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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 5 — Feb. 28, 2011
  • pp: 4703–4713

A single-shot common-path phase-stepping radial shearing interferometer for wavefront measurements

Naiting Gu, Linhai Huang, Zeping Yang, and Changhui Rao  »View Author Affiliations

Optics Express, Vol. 19, Issue 5, pp. 4703-4713 (2011)

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A single-shot common-path phase-stepping radial shearing interferometer (RSI) is proposed for wavefront measurements. In the proposed RSI, three quarter-wave plates are used as phase shifters to produce four spatially separated phase-stepping fringe patterns that are recorded simultaneously by a single CCD camera. The proposed RSI can measure the wavefront under test in real-time, and it is also insensitive to environmental vibration due to its common-path structure. Experimentally the proposed RSI is applied to detect the distorted wavefronts generated by a liquid crystal spatial light modulator. The measured aberrations are in good agreement with that obtained with (by) a Hartmann-Shack wavefront sensor, indicating that the proposed RSI is a useful tool for wavefront measurements.

© 2011 OSA

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(040.1880) Detectors : Detection
(110.1650) Imaging systems : Coherence imaging

ToC Category:
Adaptive Optics

Original Manuscript: January 5, 2011
Revised Manuscript: January 28, 2011
Manuscript Accepted: January 29, 2011
Published: February 24, 2011

Naiting Gu, Linhai Huang, Zeping Yang, and Changhui Rao, "A single-shot common-path phase-stepping radial shearing interferometer for wavefront measurements," Opt. Express 19, 4703-4713 (2011)

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  1. P. Hariharan and D. Sen, “Radial shearing interferometer,” J. Sci. Instrum. 38(11), 428–432 (1961). [CrossRef]
  2. D. Liu, Y. Yang, and Y. Shen, “System optimization of radial shearing interferometer for aspheric testing,” Proc. SPIE 6834, 68340U_1–8 (2007).
  3. M. Wang, B. Zhang, and N. Shouping, “Radial shearing interferometer for aspheric surface testing,” Proc. SPIE 4927, 673–676 (2002). [CrossRef]
  4. T. Kohno, D. Matsumoto, and T. Yazawa, “Radial Shearing Interferometer For In-process Measurement of Diamond Turning,” Proc. SPIE 3173, 280–285 (1997). [CrossRef]
  5. B. Zhang, L. Ma, M. Wang, and A. He, “Aspheric lens testing by means of compact radial shearing interferometer with two zone plates,” Laser Technol. 31, 37–46 (2007) (in Chinese).
  6. W. Kowalik, B. Garncarz, and H. Kasprzak, “Corneal topography measurement by means of radial shearing interference: Part I – theoretical consideration,” Optik (Stuttg.) 113(1), 39–45 (2002). [CrossRef]
  7. W. Kowalik, B. Garncarz, and H. Kasprzak, “Corneal topography measurement by means of radial shearing interference: Part II – experiment results,” Optik (Stuttg.) 113(1), 46–50 (2002). [CrossRef]
  8. W. Kowalik, B. Garncarz, and H. Kasprzak, “Corneal topography measurement by means of radial shearing interference: Part III – measurement errors,” Optik (Stuttg.) 114(5), 199–206 (2003). [CrossRef]
  9. D. Cheung, T. Barnes, and T. Haskell, “Feedback interferometry with membrane mirror for adaptive optics,” Opt. Commun. 218(1-3), 33–41 (2003). [CrossRef]
  10. T. Shirai, “Liquid-crystal adaptive optics based on feedback interferometry for high-resolution retinal imaging,” Appl. Opt. 41(19), 4013–4023 (2002). [CrossRef] [PubMed]
  11. T. Shirai, T. H. Barnes, and T. G. Haskell, “Adaptive wave-front correction by means of all-optical feedback interferometry,” Opt. Lett. 25(11), 773–775 (2000). [CrossRef]
  12. D. Li, P. Wang, X. Li, H. Yang, and H. Chen, “Algorithm for near-field reconstruction based on radial-shearing interferometry,” Opt. Lett. 30(5), 492–494 (2005). [CrossRef] [PubMed]
  13. Y. Yang, Y. Lu, and Y. Chen, “A Radial Shearing Interference system of Testing Laser Pulse Wavefront Distortion and the Original Wavefront Reconstructing,” Proc. SPIE 5638, 200–204 (2005). [CrossRef]
  14. D. Liu, Y. Yang, L. Wang, and Y. Zhuo, “Real time diagnosis of transient pulse laser with high repetition by radial shearing interferometer,” Appl. Opt. 46(34), 8305–8314 (2007). [CrossRef] [PubMed]
  15. C. Hernandez-Gomez, J. L. Collier, S. J. Hawkes, C. N. Danson, C. B. Edwards, D. A. Pepler, I. N. Ross, and T. B. Winstone, “Wave-front control of a large-aperture laser system by use of a static phase corrector,” Appl. Opt. 39(12), 1954–1961 (2000). [CrossRef]
  16. M. Murty, “A Compact Radial Shearing Interferometer Based on the Law of Refraction,” Appl. Opt. 3(7), 853–858 (1964). [CrossRef]
  17. M. V. Murty and R. P. Shukla, “Radial shearing interferometers using a laser source,” Appl. Opt. 12(11), 2765–2767 (1973). [CrossRef] [PubMed]
  18. Q.-S. Ru, N. Ohyama, T. Honda, and J. Tsujiuchi, “Constant radial shearing interferometry with circular gratings,” Appl. Opt. 28(16), 3350–3353 (1989). [CrossRef] [PubMed]
  19. D. E. Silva, “Talbot interferometer for radial and lateral derivatives,” Appl. Opt. 11(11), 2613–2624 (1972). [CrossRef] [PubMed]
  20. R. N. Smartt, “Zone plate interferometer,” Appl. Opt. 13(5), 1093–1099 (1974). [CrossRef] [PubMed]
  21. R. K. Mohanty, C. J. Joenathan, and R. S. Sirohi, “High sensitivity tilt measurement by speckle shear interferometry,” Appl. Opt. 25(10), 1661–1664 (1986). [CrossRef] [PubMed]
  22. C. Joenathan and R. Torroba, “Simple electronic speckle-shearing-pattern interferometer,” Opt. Lett. 15(20), 1159–1161 (1990). [CrossRef] [PubMed]
  23. C. Paterson and J. Notaras, “Demonstration of closed-loop adaptive optics with a point-diffraction interferometer in strong scintillation with optical vortices,” Opt. Express 15(21), 13745–13756 (2007). [CrossRef] [PubMed]
  24. F. Bai and C. Rao, “Experimental validation of closed-loop adaptive optics based on a self-referencing interferometer wavefront sensor and a liquid-crystal spatial light modulator,” Opt. Commun. 283(14), 2782–2786 (2010). [CrossRef]
  25. O. Bryngdahl, “Reversed-Radial-Shearing Interferometry,” J. Opt. Soc. Am. 60(7), 915–917 (1970). [CrossRef]
  26. E. Mihaylova, M. Whelan, and V. Toal, “Simple phase-shifting lateral shearing interferometer,” Opt. Lett. 29(11), 1264–1266 (2004). [CrossRef] [PubMed]
  27. M. P. Kothiyal and C. Delisle, “Shearing interferometer for phase shifting interferometry with polarization phase shifter,” Appl. Opt. 24(24), 4439–4447 (1985). [CrossRef] [PubMed]
  28. C. Y. Chung, K. C. Cho, C. C. Chang, C. H. Lin, W. C. Yen, and S. J. Chen, “Adaptive-optics system with liquid-crystal phase-shift interferometer,” Appl. Opt. 45(15), 3409–3414 (2006). [CrossRef] [PubMed]
  29. D. N. Naik, T. Ezawa, Y. Miyamoto, and M. Takeda, “3-D coherence holography using a modified Sagnac radial shearing interferometer with geometric phase shift,” Opt. Express 17(13), 10633–10641 (2009). [CrossRef] [PubMed]
  30. P. L. Wizinowich, “Phase shifting interferometry in the presence of vibration: a new algorithm and system,” Appl. Opt. 29(22), 3271–3279 (1990). [CrossRef] [PubMed]
  31. X. F. Meng, L. Z. Cai, X. F. Xu, X. L. Yang, X. X. Shen, G. Y. Dong, and Y. R. Wang, “Two-step phase-shifting interferometry and its application in image encryption,” Opt. Lett. 31(10), 1414–1416 (2006). [CrossRef] [PubMed]
  32. J. P. Liu and T. C. Poon, “Two-step-only quadrature phase-shifting digital holography,” Opt. Lett. 34(3), 250–252 (2009). [CrossRef] [PubMed]
  33. C. Dunsby, Y. Gu, and P. French, “Single-shot phase-stepped wide-field coherencegated imaging,” Opt. Express 11(2), 105–115 (2003). [CrossRef] [PubMed]
  34. D. Yu, and H. Tan, Engineering Optics, China machine press, Beijing, chapter 15th, pp: 310, 422, 440–444(2006)(in Chinese).
  35. J. Strand and T. Taxt, “Performance evaluation of two-dimensional phase unwrapping algorithms,” Appl. Opt. 38(20), 4333–4344 (1999). [CrossRef]
  36. T. M. Jeong, D. K. Ko, and J. Lee, “Method of reconstructing wavefront aberrations by use of Zernike polynomials in radial shearing interferometers,” Opt. Lett. 32(3), 232–234 (2007). [CrossRef] [PubMed]
  37. X. Li and C. Wang, “H. XIAN and W. JIANG, “Real-time modal reconstruction algorithm for adaptive optics systems,” Laser and Part. Beams 11, 53–56 (2002) (in Chinese).

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