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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 15 — Jul. 29, 2013
  • pp: 17421–17434

Inhomogeneous phase-visibility modulating interferometry by space on-off non-quadrature amplitude modulation

Uriel Rivera-Ortega, Cruz Meneses-Fabian, and Gustavo Rodriguez-Zurita  »View Author Affiliations

Optics Express, Vol. 21, Issue 15, pp. 17421-17434 (2013)

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A new method in interferometry based on on-off non-quadrature amplitude modulation for object phase retrieval is presented. Although the technique introduces inhomogeneous visibility and phase variations in the interferogram, it is shown that the phase retrieval of a given object is still possible. This method is implemented by using three beams and two Mach-Zehnder interferometers in series. One of the arms of the system is used as a probe beam and the other two are used as reference beams, yielding from their sum the conventional reference beam of a two-beam interferometer. We demonstrate that, if there is a phase difference within the range of (0,π) between these two beams, the effect of modulation in both amplitude and phase is generated for the case of on-off non-quadrature amplitude modulation. An analytical discussion is provided to sustain this method. Numerical and experimental results are also shown.

© 2013 OSA

OCIS Codes
(120.2440) Instrumentation, measurement, and metrology : Filters
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5060) Instrumentation, measurement, and metrology : Phase modulation

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: January 22, 2013
Revised Manuscript: March 3, 2013
Manuscript Accepted: March 4, 2013
Published: July 15, 2013

Uriel Rivera-Ortega, Cruz Meneses-Fabian, and Gustavo Rodriguez-Zurita, "Inhomogeneous phase-visibility modulating interferometry by space on-off non-quadrature amplitude modulation," Opt. Express 21, 17421-17434 (2013)

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  1. J. Schwider, “Advanced Evaluation Techniques in Interferometry,” in Progress in Optics, Vol. XXVIII, E. Wolf, ed., (Elsevier Science, 1990), pp. 274–276.
  2. D. Malacara, Optical Shop Testing (Wiley, New York, 2007), pp. 547–550.
  3. G. Lai and T. Yatagai, “Generalized phase-shifting interferometry,” J. Opt. Soc. Am. A8(5), 822–827 (1991). [CrossRef]
  4. L. Z. Cai, Q. Liu, and X. L. Yang, “Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects,” Opt. Lett.29(2), 183–185 (2004). [CrossRef] [PubMed]
  5. X. Xu, L. Cai, H. Yuan, Q. Zhang, G. Lu, and C. Wang, “Phase shift selection for two-step generalized phase-shifting interferometry,” Appl. Opt.50(34), H171–H176 (2011). [CrossRef] [PubMed]
  6. A. Patil and P. Rastogi, “Approaches in generalized phase shifting interferometry,” Opt. Lasers Eng.43(3-5), 475–490 (2005). [CrossRef]
  7. C. T. Farrell and M. A. Player, “Phase-step insensitive algorithms for phase-shifting interferometry,” Meas. Sci. Technol.5(6), 648–654 (1994). [CrossRef]
  8. G. S. Han and S. W. Kim, “Numerical correction of reference phases in phase-shifting interferometry by iterative least-squares fitting,” Appl. Opt.33(31), 7321–7325 (1994). [CrossRef] [PubMed]
  9. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, “Digital Wavefront Measuring Interferometer for Testing Optical Surfaces and Lenses,” Appl. Opt.13(11), 2693–2703 (1974). [CrossRef] [PubMed]
  10. Z. Zhigang, “Numerical analysis of optical bistability based on Fiber Bragg Grating cavity containing a high nonlinearity doped-fiber,” Opt. Commun.285, 521–526 (2011).
  11. Z. Zhi-Gang and Y. Wen-Xuan, “Theoretical an experimental investigation of all-optical switcing based on cascaded LPFGs separated by an erbium-doped fiber,” J. of Appl. Opt.109, 103106 (2011).
  12. Q. Yang, R. Zhou, and B. Zhao, “Principle of the moving-mirror-pair interferometer and the tilt tolerance of the double moving mirror,” Appl. Opt.47(13), 2486–2493 (2008). [CrossRef] [PubMed]
  13. J. C. Wyant and R. N. Shagam, “Use of Electronic Phase Measurement Techniques in Optical Testing,” Proc. ICO-11, Madrid, 659–662 (1978).
  14. D. Malacara, I. Rizo, and A. Morales, “Interferometry and the Doppler Effect,” Appl. Opt.8(8), 1746–1747 (1969). [CrossRef] [PubMed]
  15. T. Kiire, S. Nakadate, and M. Shibuya, “Phase-shifting interferometer based on changing the direction of linear polarization orthogonally,” Appl. Opt.47(21), 3784–3788 (2008). [CrossRef] [PubMed]
  16. T. Susuki and R. Hioki, “Translation of Light Frequency by a Moving Grating,” J. Opt. Soc. Am.57(12), 1551 (1967). [CrossRef]
  17. C. Meneses-Fabian and U. Rivera-Ortega, “Phase-shifting interferometry by wave amplitude modulation,” Opt. Lett.36(13), 2417–2419 (2011). [CrossRef] [PubMed]
  18. C. Meneses-Fabian and U. Rivera-Ortega, “Phase-shifting interferometry by the wave amplitude modulation: General case,” Opt. Lasers Eng.50(7), 905–909 (2012). [CrossRef]
  19. C. Meneses-Fabian and U. Rivera-Ortega, “Phase-shifting interferometry by amplitude modulation,” in: Interferometry research and applications in science and technology, Ivan Padron (Ed.), ISBN 978–953–51–0403–2, InTech, (2012).
  20. K. Itoh, “Analysis of the phase unwrapping algorithm,” Appl. Opt.21(14), 2470 (1982). [CrossRef] [PubMed]

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