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Title: Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
908382
Report Number(s):
UCRL-JRNL-229735
TRN: US200722%%619
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Resource Relation:
Journal Name: Optics Express, n/a, no. 8, April 16, 2007, pp. 5147 - 5149; Journal Issue: 8
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUMM MECHANICS, GENERAL PHYSICS; ALGORITHMS; SIGNAL-TO-NOISE RATIO; TELESCOPES

Citation Formats

Baker, K L, and Moallem, M M. Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors. United States: N. p., 2007. Web. doi:10.1364/OE.15.005147.
Baker, K L, & Moallem, M M. Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors. United States. doi:10.1364/OE.15.005147.
Baker, K L, and Moallem, M M. Wed . "Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors". United States. doi:10.1364/OE.15.005147. https://www.osti.gov/servlets/purl/908382.
@article{osti_908382,
title = {Iteratively Weighted Centroiding for Shack-Hartmann Wave-Front Sensors},
author = {Baker, K L and Moallem, M M},
abstractNote = {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.},
doi = {10.1364/OE.15.005147},
journal = {Optics Express, n/a, no. 8, April 16, 2007, pp. 5147 - 5149},
number = 8,
volume = ,
place = {United States},
year = {Wed Feb 28 00:00:00 EST 2007},
month = {Wed Feb 28 00:00:00 EST 2007}
}