OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 12 — Dec. 1, 2001
  • pp: 3098–3109

Evaluation of the impact of finite-resolution effects on scintillation compensation using two deformable mirrors

Jeffrey D. Barchers  »View Author Affiliations


JOSA A, Vol. 18, Issue 12, pp. 3098-3109 (2001)
http://dx.doi.org/10.1364/JOSAA.18.003098


View Full Text Article

Enhanced HTML    Acrobat PDF (388 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The impact of finite-resolution deformable mirrors and wave-front sensors is evaluated as it applies to full-wave conjugation using two deformable mirrors. The first deformable mirror is fixed conjugate to the pupil, while the second deformable mirror is at a finite range. The control algorithm to determine the mirror commands for the two deformable mirrors is based on a modification of the sequential generalized projection algorithm. The modification of the algorithm allows the incorporation of Gaussian spatial filters into the optimization process to limit the spatial-frequency content applied to the two deformable mirrors. Simulation results are presented for imaging and energy projection scenarios that establish that the optimal spatial filter waist to be applied is equal to the subaperture side length in strong turbulence. The effect of varying the subaperture side length is examined, and it is found that to effect a significant degree of scintillation compensation, the subapertures, and corresponding spacing between actuators, must be much smaller than the coherence length of the input field.

© 2001 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation

History
Original Manuscript: December 1, 2000
Revised Manuscript: March 22, 2001
Manuscript Accepted: May 23, 2001
Published: December 1, 2001

Citation
Jeffrey D. Barchers, "Evaluation of the impact of finite-resolution effects on scintillation compensation using two deformable mirrors," J. Opt. Soc. Am. A 18, 3098-3109 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-12-3098


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. C. Roggemann, D. J. Lee, “A two deformable mirror concept for correcting scintillation effects in laser beam projection through the turbulent atmosphere,” Appl. Opt. 37, 4577–4585 (1998). [CrossRef]
  2. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane images,” Optik (Stuttgart) 35, 225–246 (1972).
  3. B. M. Welsh, M. C. Roggemann, G. L. Wilson, “Phase retrieval-based algorithms for far field beam steering and shaping,” in Propagation and Imaging through the Atmo-sphere III, M. C. Roggemann, L. R. Bissonnette, eds., Proc. SPIE3763, 11–22 (1999). [CrossRef]
  4. J. D. Barchers, B. L. Ellerbroek, “Improved compensation of turbulence-induced amplitude and phase distortions by means of multiple near-field phase adjustments,” J. Opt. Soc. Am. A 18, 399–411 (2001). [CrossRef]
  5. D. Fried, “Branch point problem in adaptive optics,” J. Opt. Soc. Am. A 15, 2759–2768 (1998). [CrossRef]
  6. D. L. Fried, J. L. Vaughn, “Branch cuts in the phase function,” Appl. Opt. 31, 2865–2882 (1992). [CrossRef] [PubMed]
  7. A. Levi, H. Stark, “Image restoration by the method of generalized projections with application to restoration from magnitude,” J. Opt. Soc. Am. A 1, 932–943 (1984). [CrossRef]
  8. T. Kotzer, J. Rosen, J. Shamir, “Application of serial and parallel projection methods to correlation filter design,” Appl. Opt. 34, 3883–3895 (1995). [CrossRef] [PubMed]
  9. M. C. Roggemann, S. Deng, “Scintillation compensation for laser beam projection using segmented deformable mirrors,” in Propagation and Imaging through the Atmosphere III, M. C. Roggemann, L. R. Bissonette, eds., Proc. SPIE3763, 29–40 (1999). [CrossRef]
  10. J. W. Goodman, Fourier Optics (McGraw-Hill, New York, 1968).
  11. H. T. Yura, “Physical model for strong optical-amplitude fluctuations in a turbulent medium,” J. Opt. Soc. Am. 64, 59–67 (1974). [CrossRef]
  12. R. J. Cook, “Fundamental notions in the theory of adaptive optics” (unpublished lecture notes, 1975), available from Brent L. Ellerbroek, Gemini Observatory, 670 North A’ohaku Place, Hilo, Hawaii 96720.
  13. H. Stark, Y. Yang, Vector Space Projections (Wiley, New York, 1998).
  14. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375–379 (1977). [CrossRef]
  15. S. F. Clifford, G. R. Ochs, R. S. Lawrence, “Saturation of optical scintillation by strong turbulence,” J. Opt. Soc. Am. 64, 148–154 (1974). [CrossRef]
  16. D. Malacara, Optical Shop Testing (Wiley, New York, 1992).

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