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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 31 — Nov. 1, 2000
  • pp: 5811–5819

Study of speckle size of light scattered from cylindrical rough surfaces

Ricardo Berlasso, Fernando Perez Quintián, María A. Rebollo, Carlos A. Raffo, and Néstor G. Gaggioli  »View Author Affiliations


Applied Optics, Vol. 39, Issue 31, pp. 5811-5819 (2000)
http://dx.doi.org/10.1364/AO.39.005811


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Abstract

The autocorrelation function of the intensity scattered from cylindrical rough surfaces is analytically obtained with the Kirchhoff scalar diffraction theory. It is shown that, in contrast to the case in which planar rough surfaces scatter radiation, this function, related to the speckle size, depends on the statistical parameters that characterize the surface and on the scattering direction. This result suggests a new, to our knowledge, optical method that can be applied to the characterization of cylindrical rough surfaces, such as in on-line quality assessment, in manufacturing processes. The calculated theoretical expression was tested, showing good agreement with experiments.

© 2000 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(240.5770) Optics at surfaces : Roughness
(290.5880) Scattering : Scattering, rough surfaces

History
Original Manuscript: January 27, 2000
Revised Manuscript: July 25, 2000
Published: November 1, 2000

Citation
Ricardo Berlasso, Fernando Perez Quintián, María A. Rebollo, Carlos A. Raffo, and Néstor G. Gaggioli, "Study of speckle size of light scattered from cylindrical rough surfaces," Appl. Opt. 39, 5811-5819 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-31-5811


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References

  1. P. Beckmann, A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, London, 1963).
  2. J. C. Dainty, ed., Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1975). [CrossRef]
  3. J. A. Ogilvy, Theory of Wave Scattering from Random Rough Surfaces (Adam Hilger, Bristol, UK, 1991).
  4. J. M. Bennett, Surface Finish and its Measurement, Vol. 2 of OSA Collected Works in Optics Series (Optical Society of America, Washington, D.C., 1992).
  5. G. Da Costa, J. Ferrari, “Anisotropic speckle patterns in the light scattered by rough cylindrical surfaces,” Appl. Opt. 36, 5231–5237 (1997). [CrossRef] [PubMed]
  6. F. Perez Quintián, M. A. Rebollo, N. G. Gaggioli, “Optical methods for on line surface wire testing,” in Proceedings of the 7th European Conference on Non Destructive Testing (7th ECNDT, Broendby, Denmark, 1998), pp. 2920–2926 (also available on line at http://www.ntd.net ).
  7. F. Perez Quintián, M. A. Rebollo, R. Berlasso, N. G. Gaggioli, “Roughness measurement on cylindrical surfaces by optical methods,” in Proceedings of the International Symposium on Laser Metrology for Precision Measurement and Inspection in Industry (International Measurement Confederation, Earlangen, Germany, 1999), pp. 5.48–5.57.
  8. F. Perez Quintián, M. A. Rebollo, M. T. Bernal, C. A. Raffo, “Measurements of high quality wire roughness,” in Proceedings of the International Symposium on Laser Metrology for Precision Measurement and Inspection in Industry (International Measurement Confederation, Earlangen, Germany, 1999), pp. 5.58–5.64.
  9. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed., Vol. 9 of Topics in Applied Physics Series (Springer-Verlag, Berlin, 1975), pp. 9–75.

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