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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 5 — Feb. 10, 2009
  • pp: 932–940

Angular displacement and deformation analyses using a speckle-based wavefront sensor

Percival F. Almoro, Giancarlo Pedrini, Arun Anand, Wolfgang Osten, and Steen G. Hanson  »View Author Affiliations

Applied Optics, Vol. 48, Issue 5, pp. 932-940 (2009)

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Wavefronts incident on a random phase plate are reconstructed via phase retrieval utilizing axially displaced speckle intensity measurements and the wave propagation equation. Retrieved phases and phase subtraction facilitate the investigations of wavefronts from test objects before and after undergoing a small rotation or deformation without sign ambiguity. Angular displacement ( Δ θ ) between incident planar wavefronts is determined from the light source vacuum wavelength (λ) divided by the fringe spacing (Λ). Fourier analysis of the wavefront phase difference yields a peak frequency that is inversely proportional to Λ, and the sign gives the direction of rotation. Numerical simulations confirm the experimental results. In the experiments, the smallest Δ θ measured is 0.031 ° . The technique also permits deformation analysis of a reflecting test object under thermal loading. The technique offers simple, high resolution, noncontact, and whole field evaluation of three-dimensional objects before and after undergoing rotation or deformation.

© 2009 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.6140) Coherence and statistical optics : Speckle
(050.1960) Diffraction and gratings : Diffraction theory
(090.2880) Holography : Holographic interferometry
(350.5030) Other areas of optics : Phase
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Coherence and Statistical Optics

Original Manuscript: May 9, 2008
Revised Manuscript: October 7, 2008
Manuscript Accepted: January 14, 2009
Published: February 3, 2009

Percival F. Almoro, Giancarlo Pedrini, Arun Anand, Wolfgang Osten, and Steen G. Hanson, "Angular displacement and deformation analyses using a speckle-based wavefront sensor," Appl. Opt. 48, 932-940 (2009)

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