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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 1535–1543

Theoretical analysis and experimental verification of six-step spatial phase-shifting shearing interferometry by double gratings

Zhen-yan Guo, Yang Song, Jia Wang, Zhen-hua Li, and An-zhi He  »View Author Affiliations


JOSA A, Vol. 30, Issue 8, pp. 1535-1543 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001535


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Abstract

In order to measure the phase projection in moiré tomography, in this paper we present a new spatial phase-shifting shearing interferometry that consists only of a crossed grating and a linear grating. With it, six phase-shifted interferograms can be acquired simultaneously. The intensity distributions of these six interferograms are derived based on the scalar diffraction theory. Analytical results indicate that phase shifts are symmetrically and consistently distributed in the vertical and horizontal directions. Moreover, phase-shift values depend primarily on the parameters of the optical structure. And a six-step phase-shifting algorithm with arbitrary phase-shift values in two perpendicular directions is proposed to extract the phase information. The phase retrieval results of the spherical wave have verified the validity of the proposed method. Finally, an experiment with a plane incident wave is performed to measure the first-order derivative of the phase projection of a propane flame.

© 2013 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.5080) Diffraction and gratings : Phase shift
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 11, 2013
Manuscript Accepted: June 4, 2013
Published: July 15, 2013

Citation
Zhen-yan Guo, Yang Song, Jia Wang, Zhen-hua Li, and An-zhi He, "Theoretical analysis and experimental verification of six-step spatial phase-shifting shearing interferometry by double gratings," J. Opt. Soc. Am. A 30, 1535-1543 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-8-1535


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