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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 12 — Jun. 15, 2006
  • pp: 1845–1847

Wavefront sensing and reconstruction from gradient and Laplacian data measured with a Hartmann–Shack sensor

Sergio Barbero, Jacob Rubinstein, and Larry N. Thibos  »View Author Affiliations

Optics Letters, Vol. 31, Issue 12, pp. 1845-1847 (2006)

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A new wavefront sensing and reconstruction technique is presented. It is possible to measure Laplacian and gradient information of a wavefront with a Hartmann–Shack setup. By simultaneously using the Laplacian and gradient data we reconstruct the wavefront by sequentially solving two partial differential equations.

© 2006 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(080.2720) Geometric optics : Mathematical methods (general)

ToC Category:
Wave-front Sensing

Original Manuscript: January 13, 2006
Revised Manuscript: March 29, 2006
Manuscript Accepted: March 30, 2006

Sergio Barbero, Jacob Rubinstein, and Larry N. Thibos, "Wavefront sensing and reconstruction from gradient and Laplacian data measured with a Hartmann-Shack sensor," Opt. Lett. 31, 1845-1847 (2006)

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  1. R. K. Tyson, Principles of Adaptive Optics (Academic, 1998).
  2. K. A. Nugent, D. Paganin, and T. E. Gureyev, Phys. Today 54, 27 (2001). [CrossRef]
  3. D. A. Atchison and G. Smith, Optics of the Human Eye (Butterworth-Heinemann, 2000).
  4. A. Sommerfeld and J. I. Runge, Ann. Phys. 35, 277 (1911). [CrossRef]
  5. M. R. Teague, J. Opt. Soc. Am. 73, 1434 (1983). [CrossRef]
  6. S. Bara, J. Opt. Soc. Am. A 20, 2237 (2003). [CrossRef]
  7. S. Barbero and L. N. Thibos, ''Error analysis and correction in wavefront reconstruction from Transport-of-Intensity-Equation,'' Opt. Eng. (to be published).
  8. C. Paterson and J. C. Dainty, Opt. Lett. 25, 1687 (2000). [CrossRef]
  9. Y. Pinchover and J. Rubinstein, Introduction to Partial Differential Equations (Cambridge U. Press, 2005). [CrossRef]
  10. L. N. Thibos, R. A. Applegate, J. T. Schwiegerling, and R. Webb, J. Refract. Surg. 16, S654 (2000). [PubMed]

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