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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 2 — Feb. 1, 2001
  • pp: 399–411

Improved compensation of turbulence-induced amplitude and phase distortions by means of multiple near-field phase adjustments

Jeffrey D. Barchers and Brent L. Ellerbroek  »View Author Affiliations


JOSA A, Vol. 18, Issue 2, pp. 399-411 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000399


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Abstract

An approach for compensation of turbulence-induced amplitude and phase distortions is described. Two deformable mirrors are placed optically conjugate to the collecting aperture and to a finite range from this aperture. Two control algorithms are presented. The first is a sequential generalized projection algorithm (SGPA) that is similar to the Gerchberg–Saxton phase retrieval algorithm. The second is a parallel generalized projection algorithm (PGPA) that introduces constraints that minimize the number of branch points in the control commands for the deformable mirrors. These approaches are compared with the approach of placing the second deformable mirror conjugate to the far field of the collecting aperture and using the Gerchberg–Saxton algorithm to determine the optimal mirror commands. Simulation results show that placing the second deformable mirror at a finite range can achieve near-unity Strehl ratio regardless of the strength of the scintillation induced by propagation through extended paths, while the maximum Strehl ratio of the far-field approach drops off with increasing scintillation. The feasibility of the solutions is evaluated by counting the branch points contained in the deformable mirror commands. There are large numbers of branch points contained in the control commands that are generated by the Gerchberg–Saxton SGPA-based algorithms, irrespective of where the second deformable mirror is located. However, the control commands generated by the PGPA with branch point constraints achieves excellent Strehl ratio and minimizes the number of branch points.

© 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
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

History
Original Manuscript: April 5, 2000
Revised Manuscript: July 7, 2000
Manuscript Accepted: July 7, 2000
Published: February 1, 2001

Citation
Jeffrey D. Barchers and Brent 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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-2-399


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References

  1. B. L. Ellerbroek, “First-order performance evaluation of adaptive-optics systems for atmospheric-turbulence com-pensation in extended-field-of-view astronomical telescopes,” J. Opt. Soc. Am. A 11, 783–805 (1994). [CrossRef]
  2. D. C. Johnston, B. M. Welsh, “Analysis of multiconjugate adaptive optics,” J. Opt. Soc. Am. A 11, 394–408 (1994). [CrossRef]
  3. T. Fusco, J.-M. Conan, V. Michau, L. M. Mugnier, G. Rousset, “Phase estimation for large field of view: application to multiconjugate adaptive optics,” in Propagation and Imaging through the Atmosphere III , M. C. Roggemann, Luc R. Bissonnette, eds., Proc. SPIE3763, 125–133 (1999). [CrossRef]
  4. Y. Baharev, J. Shamir, “Increase in the compensated field of view with a double conjugate adaptive-optics system,” Appl. Opt. 34, 2102–2110 (1995). [CrossRef]
  5. R. A. Gonsalves, “Compensation of scintillation with a phase-only adaptive optic,” Opt. Lett. 22, 588–590 (1997). [CrossRef] [PubMed]
  6. 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, 4577–4485 (1998). [CrossRef]
  7. 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, Luc R. Bissonnette, eds., Proc. SPIE3763, 29–40 (1999). [CrossRef]
  8. 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 Atmosphere III , M. C. Roggemann, Luc R. Bissonnette, eds., Proc. SPIE3763, 11–22 (1999). [CrossRef]
  9. D. Fried, “Branch point problem in adaptive optics,” J. Opt. Soc. Am. A 15, 2759–2768 (1998). [CrossRef]
  10. D. L. Fried, J. L. Vaughn, “Branch cuts in the phase function,” Appl. Opt. 31, 2865–2882 (1992). [CrossRef] [PubMed]
  11. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane images,” Optik 35, 225–246 (1972).
  12. 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]
  13. H. Stark, Y. Yang, D. Gurkan, “Factors affecting convergence in the design of diffractive optics by iterative vector-space methods,” J. Opt. Soc. Am. A 16, 149–159 (1999). [CrossRef]
  14. J. W. Goodman, Fourier Optics (McGraw-Hill, New York, 1968).
  15. H. T. Yura, “Physical model for strong optical-amplitude fluctuations in a turbulent medium,” J. Opt. Soc. Am. 64, 59–67 (1974). [CrossRef]
  16. R. J. Cook, “Fundamental notions in the theory of adaptive optics,” (unpublished lecture notes, available from Brent Ellerbroek, Gemini Observatory, 670 N. A’ohaku Place, Hilo, Hawaii 96720).
  17. 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]
  18. H. Stark, Y. Yang, Vector Space Projections (Wiley, New York, 1998).
  19. J. D. Barchers, B. L. Ellerbroek, “Improved compensation of turbulence induced amplitude and phase distortions by means of multiple near field phase adjustments,” (Starfire Optical Range, Kirtland Air Force Base, N.M., 2000).
  20. W.-X. Cong, N.-X. Chen, B.-Y. Gu, “Phase retrieval in the Fresnel transform system: a recursive algorithm,” J. Opt. Soc. Am. A 16, 1827–1830 (1999). [CrossRef]

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