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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1371–1382

Theory of a fixed scatterer embedded in a turbid medium

Koichi Furutsu  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1371-1382 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001371


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Abstract

Diffuse photon density waves are currently used to probe turbid media for optical anomalies such as tumors in tissue. A basic theory is established for detection of a fixed scatterer embedded in a turbid medium, including the effects of the medium’s boundaries. Several diffuse expressions are obtained for a scattered wave both reflected and transmitted through a turbid layer, as well as within the layer, including important cases of vertically incident light and vertical observation by optical fibers. The importance of the scatterer’s effective cross section when it is embedded in a random medium is emphasized. Specific results are obtained with a simple model of a scatterer.

© 1998 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

Citation
Koichi Furutsu, "Theory of a fixed scatterer embedded in a turbid medium," J. Opt. Soc. Am. A 15, 1371-1382 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1371


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References

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  14. Equations (B3)–(B5) of Ref. 11.
  15. K. Furutsu, “Transport theory and boundary-value solutions. II. Addition theorem of scattering matrices and applications,” J. Opt. Soc. Am. A 2, 932–944 (1985), Sec. 3 and App. D; Eqs. (5.7)–(5.9) of Ref. 12.
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  20. Equations (5.3)–(5.11) of Ref. 11.
  21. The detailed theory is given in K. Furutsu, “Transport theory and boundary-value solutions. II. Addition theorem of scattering matrices and applications,” J. Opt. Soc. Am. A 2, 932–944 (1985).
  22. Ref. 11, Sec. 4.

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