OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 25 — Dec. 3, 2012
  • pp: 27922–27932

An innovative and efficient method to control the shape of push-pull membrane deformable mirror

A. Polo, A. Haber, S. F. Pereira, M. Verhaegen, and H. P. Urbach  »View Author Affiliations

Optics Express, Vol. 20, Issue 25, pp. 27922-27932 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (3086 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We carry out performance characterisation of a commercial push and pull deformable mirror with 48 actuators (Adaptica Srl). We present a detailed description of the system as well as a statistical approach on the identification of the mirror influence function. A new efficient control algorithm to induce the desired wavefront shape is also developed and comparison with other control algorithms present in literature has been made to prove the efficiency of the new approach.

© 2012 OSA

OCIS Codes
(220.1000) Optical design and fabrication : Aberration compensation
(230.3990) Optical devices : Micro-optical devices
(350.4600) Other areas of optics : Optical engineering
(150.5495) Machine vision : Process monitoring and control
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Adaptive Optics

Original Manuscript: September 6, 2012
Revised Manuscript: October 4, 2012
Manuscript Accepted: October 4, 2012
Published: November 30, 2012

A. Polo, A. Haber, S. F. Pereira, M. Verhaegen, and H. P. Urbach, "An innovative and efficient method to control the shape of push-pull membrane deformable mirror," Opt. Express 20, 27922-27932 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. N. Hubin and L. Noethe, “Active optics, adaptive optics, and laser guide stars,” Science262, 1390–1394 (1993). [CrossRef] [PubMed]
  2. M. Rueckel, J. Mack-Bucher, and W. Denk, “Adaptive wavefront correction in two-photon microscopy using coherence-gated wavefront sensing.” Proc. Nat. Acad. Sci.103, 17137–17142 (2006). [CrossRef] [PubMed]
  3. E. Rossi, M. Chung, J. J. Hunter, W. H. Merigan, and D. R. Williams, “Imaging retinal mosaics in the living eye.” Eye (London, England)25, 301–308 (2011). [CrossRef]
  4. R. K. Tyson, Adaptive Optics Engineering Handbook (CRC Press, 1999). [CrossRef]
  5. N. Ishii, T. Muroi, N. Kinoshita, K. Kamijo, and N. Shimidzu, “Wavefront compensation method using novel index in holographic data storage,” J. Europ. Opt. Soc. Rap. Public.5, 10036 (2010). [CrossRef]
  6. A. Polo, V. Kutchoukov, F. Bociort, S. F. Pereira, and H. P. Urbach, “Determination of wavefront structure for a Hartmann wavefront sensor using a phase-retrieval method,” Opt. Express20, 237–246 (2012). [CrossRef]
  7. F. Staals, A. Andryzhyieuskaya, H. Bakker, M. Beems, J. Finders, T. Hollink, J. Mulkens, A. Nachtwein, R. Willekers, P. Engblom, T. Gruner, and Y. Zhang, “Advanced wavefront engineering for improved imaging and overlay applications on a 1.35 NA immersion scanner,” Proc. SPIE7973, 79731G–13 (2011).
  8. G. Vdovin and P. M. Sarro, “Flexible mirror micromachined in silicon.” Appl. Opt.34, 2968–2972 (1995). [CrossRef] [PubMed]
  9. E. Steinhaus and S. G. Lipson, “Bimorph piezoelectric flexible mirror,” J. Opt. Soc. Am.69, 478–481 (1979). [CrossRef]
  10. J. García-Márquez, J. E. A. Landgrave, N. Alcalá-Ochoa, and C. Pérez-Santos, “Recursive wavefront aberration correction method for LCoS spatial light modulators,” Opt. Lasers Eng.49, 743–748 (2011). [CrossRef]
  11. G. D. Love, “Wave-front correction and production of Zernike modes with a liquid-crystal spatial light modulator,” Appl. Opt.36, 1517–1520 (1997). [CrossRef] [PubMed]
  12. S. Bonora and L. Poletto, “Push-pull membrane mirrors for adaptive optics.” Opt. Express14, 11935–11944 (2006). [CrossRef] [PubMed]
  13. E. Fernandez and P. Artal, “Membrane deformable mirror for adaptive optics: performance limits in visual optics.” Opt. Express11, 1056–1069 (2003). [CrossRef] [PubMed]
  14. L. Zhu, P. C. Sun, D. U. Bartsch, W. R. Freeman, and Y. Fainman, “Wave-front generation of Zernike polynomial modes with a micromachined membrane deformable mirror.” Appl. Opt.38, 6019–6026 (1999). [CrossRef]
  15. E. S. Claflin and N. Bareket, “Configuring an electrostatic membrane mirror by least-squares fitting with analytically derived influence functions,” J. Opt. Soc. Am. A3, 1833–1839 (1986). [CrossRef]
  16. Adaptica Srl, “Saturn user manual,” http://www.adaptica.com/site/en/pages/saturn .
  17. C. Paterson, I. Munro, and J. C. Dainty, “A low cost adaptive optics system using a membrane mirror,” Opt. Express6, 175–185 (2000). [CrossRef] [PubMed]
  18. L. Jolissaint, “Synthetic modeling of astronomical closed loop adaptive optics,” J. Europ. Opt. Soc. Rap. Public.5, 10055 (2010). [CrossRef]
  19. D. Malacara and W. T. Welford, Optical Shop Testing (John Wiley Sons, Inc., 2006).
  20. A. Haber, R. Fraanje, and M. Verhaegen, “Linear computational complexity robust ilc for lifted systems,” Automatica48, 1102–1110 (2012). [CrossRef]
  21. D. A. Bristow, M. Tharayil, and A. G. Alleyne, “A survey of iterative learning control,” IEEE Control Systems26, 96–114 (2006). [CrossRef]
  22. M. Verhaegen and V. Verdult,, Filtering and System Identification: A Least Square Approach (Cambridge University Press, New York, NY, USA, 2007). [CrossRef]
  23. I. G. Hughes and T. P. A. Hase, Measurements and Their Uncertainties: A Practical Guide to Modern Error Analysis (Oxford University Press, New York, NY, USA, 2011).
  24. F. Roddier, Adaptive Optics in Astronomy (Cambridge University Press, 1999). [CrossRef]
  25. G. Brusa-Zappellini, A. Riccardi, V. Biliotti, C. Del Vecchio, P. Salinari, P. Stefanini, P. Mantegazza, R. Biasi, M. Andrighettoni, C. Franchini, and D. Gallieni, “Adaptive secondary mirror for the 6.5-m conversion of the multiple mirror telescope: first laboratory testing results,” Proc. SPIE3726, 38–49 (1999). [CrossRef]

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