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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 19 — Jul. 1, 2012
  • pp: 4316–4324

Distance measurements by speckle correlation of objective speckle patterns, structured by the illumination

Michael Linde Jakobsen and Steen Grüner Hanson  »View Author Affiliations

Applied Optics, Vol. 51, Issue 19, pp. 4316-4324 (2012)

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Objective speckles produced by two beams overlapping and interfering on a rough object surface contain information about the angle of incidence of the two beams, and how well they overlap. We obtain the autocovariance function for such a speckle pattern, and demonstrate how the information carried by the objective speckles can be used to probe the distance between the object and the observation plane. From a distance of 75 mm to a distance of 150 mm, and using an angle of 0.3 deg between the two incident beams, we can measure the actual distance with an uncertainty of better than ±0.1% of the full range. As long as the beams overlap at the object surface, the proposed method can measure distance with an uncertainty inversely proportional to the spot size at the object.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics

ToC Category:
Coherence and Statistical Optics

Original Manuscript: March 6, 2012
Revised Manuscript: May 11, 2012
Manuscript Accepted: May 12, 2012
Published: June 25, 2012

Michael Linde Jakobsen and Steen Grüner Hanson, "Distance measurements by speckle correlation of objective speckle patterns, structured by the illumination," Appl. Opt. 51, 4316-4324 (2012)

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