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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 20415–20429

Optics InfoBase > Optics Express > Volume 17 > Issue 22 > Page 20415

Spatial phase-shifting characteristic of double grating interferometer

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


Optics Express, Vol. 17, Issue 22, pp. 20415-20429 (2009)
http://dx.doi.org/10.1364/OE.17.020415


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Abstract

Double grating interferometer is usually used to achieve phase information from distorted wave front by its temporal phase-shifting characteristic. In this paper, the spatial phase-shifting characteristic of double grating interferometer is presented. The explicit intensity distributions of interferograms produced by double gratings are derived with the scalar diffraction theory, and the stable phase shift is found between plus-first, zero and minus-first order interferograms. Results indicate that the phase shift only depends on the grating period and the distance between two gratings if no phase object exists. If phase object exists, it varies on the interferograms. But the phase shifts are equal at any special point of interferograms. In particular, the triple grating interferometer is presented to generate at least four phase shift interferograms simultaneously with the similar method.

© 2009 OSA

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.5080) Diffraction and gratings : Phase shift
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: August 20, 2009
Revised Manuscript: October 4, 2009
Manuscript Accepted: October 4, 2009
Published: October 23, 2009

Citation
Yang Song, YunYun Chen, Anzhi He, and Zhimin Zhao, "Spatial phase-shifting characteristic of double grating interferometer," Opt. Express 17, 20415-20429 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-22-20415


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References

  1. . H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, “Digital wavefront measureing interferometer for testing optical surfaces and lenses,” Appl. Opt. 13(11), 2693–2703 (1974). [CrossRef] [PubMed]
  2. H. Schreiber and J. Schwider, “Lateral shearing interferometer based on two Ronchi phase gratings in series,” Appl. Opt. 36(22), 5321–5324 (1997). [CrossRef] [PubMed]
  3. Y. Awatsuji, T. Tahara, A. Kaneko, T. Koyama, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel two-step phase-shifting digital holography,” Appl. Opt. 47(19), D183–D189 (2008). [CrossRef] [PubMed]
  4. S. Wolfling, E. Lanzmann, N. Ben-Yosef, and Y. Arieli, “Wavefront reconstruction by spatial-phase-shift imaging interferometry,” Appl. Opt. 45(12), 2586–2596 (2006). [CrossRef] [PubMed]
  5. S. Wolfling, E. Lanzmann, M. Israeli, N. Ben-Yosef, and Y. Arieli, “Spatial phase-shift interferometry—a wavefront analysis technique for three-dimensional topometry,” J. Opt. Soc. Am. A 22(11), 2498–2509 (2005). [CrossRef]
  6. B. K. A. Ngoi, K. Venkatakrishnan, and N. R. Sivakumar, “Phase-shifting interferometry immune to vibration,” Appl. Opt. 40(19), 3211–3214 (2001). [CrossRef]
  7. H. Kihm and S.-W. Kim, “Fiber-diffraction interferometer for vibration desensitization,” Opt. Lett. 30(16), 2059–2061 (2005). [CrossRef] [PubMed]
  8. C. Han and B. Han, “Phase-shifting in achromatic moiré interferometry system,” Opt. Express 15(16), 9970–9976 (2007). [CrossRef] [PubMed]
  9. A. Hettwer, J. Kranz, and J. Schwider, “Three channel phase-shifting interferometer using polarization-optics and a diffraction grating,” Opt. Eng. 39(4), 960–966 (2000). [CrossRef]
  10. G. Rodriguez-Zurita, C. Meneses-Fabian, N.-I. Toto-Arellano, J. F. Vázquez-Castillo, and C. Robledo-Sánchez, “One-shot phase-shifting phase-grating interferometry with modulation of polarization: case of four interferograms,” Opt. Express 16(11), 7806 (2008). [CrossRef] [PubMed]
  11. M. Kujawinska, L. Salbut, and K. Patorski, “Three-channel phase stepped system for moire interferometry,” Appl. Opt. 30(13), 1633–1635 (1991). [CrossRef] [PubMed]
  12. O. Y. Kwon, “Multichannel phase-shifted interferometer,” Opt. Lett. 9(2), 59–61 (1984). [CrossRef] [PubMed]
  13. A. Lohmann and O. Bryngdahl, “A Lateral Wavefront Shearing Interferometer with Variable Shear,” Appl. Opt. 6(11), 1934–1937 (1967). [CrossRef] [PubMed]
  14. K. Patorski and L. Salbut, “Optical differentiation of distorted gratings using Talbot and double diffraction interferometry Further considerations,” Opt. Acta (Lond.) 32, 1323–1331 (1985). [CrossRef]
  15. K. Patorski, “Talbot interferometry with increased shear,” Appl. Opt. 24(24), 4448–4453 (1985). [CrossRef] [PubMed]
  16. I. Amidror and R. D. Hersch, “Fourier-based analysis of phase shifts in the superposition of periodic layers and their moiré effects,” J. Opt. Soc. Am. A 13(5), 974–987 (1996). [CrossRef]
  17. M. Kujawinska, “Fresnel-field analysis of double-grating systems and their application in phase-stepping grating interferometers,” J. Opt. Soc. Am. A 5(6), 849–857 (1988). [CrossRef]
  18. G. W. R. Leibbrandt, G. Harbers, and P. J. Kunst, “Wave-front analysis with high accuracy by use of a double-grating lateral shearing interferometer,” Appl. Opt. 35(31), 6151–6161 (1996). [CrossRef] [PubMed]
  19. H. Schreiber and J. Schwider, “Lateral shearing interferometer based on two Ronchi phase gratings in series,” Appl. Opt. 36(22), 5321–5324 (1997). [CrossRef] [PubMed]
  20. B. Bon, J. Pierre, L. Wosinski, and M. Breidne, “Double grating phase stepping interferometry for testing aspherics,” Pure Appl. Opt. 1, 15 (1992).
  21. Y. Song, Y. Y. Chen, A. He, and Z. Zhao, “Theoretical analysis for moiré deflectometry from diffraction theory,” J. Opt. Soc. Am. A 26(4), 882–889 (2009). [CrossRef]
  22. M. Born, and E. Wolf, Principles of Optics (Cambridge, United Kingdom, 1999).
  23. G. Stoilov and T. Dragostinov, “Phase-stepping interferometry: Five-frame algorithm with an arbitrary step,” Opt. Lasers Eng. 28(1), 61–69 (1997). [CrossRef]
  24. E. Keren, E. Bar-Ziv, I. Glatt, and O. Kafri, “Measurements of temperature distribution of flames by moire deflectometry,” Appl. Opt. 20(24), 4263–4266 (1981). [CrossRef] [PubMed]
  25. Y. Song, B. Zhang, and A. He, “Algebraic iterative algorithm for deflection tomography and its application to density flow fields in a hypersonic wind tunnel,” Appl. Opt. 45(31), 8092–8101 (2006). [CrossRef] [PubMed]

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