Fluctuations of scattered waves: going beyond the ensemble average

doi:10.1364/OE.17.010466

Fluctuations of scattered waves: going beyond the ensemble average

J. Broky, K. M. Douglass, J. Ellis, and A. Dogariu »View Author Affiliations

Optics Express, Vol. 17, Issue 13, pp. 10466-10471 (2009)
http://dx.doi.org/10.1364/OE.17.010466

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Abstract
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References (14)
Cited By
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Abstract

The interaction between coherent waves and random media is a complicated, deterministic process that is usually examined upon ensemble averaging. The result of one realization of the interaction process depends on the specific disorder present in an experimentally controllable interaction volume. We show that this randomness can be quantified and structural information not apparent in the ensemble average can be obtained. We use the information entropy as a viable measure of randomness and we demonstrate that its rate of change provides means for discriminating between media with identical mean characteristics.

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(290.1990) Scattering : Diffusion

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 26, 2009
Revised Manuscript: May 12, 2009
Manuscript Accepted: June 3, 2009
Published: June 8, 2009

Citation
J. Broky, K. M. Douglass, J. Ellis, and A. Dogariu, "Fluctuations of scattered waves: going beyond the ensemble average," Opt. Express 17, 10466-10471 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-13-10466

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References

P. A. Lee and A. D. Stone, "Universal Conductance Fluctuations in Metals," Phys. Rev. Lett. 55(15), 1622-1625 (1985). [CrossRef]
S. Feng, C. Kane, P. A. Lee, and A. D. Stone, "Correlations and Fluctuations of Coherent Wave Transmission through Disordered Media," Phys. Rev. Lett. 61(7), 834-837 (1988). [CrossRef]
S. Etemad, R. Thompson, and M. J. Andrejco, "Weak localization of photons: universal fluctuations and ensemble averagign," Phys. Rev. Lett. 57(5), 575-578 (1986). [CrossRef]
M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, "Weak Localization and Light Scattering from Disordered Solids," Phys. Rev. Lett. 57(16), 2049-2052 (1986). [CrossRef]
B. Shapiro, "Large Intensity Fluctuations for Wave Propagation in Random Media," Phys. Rev. Lett. 57(17), 2168-2171 (1986). [CrossRef]
M. J. Stephen and G. Cwilich, "Intensity correlation functions and fluctuations in light scattered from a random medium," Phys. Rev. Lett. 59(3), 285-287 (1987). [CrossRef]
J. W. Goodman, Speckle Phenomena in Optics, 1st ed. (Roberts & Co., Englewood, 2007).
A. Ishimaru, Wave Propagation and Scattering in Random Media, vol. 1 (Academic, New York, 1971).
C. E. Shannon, "A Mathematical Theory of Communication," Bell Syst. Tech. J. 27, 379-423, 623-656 (1948).
G. Popescu and A. Dogariu, "Scattering of low coherence radiation and applications," Eur. Phys. J. Appl. Phys. 32(2), 73-93 (2005). [CrossRef]
G. Popescu and A. Dogariu, "Optical path-length spectroscopy of wave propagation in random media," Opt. Lett. 24(7), 442-444 (1999). [CrossRef]
A. H. Gandjbakhche and G. H. Weiss, "Random walk and diffusion-like model of photon migration in turbid media," Prog. in Opt. 34, 333-402 (1995). [CrossRef]
A. Apostol, D. Haefner, and A. Dogariu, "Near-field characterization of effective optical interfaces," Phys. Rev. E 74(6), 066603-6 (2006). [CrossRef]
E. Hartveit and M. L. Veruki, "Studying properties of neurotransmitter receptors by non-stationary noise analysis of spontaneous postsynaptic currents and agonist-evoked responses in outside-out patches," Nature Protocols 2(2), 434-448 (2007). [CrossRef]

Andrejco, M. J.
Apostol, A.
Cwilich, G.
Dogariu, A.
Edrei, I.
Etemad, S.
Feng, S.
Freund, I.
Gandjbakhche, A. H.
Haefner, D.
Hartveit, E.
Kane, C.
Kaveh, M.
Lee, P. A.
Popescu, G.
Rosenbluh, M.
Shannon, C. E.
Shapiro, B.
Stephen, M. J.
Stone, A. D.
Thompson, R.
Veruki, M. L.
Weiss, G. H.

Bell Syst. Tech. J.

C. E. Shannon, "A Mathematical Theory of Communication," Bell Syst. Tech. J. 27, 379-423, 623-656 (1948).

Eur. Phys. J. Appl. Phys.

G. Popescu and A. Dogariu, "Scattering of low coherence radiation and applications," Eur. Phys. J. Appl. Phys. 32(2), 73-93 (2005). [CrossRef]

Nature Protocols

E. Hartveit and M. L. Veruki, "Studying properties of neurotransmitter receptors by non-stationary noise analysis of spontaneous postsynaptic currents and agonist-evoked responses in outside-out patches," Nature Protocols 2(2), 434-448 (2007). [CrossRef]

Opt. Lett.

G. Popescu and A. Dogariu, "Optical path-length spectroscopy of wave propagation in random media," Opt. Lett. 24(7), 442-444 (1999). [CrossRef]

Phys. Rev. E

A. Apostol, D. Haefner, and A. Dogariu, "Near-field characterization of effective optical interfaces," Phys. Rev. E 74(6), 066603-6 (2006). [CrossRef]

Phys. Rev. Lett.

P. A. Lee and A. D. Stone, "Universal Conductance Fluctuations in Metals," Phys. Rev. Lett. 55(15), 1622-1625 (1985). [CrossRef]
S. Feng, C. Kane, P. A. Lee, and A. D. Stone, "Correlations and Fluctuations of Coherent Wave Transmission through Disordered Media," Phys. Rev. Lett. 61(7), 834-837 (1988). [CrossRef]
S. Etemad, R. Thompson, and M. J. Andrejco, "Weak localization of photons: universal fluctuations and ensemble averagign," Phys. Rev. Lett. 57(5), 575-578 (1986). [CrossRef]
M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, "Weak Localization and Light Scattering from Disordered Solids," Phys. Rev. Lett. 57(16), 2049-2052 (1986). [CrossRef]
B. Shapiro, "Large Intensity Fluctuations for Wave Propagation in Random Media," Phys. Rev. Lett. 57(17), 2168-2171 (1986). [CrossRef]
M. J. Stephen and G. Cwilich, "Intensity correlation functions and fluctuations in light scattered from a random medium," Phys. Rev. Lett. 59(3), 285-287 (1987). [CrossRef]

Prog. in Opt.

A. H. Gandjbakhche and G. H. Weiss, "Random walk and diffusion-like model of photon migration in turbid media," Prog. in Opt. 34, 333-402 (1995). [CrossRef]

Other

J. W. Goodman, Speckle Phenomena in Optics, 1st ed. (Roberts & Co., Englewood, 2007).
A. Ishimaru, Wave Propagation and Scattering in Random Media, vol. 1 (Academic, New York, 1971).

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