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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 7 — Mar. 1, 2011
  • pp: B31–B37

Compensation algorithm for the phase-shift error of polarization-based parallel two-step phase-shifting digital holography

Tatsuki Tahara, Kenichi Ito, Takashi Kakue, Motofumi Fujii, Yuki Shimozato, Yasuhiro Awatsuji, Kenzo Nishio, Shogo Ura, Toshihiro Kubota, and Osamu Matoba  »View Author Affiliations


Applied Optics, Vol. 50, Issue 7, pp. B31-B37 (2011)
http://dx.doi.org/10.1364/AO.50.000B31


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Abstract

We propose an algorithm for compensating the phase-shift error of polarization-based parallel two-step phase-shifting digital holography, which is a technique for recording a spatial two-step phase-shifted hologram. Although a polarization-based system of the technique has been experimentally demonstrated, there had been the problem that the phase difference of two phase-shifted holograms had been changed by the extinction ratio of the micropolarizer array attached to the image sensor used in the system. To improve the performance of the system, we established and formulated an algorithm for compensating the phase-shift error. Accurate spatial phase-shifting interferometry in the system can be conducted by the algorithm regardless of phase-shift error due to the extinction ratio. By the numerical simulation, the proposed algorithm was capable of reducing the root mean square errors of the reconstructed image by 1 / 4 and 1 / 5 in amplitude and phase, respectively. Also, the algorithm was experimentally demonstrated, and the experimental results showed that the system employing the proposed algorithm suppressed the conjugate image, which slightly appeared in the image reconstructed by the system not employing the algorithm, even when the extinction ratio was 10 : 1 . Thus, the effectiveness of the proposed algorithm was numerically and experimentally verified.

© 2011 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(090.1995) Holography : Digital holography

History
Original Manuscript: August 3, 2010
Revised Manuscript: November 8, 2010
Manuscript Accepted: November 10, 2010
Published: December 9, 2010

Citation
Tatsuki Tahara, Kenichi Ito, Takashi Kakue, Motofumi Fujii, Yuki Shimozato, Yasuhiro Awatsuji, Kenzo Nishio, Shogo Ura, Toshihiro Kubota, and Osamu Matoba, "Compensation algorithm for the phase-shift error of polarization-based parallel two-step phase-shifting digital holography," Appl. Opt. 50, B31-B37 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-7-B31

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