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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 11 — Nov. 1, 2012
  • pp: 2428–2438

Semidefinite programming for model-based sensorless adaptive optics

Jacopo Antonello, Michel Verhaegen, Rufus Fraanje, Tim van Werkhoven, Hans C. Gerritsen, and Christoph U. Keller  »View Author Affiliations


JOSA A, Vol. 29, Issue 11, pp. 2428-2438 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002428


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Abstract

Wavefront sensorless adaptive optics methodologies are widely considered in scanning fluorescence microscopy where direct wavefront sensing is challenging. In these methodologies, aberration correction is performed by sequentially changing the settings of the adaptive element until a predetermined image quality metric is optimized. An efficient aberration correction can be achieved by modeling the image quality metric with a quadratic polynomial. We propose a new method to compute the parameters of the polynomial from experimental data. This method guarantees that the quadratic form in the polynomial is semidefinite, resulting in a more robust computation of the parameters with respect to existing methods. In addition, we propose an algorithm to perform aberration correction requiring a minimum of N+1 measurements, where N is the number of considered aberration modes. This algorithm is based on a closed-form expression for the exact optimization of the quadratic polynomial. Our arguments are corroborated by experimental validation in a laboratory environment.

© 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
(220.1000) Optical design and fabrication : Aberration compensation
(110.0113) Imaging systems : Imaging through turbid media

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: July 6, 2012
Manuscript Accepted: September 18, 2012
Published: October 22, 2012

Citation
Jacopo Antonello, Michel Verhaegen, Rufus Fraanje, Tim van Werkhoven, Hans C. Gerritsen, and Christoph U. Keller, "Semidefinite programming for model-based sensorless adaptive optics," J. Opt. Soc. Am. A 29, 2428-2438 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-11-2428

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