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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 36, Iss. 4 — Feb. 15, 2011
  • pp: 433–435

Wavefront sensing with critical sampling

Rafael Navarro, Justo Arines, and Ricardo Rivera  »View Author Affiliations


Optics Letters, Vol. 36, Issue 4, pp. 433-435 (2011)
http://dx.doi.org/10.1364/OL.36.000433


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Abstract

Different types of nonredundant sampling patterns are shown to guarantee completeness of the basis formed by the sampled partial derivatives of Zernike polynomials, commonly used to reconstruct the wavefront from its slopes (wavefront sensing). In the ideal noise-free case, this enables one to recover double the number of modes J than sampling points I (critical sampling J = 2 I ). With real data, noise amplification makes the optimal number of modes lower I < J < 2 I . Our computer simulations show that optimized nonredundant sampling provides a significant improvement of wavefront reconstructions, with the number of modes recovered about 2.5 higher than with standard sampling patterns.

© 2011 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(220.1010) Optical design and fabrication : Aberrations (global)
(080.1005) Geometric optics : Aberration expansions

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: October 8, 2010
Revised Manuscript: December 21, 2010
Manuscript Accepted: December 21, 2010
Published: January 31, 2011

Citation
Rafael Navarro, Justo Arines, and Ricardo Rivera, "Wavefront sensing with critical sampling," Opt. Lett. 36, 433-435 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-4-433


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