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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 5 — May. 1, 1999
  • pp: 1040–1048

Optical determination of field angular correlation for transmission through three-dimensional turbid media

Brian G. Hoover  »View Author Affiliations

JOSA A, Vol. 16, Issue 5, pp. 1040-1048 (1999)

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A method is presented for measuring the correlation between the optical fields scattered in different directions by an arbitrary three-dimensional turbid medium. The field angular correlation function is obtained by processing ensemble average intensity data, which are recorded experimentally by a single-channel Shack–Hartmann wave-front sensor. Some general properties of scattered light are expressed in terms of the field angular correlation function, and the correlation function is measured for transmission through a suspension of microspheres under nonballistic transport conditions.

© 1999 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(170.5280) Medical optics and biotechnology : Photon migration
(290.5820) Scattering : Scattering measurements
(290.7050) Scattering : Turbid media

Original Manuscript: April 9, 1998
Revised Manuscript: October 28, 1998
Manuscript Accepted: December 7, 1998
Published: May 1, 1999

Brian G. Hoover, "Optical determination of field angular correlation for transmission through three-dimensional turbid media," J. Opt. Soc. Am. A 16, 1040-1048 (1999)

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  1. J. A. Moon, P. R. Battle, M. Bashkansky, R. Mahon, M. D. Duncan, J. Reintjes, “Achievable spatial resolution of time-resolved transillumination imaging systems which utilize multiply scattered light,” Phys. Rev. E 53, 1142–1155 (1996). [CrossRef]
  2. See J. S. Preston, “Retro-reflexion by diffusing surfaces,” Nature (London) 213, 1007–1008 (1967) and references therein. [CrossRef]
  3. K. M. Watson, “Multiple scattering of electromagnetic waves in an underdense plasma,” J. Math. Phys. 10, 688–702 (1969). [CrossRef]
  4. D. Léger, J. C. Perrin, “Real-time measurement of surface roughness by correlation of speckle patterns,” J. Opt. Soc. Am. 66, 1210–1217 (1976). [CrossRef]
  5. T. R. Michel, K. A. O’Donnell, “Angular correlation functions of amplitudes scattered from a one-dimensional, perfectly conducting rough surface,” J. Opt. Soc. Am. A 9, 1374–1384 (1992). [CrossRef]
  6. Shechao Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988);Shechao Feng, “Novel correlations and fluctuations in speckle patterns,” in Scattering and Localization of Classical Waves in Random Media, Ping Sheng, ed., Vol. 8 of World Scientific Series on Directions in Condensed Matter Physics (World Scientific, Singapore, 1990). [CrossRef] [PubMed]
  7. E. N. Leith, B. G. Hoover, D. S. Dilworth, P. P. Naulleau, “Ensemble-averaged Shack–Hartmann wavefront sensing for imaging through turbid media,” Appl. Opt. 37, 3643–3650 (1998). [CrossRef]
  8. D. S. Wiersma, P. Bartolini, A. Lagendijk, R. Righini, “Localization of light in a disordered medium,” Nature (London) 390, 671–673 (1997). [CrossRef]
  9. J. W. Goodman, Statistical Optics (Wiley, New York, 1985), Chap. 5.
  10. E. W. Marchand, E. Wolf, “Angular correlation and the far-zone behavior of partially coherent fields,” J. Opt. Soc. Am. 62, 379–385 (1972). [CrossRef]
  11. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Chap. 10.

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