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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. 19, Iss. 9 — Sep. 1, 2002
  • pp: 1779–1793

Optimal control of laser beams for propagation through a turbulent medium

Jeffrey D. Barchers and David L. Fried  »View Author Affiliations


JOSA A, Vol. 19, Issue 9, pp. 1779-1793 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001779


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Abstract

Concerning the problem of transmitting a laser beam from one telescope to another telescope through a turbulent medium, it is established that using an adaptive optical system on both telescopes to precompensate an outgoing laser beam based on the aberrations measured on the received laser beam leads to an iteration that maximizes the transmission (neglecting attenuation losses) of laser power between the telescopes. Simulation results are presented demonstrating the effectiveness of this technique when the telescopes are equipped with either phase-only or full-wave compensation systems. Simulation results are shown that indicate that for a uniform distribution of the strength of turbulence, 95% transmission of laser power is attained when both telescopes can achieve full-wave compensation provided that the aperture diameter <i>D</i> of the two telescopes is greater than twice the Fresnel length √λ<i>L</i>, where λ is the wavelength of propagation and <i>L</i> is the distance between the two telescopes.

© 2002 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

Citation
Jeffrey D. Barchers and David L. Fried, "Optimal control of laser beams for propagation through a turbulent medium," J. Opt. Soc. Am. A 19, 1779-1793 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-9-1779


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References

  1. B. M. Levine, E. A. Martinsen, A. Wirth, A. Jankevics, M. Toledo-Quinones, and F. Landers, “Horizontal line-of-sight turbulence over near-ground paths and implications for adaptive optics corrections in laser communications,” Appl. Opt. 37, 4553–4560 (1998).
  2. M. C. Roggemann and D. J. Lee, “A two deformable mirror concept for correcting scintillation effects in laser beam pro-jection through the turbulent atmosphere,” Appl. Opt. 37, 4577–4585 (1998).
  3. J. D. Barchers and 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).
  4. J. 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).
  5. J. D. Barchers, “Application of the parallel generalized projection algorithm to the control of two finite resolution deformable mirrors for scintillation compensation,” J. Opt. Soc. Am. A 19, 54–63 (2002).
  6. J. D. Barchers and B. L. Ellerbroek, “Increase in the compensated field of view in strong scintillation by use of two deformable mirrors,” in Beyond Conventional Adaptive Optics, R. Ragazonni, ed. (Astronomical Observatory and Department of Astronomy, Padova, Italy, 2001). Available online at http://www.adaopt.it/venice2001/proceedings/pdf/barchers_pap.pdf, 2001.
  7. J. D. Barchers, “Closed loop stable control of two deformable mirrors for compensation of amplitude and phase fluctuations,” J. Opt. Soc. Am. A 19, 926–945 (2002).
  8. R. H. Dicke, “Phase-contrast detection of telescope seeing error and their correction,” Astrophys. J. 198, 605–615 (1975).
  9. J. M. Beckers, “Detailed compensation of atmospheric seeing using multiconjugate adaptive optics,” in Active Telescope Systems, F. J. Roddier, ed., Proc. SPIE 1114, 215–217 (1989).
  10. B. L. Ellerbroek, “First-order performance evaluation of adaptive-optics systems for atmospheric-turbulence compensation in extended-field-of-view astronomical telescopes,” J. Opt. Soc. Am. A 11, 783–805 (1994).
  11. D. C. Johnston and B. M. Welsh, “Analysis of multiconjugate adaptive optics,” J. Opt. Soc. Am. A 11, 394–408 (1994).
  12. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane images,” Optik (Stuttgart) 35, 225–246 (1972).
  13. H. Stark and Y. Yang, Vector Space Projections (Wiley, New York, 1998).
  14. A. Levi and 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).
  15. A convex set C is one in which, given any two points within said convex set, every point on the line connecting the two points is also contained in the set, i.e., ∀x1, x2 ∈C, αx1 +(1−α)x2 ∈C, ∀α∈[0, 1]. As an example, the set describing the unit ball in a Hilbert space, C ={x∈H | |x|≤1}, is a convex set, whereas the set describing the boundary of the unit ball in a Hilbert space, C ={x∈H | |x|=1}, is nonconvex.
  16. J. Von Neumann, Functional Operators, Vol. II of Annals of Mathematics Studies (Princeton U. Press, Princeton, N.J., 1950.
  17. L. G. Gubin, B. T. Polyak, and E. V. Raik, “The method of projections for finding the common point in convex sets,” USSR Comput. Math. Math. Phys. 7, 1–24 (1967).
  18. D. C. Youla and H. Webb, “Image restoration by the method of convex projections: Part 1—theory,” IEEE Trans. Med. Imaging MI-1, 81–94 (1982).
  19. T. Kotzer, J. Rosen, and J. Shamir, “Application of serial and parallel projection methods to correlation filter design,” Appl. Opt. 34, 3883–3895 (1995).
  20. D. L. Fried, “Scaling laws for propagation through turbulence,” Atmos. Oceanic Opt. 11, 982–990 (1998).
  21. R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence (Springer-Verlag, Berlin, 1994).
  22. T. R. O’Meara, “The multi-dither principle in adaptive optics,” J. Opt. Soc. Am. 67, 306–315 (1977).
  23. M. A. Vorontsov, G. Carhart, J. W. Gowens III, and J. C. Ricklin, “Adaptive correction of wavefront phase distortions for beam position stabilization and improved focusing in a duplex laser communication link,” U.S. patent pending.
  24. M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel gradient descent technique for high-resolution wavefront phase distortion correction,” J. Opt. Soc. Am. A 15, 2745–2758 (1998).
  25. J. D. Barchers, “Convergence rates for iterative vector space projection methods for control of two deformable mirrors for compensation of both amplitude and phase fluctuations,” Appl. Opt. 41, 2213–2218 (2002).

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