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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 15 — Jul. 18, 2011
  • pp: 14671–14681

Design of algorithms for phase shifting interferometry using self-convolution of the rectangle window

Zhenguang Shi, Jian Zhang, Yongxin Sui, Ji Peng, Feng Yan, and Huaijiang Yang  »View Author Affiliations


Optics Express, Vol. 19, Issue 15, pp. 14671-14681 (2011)
http://dx.doi.org/10.1364/OE.19.014671


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Abstract

The objective of this paper is to design phase shifting algorithms error-resistant to the nonlinearity of phase-shift error and photoelectric detector simultaneously. An effective construction approach is proposed based on self-convolution of the rectangle window to design algorithms with perfect zero point distribution, according to the fact that the error-resistant capability is entirely determined by the number and order of zero points of Fourier transform of the related window function. Theoretical analysis and numerical simulations compared to the commercial 13-frame algorithm demonstrate the validity of the approach to design algorithms with enhanced error-resistant capability not only to CCD-caused harmonics but also to PZT ramping nonlinearity.

© 2011 OSA

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 22, 2011
Revised Manuscript: May 20, 2011
Manuscript Accepted: May 23, 2011
Published: July 15, 2011

Citation
Zhenguang Shi, Jian Zhang, Yongxin Sui, Ji Peng, Feng Yan, and Huaijiang Yang, "Design of algorithms for phase shifting interferometry using self-convolution of the rectangle window," Opt. Express 19, 14671-14681 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-15-14671


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References

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