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Applied Optics

Applied Optics


  • Vol. 37, Iss. 20 — Jul. 10, 1998
  • pp: 4321–4329

Algorithm to increase the largest aberration that can be reconstructed from Hartmann sensor measurements

Michael C. Roggemann and Timothy J. Schulz  »View Author Affiliations

Applied Optics, Vol. 37, Issue 20, pp. 4321-4329 (1998)

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Conventional Hartmann sensor processing relies on locating the centroid of the image that is formed behind each element of a lenslet array. These centroid locations are used for computing the local gradient of the incident aberration, from which the phase of the incident wave front is calculated. The largest aberration that can reliably be sensed in a conventional Hartmann sensor must have a local gradient small enough that the spot formed by each lenslet is confined to the area behind the lenslet: If the local gradient is larger, spots form under nearby lenslets, causing a form of cross talk between the wave-front sensor channels. We describe a wave-front reconstruction algorithm that processes the whole image measured by a Hartmann sensor and a conventional image that is formed by use of the incident aberration. We show that this algorithm can accurately estimate aberrations for cases in which the aberration is strong enough to cause many of the images formed by individual lenslets to fall outside the local region of the Hartmann sensor detector plane defined by the edges of a lenslet.

© 1998 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(050.5080) Diffraction and gratings : Phase shift
(130.6010) Integrated optics : Sensors
(220.1010) Optical design and fabrication : Aberrations (global)

Original Manuscript: December 1, 1997
Revised Manuscript: March 30, 1998
Published: July 10, 1998

Michael C. Roggemann and Timothy J. Schulz, "Algorithm to increase the largest aberration that can be reconstructed from Hartmann sensor measurements," Appl. Opt. 37, 4321-4329 (1998)

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