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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 19 — Sep. 22, 2003
  • pp: 2268–2277

Using coherence to measure two-time correlation functions

Mark Sutton, Khalid Laaziri, F. Livet, and F. Bley  »View Author Affiliations


Optics Express, Vol. 11, Issue 19, pp. 2268-2277 (2003)
http://dx.doi.org/10.1364/OE.11.002268


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Abstract

An introduction to x-ray intensity fluctuation spectroscopy is given by describing its relationship to speckle from coherent sources. Its use to measure two-time correlation functions is demonstrated using the equilibrium fluctuations of gold colloids in polystyrene and for non-equilibrium fluctuations in the unmixing below the miscibility gap in AlLi.

© 2003 Optical Society of America

OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(030.6140) Coherence and statistical optics : Speckle
(140.3320) Lasers and laser optics : Laser cooling
(290.5820) Scattering : Scattering measurements
(340.7480) X-ray optics : X-rays, soft x-rays, extreme ultraviolet (EUV)

ToC Category:
Focus Issue: Coherent x-ray optics

History
Original Manuscript: August 4, 2003
Revised Manuscript: September 15, 2003
Published: September 22, 2003

Citation
Mark Sutton, Khalid Laaziri, F. Livet, and F. Bley, "Using coherence to measure two-time correlation functions," Opt. Express 11, 2268-2277 (2003)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-11-19-2268


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References

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  2. B. J. Berne and R. Pecora, Dynamic Light Scattering (Academic Press, Orlando, FL, 1976).
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  7. M. Sutton, �??Coherent X-ray Diffraction,�?? in Third-Generation Hard X-ray Synchrotron Radiation Sources: Source Properties, Optics, and Experimental Techniques, Dennis M. Mills ed. (John Wiley and Sons, Inc, New York, 2002), Chap. 3.
  8. D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, �??Diffusing Wave Spectroscopy,�?? Phys. Rev. Lett. 60, 1134-1137 (1988). [CrossRef] [PubMed]
  9. A. R. Sandy, L. B. Lurio, S. G. J. Mochrie, A. Malik, G. B. Stephenson, J. F. Pelletier and M. Sutton, �??Design and Characterization of an Undulator Beamline Optimized for Small-Angle Coherent X-ray Scattering at the Advanced Photon Source,�?? J. Synch. Rad. 6, 1174-1184 (1999). [CrossRef]
  10. D. Lumma, L. B. Lurio, S. G. J. Mochrie and M. Sutton, �??Area detector based photon correlation in the regime of short data batches: data reduction for dynamic x-ray scattering,�?? Rev. Sci. Inst. 71, 3274-3289 (2000). [CrossRef]
  11. M. K. Corbierre, N. S. Cameron, M. Sutton, S. G. J. Mochrie, L. B. Lurio, A. Rh¨um and R. B. Lennox, �??Polymer-Stablized Gold Nanoparticles and Their Incorporation into Polymer Matrices,�?? J. Am. Chem. Soc. 123, 10411-10412 (2001). [CrossRef] [PubMed]
  12. M. K. Corbierre, N. S. Cameron, M. Sutton, K. Laaziri, �??Polymer-Stablized Gold Nanoparticles and Their Incorporation into Polymer Matrices,�?? in preparation.
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  14. E. Geissler, �??Dynamic light scattering from polymer gels,�?? in Dynamic Light Scattering: The method and some applications, Wyn Brown, ed. (Clarendon Press, Oxford 1993), Chap. 11.
  15. B. Crosignani, P. Di Porto and M. Bertolotti, Statistical Properties of Scattered Light (Academic Press, New York 1975), Sect. V.5.
  16. A. Malik, A. R. Sandy, L. B. Lurio, G. B. Stephenson, S. G. J. Mochrie, I. McNulty and M. Sutton, �??Coherent X-ray Study of Fluctuations During Domain Coarsening,�?? Phys. Rev. Lett. 81, 5832-5835 (1998). [CrossRef]
  17. F. Livet, F. Bley, R. Caudron, D. Abernathy, C. Detlefs, G. Gr¨ubel and M. Sutton, �??Kinetic evolution of unmixing in an AlLi alloy using x-ray intensity fluctuations spectroscopy,�?? Phys. Rev. E 63, Article 036108 (2000).
  18. G. Brown, P. A. Rikvold, M. Sutton and M. Grant, �??Speckle from phase-ordering systems,�?? Phys. Rev. E 56, 6601-6612 (1997). [CrossRef]
  19. G. Brown, P. A. Rikvold, M. Sutton and M. Grant, �??Evolution of speckle during spinodal decomposition,�?? Phys. Rev. E 60, 5151-5162 (1999). [CrossRef]
  20. L. Cipelletti and D. A. Weitz, �??Ultralow-angle dynamic light scattering with a charge coupled device camera based multispeckle, multitau correlator,�?? Rev. Sci Inst. 70, 3214-3221 (1999). [CrossRef]
  21. E. Geissler, A-M. Hecht, C. Rochas, F. Bley, F. Livet and M. Sutton, �??Aging in a filled polymer: Coherent small angle x-ray and light scattering,�?? Phys. Rev. E 62, 8308-8313 (2000). [CrossRef]

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