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Optics Express

Optics Express

  • Editor: Micha
  • Vol. 13, Iss. 23 — Nov. 14, 2005
  • pp: 9570–9584

Hartmann-Shack test with random masks for modal wavefront reconstruction

Oleg Soloviev and Gleb Vdovin  »View Author Affiliations


Optics Express, Vol. 13, Issue 23, pp. 9570-9584 (2005)
http://dx.doi.org/10.1364/OPEX.13.009570


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Abstract

The paper discusses the influence of the geometry of a Hartmann-(Shack) wavefront sensor on the total error of modal wavefront reconstruction. A mathematical model is proposed, which describes the modal wavefront reconstruction in terms of linear operators. The model covers the most general case and is not limited by the orthogonality of decomposition basis or by the method chosen for decomposition. The total reconstruction error is calculated for any given statistics of the wavefront to be measured. Based on this estimate, the total reconstruction error is calculated for regular and randomised Hartmann masks. The calculations demonstrate that random masks with non-regular Fourier spectra provide absolute minimum error and allow to double the number of decomposition modes.

© 2005 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:
Research Papers

History
Original Manuscript: September 26, 2005
Revised Manuscript: November 7, 2005
Published: November 14, 2005

Citation
Oleg Soloviev and Gleb Vdovin, "Hartmann-Shack test with random masks for modal wavefront reconstruction," Opt. Express 13, 9570-9584 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-23-9570


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