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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 4 — Apr. 1, 2009
  • pp: 882–889

Theoretical analysis for moiré deflectometry from diffraction theory

Yang Song, Yun Yun Chen, Anzhi He, and Zhimin Zhao  »View Author Affiliations

JOSA A, Vol. 26, Issue 4, pp. 882-889 (2009)

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Theories of moiré deflectometry are presented based on scalar diffraction theory. It is shown that the moiré effect is not a pure geometric phenomenon but actually the result of multishearing interference. By performing zeroth-order or first-order filtering, the field in the plane of observation is seen to be the result of double- or triple-shearing interference, respectively. With first-order filtering, the intensity distribution is proved to be a strict cosinusoidal intensity distribution, and the diffraction effect, which depends on the distance between two gratings, affects just the phase shift of the moiré fringes. Compared with previous research, a more precise relation between the unwrapped phase and the deflection angles is obtained. The results will be very useful for image processing of moiré patterns with Fourier transform profilometry and phase-shift methods.

© 2009 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

ToC Category:
X-ray Optics

Original Manuscript: August 12, 2008
Revised Manuscript: February 16, 2009
Manuscript Accepted: February 16, 2009
Published: March 19, 2009

Yang Song, Yun Yun Chen, Anzhi He, and Zhimin Zhao, "Theoretical analysis for moiré deflectometry from diffraction theory," J. Opt. Soc. Am. A 26, 882-889 (2009)

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