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Applied Optics

Applied Optics


  • Vol. 40, Iss. 24 — Aug. 20, 2001
  • pp: 4036–4040

Near-field intensity correlations of scattered light

Marzio Giglio, Marina Carpineti, Alberto Vailati, and Doriano Brogioli  »View Author Affiliations

Applied Optics, Vol. 40, Issue 24, pp. 4036-4040 (2001)

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We show that the two-point correlation function in the near field of scattered light is simply related to the scattered intensity distribution. We present a new, to our knowledge, optical scheme to measure the correlation function in the near field, and we describe a processing technique that permits the subtraction of stray light on a statistical basis. We present experimental data for solutions of latex spheres, and we show that this novel technique is a powerful alternative to static light scattering.

© 2001 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(300.6480) Spectroscopy : Spectroscopy, speckle

Original Manuscript: November 21, 2000
Revised Manuscript: April 13, 2001
Published: August 20, 2001

Marzio Giglio, Marina Carpineti, Alberto Vailati, and Doriano Brogioli, "Near-field intensity correlations of scattered light," Appl. Opt. 40, 4036-4040 (2001)

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  1. See, for example, J. C. Dainty, ed., Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975).
  2. For an early account of intensity-fluctuation spectroscopy, see G. B. Benedek, “Optical mixing spectroscopy, with applications to problems in physics, chemistry, biology, and engineering,” in Polarization, Matter and Radiation, G. B. Benedek, ed. (Jubilee Volume in honor of Alfred Kastler) (Presses Universitaire de France, Paris, 1969).
  3. B. Berne, R. Pecora, Dynamic Light Scattering (Wiley, New York, 1974).
  4. M. Giglio, M. Carpineti, A. Vailati, “Space intensity correlations in the near field of the scattered light: a direct measurement of the density correlation function g(r),” Phys. Rev. Lett. 85, 1416–1419 (2000). [CrossRef] [PubMed]
  5. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  6. A discussion of the effects on JA(r) of finite correlation at the source can be found in J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), Part 2, pp. 9–75.
  7. By this we mean that the intensity correlation obtained with a δ-correlated sample is quite narrow.
  8. The back focal plane of the entrance block of lenses of the microscope objective lens is inside it; therefore the beam stop was inserted into the objective itself. As a beam stop, we used a piece of a razor blade cut at 45° and lapped accurately. The transmitted beam is reflected and passes through a hole made in the microscope objective.
  9. L. Cipelletti, D. A. Weitz, “Ultralow-angle dynamic light scattering with a charge coupled device camera based multispeckle, multitau correlator,” Rev. Sci. Instrum. 70, 3214–3221 (1999). [CrossRef]
  10. M. Carpineti, F. Ferri, M. Giglio, E. Paganini, U. Perini, “Salt-induced fast aggregation of polystyrene latex,” Phys. Rev. A 42, 7347–7354 (1990). [CrossRef] [PubMed]
  11. F. Ferri, “Use of a charge coupled device camera for low-angle elastic light scattering,” Rev. Sci. Instrum. 68, 2265–2274 (1997). [CrossRef]

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