Optical Review

, Volume 5, Issue 3, pp 129–137 | Cite as

Longitudinal Correlation Properties of Speckles Produced by Ring-Slit Illumination



Spatial correlation properties are studied for speckle patterns produced in the diffraction region behind a lens which is located at a focal distance from a diffuser with an aperture under illumination of the coherent plane-wave light. It is shown theoretically that, if a ring-slit aperture of a negligible slit width is used, the speckle field produced has a perfect correlation in the longitudinal direction. An experiment was performed using a circular aperture and ring-slit apertures having different ratios of the inner to the outer radius and the speckle pattern produced using the ring-slit aperture with the smallest slit width had the longest longitudinal correlation in all cases examined. The statistical stationarity and symmetry of the speckle field, as well as variation in the speckle size, are also discussed.

Key words

Bessel beam clustered speckles longitudinal correlation intensity correlation ring slit 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J.W. Goodman: Laser Speckle and Related Phenomena, ed. J.C. Dainty (Springer, Berlin, 1984) 2nd ed., Chap. 2, p. 9.Google Scholar
  2. 2.
    K. Uno, J. Uozumi and T. Asakura: Opt. Commun. 114 (1995) 203.CrossRefGoogle Scholar
  3. 3.
    M. Ibrahim, J. Uozumi and T. Asakura: Optik 106 (1997) 33.Google Scholar
  4. 4.
    J. Durnin, J.J. Miceli, Jr. and J.H. Eberly: Phys. Rev. Lett. 58 (1987) 1499.CrossRefPubMedGoogle Scholar

Copyright information

© The Optical Society of Japan 1998

Authors and Affiliations

  • Makram Ibrahim
    • 1
  • Jun Uozumi
    • 1
  • Toshimitsu Asakura
    • 2
  1. 1.Research Institute for Electronic Science, Hokkaido UniversitySapporoHokkaidoJapan
  2. 2.Faculty of Engineering, Hokkai-Gakuen UniversitySapporoHokkaidoJapan

Personalised recommendations