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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 15 — May. 20, 2011
  • pp: 2185–2191

Estimating the effects of structural vibration on adaptive optics system performance

Keith Powell  »View Author Affiliations

Applied Optics, Vol. 50, Issue 15, pp. 2185-2191 (2011)

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This paper presents analytical tools developed for estimating the effects of structural vibration on closed-loop adaptive optics system image quality. The general equation for the normalized intensity distribution of an image subject to structural vibration is derived. The resulting two-dimensional theoretical point spread function is computed numerically and compared with empirical data obtained on sky at the Multiple Mirror Telescope Observatory. A simplified analytical expression for the normalized intensity distribution is derived for long exposures and used to quantify the effects on Strehl and spot full width at half-maximum as a function of vibration amplitude, telescope diameter, and observation wavelength.

© 2011 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(110.3000) Imaging systems : Image quality assessment
(120.7280) Instrumentation, measurement, and metrology : Vibration analysis
(220.1140) Optical design and fabrication : Alignment
(110.0115) Imaging systems : Imaging through turbulent media
(060.2605) Fiber optics and optical communications : Free-space optical communication

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: December 6, 2010
Revised Manuscript: February 20, 2011
Manuscript Accepted: February 21, 2011
Published: May 13, 2011

Keith Powell, "Estimating the effects of structural vibration on adaptive optics system performance," Appl. Opt. 50, 2185-2191 (2011)

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  1. E. Gendron and P. Léna, “Astronomical adaptive optics I. Modal control optimization,” Astron. Astrophys. 291, 337–347(1994).
  2. C. Dessenne, P.-Y. Madec, and G. Rousset, “Optimization of a predictive controller for closed-loop adaptive optics,” Appl. Opt. 37, 4623–4633 (1998). [CrossRef]
  3. K. B. Powell and V. Vaitheeswaran, “Implementation and on-sky results of an optimal wavefront controller for the MMT NGS adaptive optics system,” Proc. SPIE 7736, 773636 (2010). [CrossRef]
  4. G. Brusa, D. L. Miller, M. A. Kenworthy, D. L. Fisher, and A. Riccardi, “MMT-AO: two years of operation with the first adaptive secondary,” Proc. SPIE 5490, 23–33 (2004). [CrossRef]
  5. C. Neyman and R. Flicker, Keck Telescope Wavefront Errors: Implications for NGAO (W. M. Keck Observatory, 2007).
  6. F. P. Wildi, G. Brusa, M. Lloyd-Hart, L. M. Close, and A. Riccardi, “First light of the 6.5 m MMT adaptive optics system,” Proc. SPIE 5169, 17–25 (2003). [CrossRef]
  7. M. A. Kenworthy, D. L. Miller, G. Brusa, P. M. Hinz, D. L. Fisher, M. Lloyd-Hart, F. P. Wildi, J. Donald W. McCarthy, D. L. Curley, C. Kulesa, P. A. Young, B. D. Oppenheimer, W. Liu, M. R. Meyer, and J. Greissl, “Scientific results from the MMT Natural Guide Star Adaptive Optics System,” Proc. SPIE 5490, 351–358 (2004). [CrossRef]
  8. G. Brusa, A. Riccardi, F. P. Wildi, M. Lloyd-Hart, H. M. Martin, R. Allen, D. L. Fisher, D. L. Miller, R. Biasi, D. Gallieni, and F. Zocchi, “MMT adaptive secondary: first AO closed-loop results,” Proc. SPIE 5169, 26–36 (2003). [CrossRef]
  9. K. Powell is preparing a manuscript to be called “Optimization of an adaptive optics wavefront controller in the presence of structural vibration.”
  10. F. Roddier, Adaptive Optics in Astronomy (Cambridge Univ. Press, 1999). [CrossRef]
  11. J. W. Hardy, Adaptive Optics for Astronomical Telescopes, Oxford Series in Optical and Imaging Sciences (Oxford Univ. Press, 1998).
  12. R. Dekany, A. Bouchez, M. Britton, V. Velur, M. Troy, J. C. Shelton, and J. Roberts, “PALM-3000: visible light AO on the 5.1-meter telescope,” Proc. SPIE 6272, 62720G (2006). [CrossRef]
  13. J. D. W. McCarthy, J. H. Burge, J. R. P. Angel, J. Ge, R. J. Sarlot, B. C. Fitz-Patrick, and J. L. Hinz, “ARIES: Arizona infrared imager and echelle spectrograph,” Proc. SPIE 3354, 750–754 (1998). [CrossRef]
  14. B. G. Korenev, Bessel Functions and Their Applications, Analytical Methods and Special Functions (Chapman & Hall/CRC, 2002).
  15. H.-H. Kuo, A. N. Sengupta, and P. Sundar, Infinite Dimensional Stochastic Analysis: In Honor of Hui-Hsiung Kuo, QP-PQ, Quantum Probability and White Noise Analysis (World Scientific, 2008).

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