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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 29 — Oct. 10, 2012
  • pp: 7115–7123

Weighted Fried reconstructor and spatial-frequency response optimization of Shack–Hartmann wavefront sensing

Tenghao Li, Mali Gong, Lei Huang, Yuntao Qiu, and Qiao Xue  »View Author Affiliations


Applied Optics, Vol. 51, Issue 29, pp. 7115-7123 (2012)
http://dx.doi.org/10.1364/AO.51.007115


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Abstract

Two modified Fried wavefront reconstructors are proposed, both based on an enhanced geometry that combines and balances those of Fried and Hudgin with an additional weight. The optimal weights for both of them are derived with the analytical frequency response functions, which can provide near-unity spatial frequency response over broad bandwidth to the Shack–Hartmann wavefront sensing system. Comparisons between the proposed reconstructors and the classical ones are presented in the frequency domain, and simulations have further confirmed the frequency characteristic and the reconstruction performance of the new reconstructors. It is expected that the optimized reconstructors can help improve the performance of adaptive optics systems for high-power laser wavefront control and other relevant optical systems that require high-accuracy wavefront sensing.

© 2012 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: July 23, 2012
Revised Manuscript: September 10, 2012
Manuscript Accepted: September 10, 2012
Published: October 10, 2012

Citation
Tenghao Li, Mali Gong, Lei Huang, Yuntao Qiu, and Qiao Xue, "Weighted Fried reconstructor and spatial-frequency response optimization of Shack–Hartmann wavefront sensing," Appl. Opt. 51, 7115-7123 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-29-7115


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References

  1. J. W. Hardy, Adaptive Optics for Astronomical Telescopes(Oxford University, 1998).
  2. R. K. Tyson, Principles of Adaptive Optics (CRC Press, 2011).
  3. B. C. Platt and R. Shack, “History and principles of Shack-Hartmann wavefront sensing,” J. Refract. Surg. 17, S573–S577 (2001).
  4. B. Schäfer, M. Lübbecke, and K. Mann, “Hartmann-Shack wave front measurements for real time determination of laser beam propagation parameters,” Rev. Sci. Instrum. 77, 053103 (2006). [CrossRef]
  5. A. Brooks, P. Veitch, J. Munch, and T.-L. Kelly, “An off-axis Hartmann sensor for the measurement of absorption-induced wavefront distortion in advanced gravitational wave interferometers,” Gen. Relativ. Gravit. 37, 1575–1580 (2005). [CrossRef]
  6. S.-W. Bahk, “Band-limited wavefront reconstruction with unity frequency response from Shack-Hartmann slopes measurements,” Opt. Lett. 33, 1321–1323 (2008). [CrossRef]
  7. S.-W. Bahk, “Highly accurate wavefront reconstruction algorithms over broad spatial-frequency bandwidth,” Opt. Express 19, 18997–19014 (2011). [CrossRef]
  8. X. Gao, Y. Su, C. Xie, J. He, X. Yuan, Y. Guan, and Y. Ye, “Centroid position of focal spot of laser beam with aberration,” High Power Laser Particle Beams 18, 717–719 (2006) (in Chinese).
  9. J. Primot, “Theoretical description of Shack-Hartmann wave-front sensor,” Opt. Commun. 222, 81–92 (2003). [CrossRef]
  10. K. L. Baker and M. M. Moallen, “Iteratively weighted centroiding for Shack-Hartmann wave-front sensors,” Opt. Express 15, 5147–5159 (2007). [CrossRef]
  11. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. A 67, 375–378 (1977). [CrossRef]
  12. D. L. Fried, “Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. A 67, 370–375 (1977). [CrossRef]
  13. W. H. Southwell, “Wave-front estimation from wave-front slope measurements,” J. Opt. Soc. Am. A 70, 998–1006 (1980). [CrossRef]
  14. R. Cubalchini, “Modal wave-front estimation from phase derivative measurements,” J. Opt. Soc. Am. A 69, 972–977 (1979). [CrossRef]
  15. L. Lessard, M. West, D. MacMynowski, and S. Lall, “Warm-started wave-front reconstruction for adaptive optics,” J. Opt. Soc. Am. A 25, 1147–1155 (2008). [CrossRef]
  16. L. Lessard, M. West, D. MacMynowski, A. Bouchez, and S. Lall, “Experimental validation of single-iteration multigrid wavefront reconstruction at the Palomar Observatory,” Opt. Lett. 33, 2047–2049 (2008). [CrossRef]
  17. L. A. Poyneer, D. T. Gavel, and J. M. Brase, “Fast wave-front reconstruction in large adaptive optics systems with use of the Fourier transform,” J. Opt. Soc. Am. A 19, 2100–2111 (2002). [CrossRef]

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