OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 51, Iss. 12 — Apr. 20, 2012
  • pp: 2155–2163

Characterization and closed-loop performance of a liquid mirror adaptive optical system

Eric S. ten Have and Gleb Vdovin  »View Author Affiliations


Applied Optics, Vol. 51, Issue 12, pp. 2155-2163 (2012)
http://dx.doi.org/10.1364/AO.51.002155


View Full Text Article

Enhanced HTML    Acrobat PDF (5084 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A deformable mirror based on the principle of total internal reflection of light from an electrostatically deformed liquid–air interface was realized and used to perform closed-loop adaptive optical (AO) correction on a collimated laser beam aberrated by a rotating phase disk. Equations describing the resonant and oscillatory behavior of the liquid system were obtained and applied to the system under consideration. Characterization of the mirror included open- and closed-loop frequency responses, determination of rise times, the damping times of the liquid, and the influence of liquid surface motion in the absence of external optical aberrations. The performance of the AO system was determined for static and dynamic aberrations for various sets of system parameters. The predictions of the general expressions were compared to the results of the experimental realization and were found to be in good agreement.

© 2012 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: December 22, 2011
Revised Manuscript: February 9, 2012
Manuscript Accepted: February 10, 2012
Published: April 20, 2012

Citation
Eric S. ten Have and Gleb Vdovin, "Characterization and closed-loop performance of a liquid mirror adaptive optical system," Appl. Opt. 51, 2155-2163 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-12-2155


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. W. Wood, “The mercury paraboloid as a reflecting telescope,” Astrophys. J. 29, 164–176 (1909). [CrossRef]
  2. E. F. Borra, M. Beauchemin, and R. Lalande, “Liquid mirror telescopes: observations with a 1 meter diameter prototype and scaling-up considerations,” Astrophys. J. 297, 846–851 (1985). [CrossRef]
  3. P. Hickson, E. F. Borra, R. Cabanac, R. Content, B. K. Gibson, and G. A. H. Walker, “UBC/Laval 2.7 meter liquid mirror telescope,” Astrophys. J. 436, L201–L204 (1994). [CrossRef]
  4. D. Brousseau, E. F. Borra, M. Rochette, and D. B. Landry, “Linearization of the response of a 91-actuator magnetic liquid deformable mirror,” Opt. Express 18, 8239–8250 (2010). [CrossRef]
  5. G. Vdovin, “Closed-loop adaptive optical system with a liquid mirror,” Opt. Lett. 34, 524–526 (2009). [CrossRef]
  6. R. A. Ibrahim, Liquid Sloshing Dynamics, Theory and Applications (Cambridge University, 2005).
  7. H. F. Bauer, “Tables of zeros of cross product Bessel functions,” J. Math. Comput. 18, 128–135 (1964).
  8. L. Landau and E. Lifshitz, Fluid Mechanics, 2nd ed., Vol. 6 of Course of Theoretical Physics (Butterworth Heinemann, 2009).
  9. J. Dong, J. Qi, and R. Miao, “Measurement of the damping of liquid surface wave by diffraction method,” Braz. J. Phys. 37, 1129–1133 (2007). [CrossRef]
  10. J. Miles, “Surface-wave damping in closed basins,” Proc. R. Soc. Lond. A 297, 459–475 (1967). [CrossRef]
  11. C. Mei and L. Liu, “The damping of surface gravity waves in a bounded liquid,” J. Fluid. Mech. 59, 239–256 (1973). [CrossRef]
  12. H. Lamb, Hydrodynamics,6th ed. (Cambridge University, 1975).
  13. J. J. DiStefano, A. R. Stubberud, and I. J. Williams, Outline of Theory and Problems of Feedback and Control Systems, 2nd ed., Schaum’s Outline Series (McGraw-Hill, 1990).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited