiple-scattering media,” J. Opt. Soc. Am. A 10, 1209–1218 (1993). [CrossRef]
  6. C. P. Gonatas, M. Miwa, M. Ishii, J. Schotland, B. Chance, J. S. Leigh, “Effects due to geometry and boundary conditions in multiple light scattering,” Phys. Rev. E 48, 2212–2216 (1993). [CrossRef]
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  8. K. Furutsu, “Transport theory and boundary-value solutions. I. The Bethe–Salpeter equation and scattering matrices,” J. Opt. Soc. Am. A 2, 913–931 (1985); “II. Addition theorem of scattering matrices and applications,” J. Opt. Soc. Am. A 2, 932–944 (1985); see also K. Furutsu, Random Media and Boundaries—Unified Theory, Two-Scale Method, and Applications, Vol. 14 of Springer Series on Wave Phenomena (Springer-Verlag, New York, 1993). [CrossRef]
  9. K. Furutsu, Y. Yamada, “Diffusion approximation for a dissipative random medium and the applications,” Phys. Rev. E 50, 3634–3640 (1994). [CrossRef]

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