Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors

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Several techniques have been used with Shack-Hartmann wavefront sensors to determine the local wave-front gradient across each lenslet. In this article we introduce an iterative weighted technique which is specifically targeted for open-loop applications such as aberrometers and metrology. In this article the iterative centroiding technique is compared to existing techniques such as center-of-mass with thresholding, weighted center-of-gravity, matched filter and cross-correlation. Under conditions of low signal-to-noise ratio, the iterative weighted centroiding algorithm is demonstrated to produce a lower variance in the reconstructed phase than existing techniques. The iteratively weighted algorithm was also compared in closed-loop and demonstrated to have ... continued below

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Baker, K L & Moallem, M M February 28, 2007.

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Several techniques have been used with Shack-Hartmann wavefront sensors to determine the local wave-front gradient across each lenslet. In this article we introduce an iterative weighted technique which is specifically targeted for open-loop applications such as aberrometers and metrology. In this article the iterative centroiding technique is compared to existing techniques such as center-of-mass with thresholding, weighted center-of-gravity, matched filter and cross-correlation. Under conditions of low signal-to-noise ratio, the iterative weighted centroiding algorithm is demonstrated to produce a lower variance in the reconstructed phase than existing techniques. The iteratively weighted algorithm was also compared in closed-loop and demonstrated to have the lowest error variance along with the weighted center-of-gravity, however, the iteratively weighted algorithm removes the bulk of the aberration in roughly half the iterations than the weighted center-of-gravity algorithm. This iterative weighted algorithm is also well suited to applications such as guiding on telescopes.

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PDF-file: 15 pages; size: 0.3 Mbytes

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  • Journal Name: Optics Express, n/a, no. 8, April 16, 2007, pp. 5147 - 5149; Journal Issue: 8

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  • Report No.: UCRL-JRNL-229735
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 908382
  • Archival Resource Key: ark:/67531/metadc880225

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  • February 28, 2007

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 29, 2016, 4:34 p.m.

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Baker, K L & Moallem, M M. Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors, article, February 28, 2007; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc880225/: accessed May 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.