Restoration of turbulence-degraded extended
object using the stochastic parallel gradient
descent algorithm: numerical simulation

doi:10.1364/OE.17.003052

Optics Express

Editor: C. Martijn de Sterke
Vol. 17, Iss. 5 — Mar. 2, 2009
pp: 3052–3062

Restoration of turbulence-degraded extended object using the stochastic parallel gradient descent algorithm: numerical simulation

Huizhen Yang, Xinyang Li, Chenglong Gong, and Wenhan Jiang »View Author Affiliations

Optics Express, Vol. 17, Issue 5, pp. 3052-3062 (2009)
http://dx.doi.org/10.1364/OE.17.003052

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Abstract
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Abstract

An adaptive optics (AO) system with Stochastic Parallel Gradient Descent (SPGD) algorithm and a 61-element deformable mirror is simulated to restore the image of a turbulence-degraded extended object. SPGD is used to search the optimum voltages for the actuators of the deformable mirror. We try to find a convenient image performance metric, which is needed by SPGD, merely from a gray level distorted image and without any additional optics elements. Simulation results show the gray level variance function acts more promising than other metrics, such as metrics based on the gray level gradient of each pixel. The restoration capability of the AO system is investigated with different images and different turbulence strength wave-front aberrations using SPGD with the above resultant image quality criterion. Numerical simulation results verify the performance metric is effective and the AO system can restore those images degraded by different turbulence strengths successfully.

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(110.0110) Imaging systems : Imaging systems
(350.4600) Other areas of optics : Optical engineering

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: November 3, 2008
Revised Manuscript: January 4, 2009
Manuscript Accepted: January 21, 2009
Published: February 17, 2009

Citation
Huizhen Yang, Xinyang Li, Chenglong Gong, and Wenhan Jiang, "Restoration of turbulence-degraded extended object using the stochastic parallel gradient descent algorithm: numerical simulation," Opt. Express 17, 3052-3062 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-5-3052

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References

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R. A. Muller and A. Buffington, "Real-time correction of atmospherically degraded telescope images through image sharpening," J. Opt. Am. A. 64, 1200 -1210 (1974). [CrossRef]
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M. A. Vorontsov and G. W. Carhart, "Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration," J. Opt. Soc. Am. A. 17, 1440 -1453 (2000) [CrossRef]
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W. H. Jiang, N. Ling, X. J. Rao, and F. Shi. "Fitting capability of deformable mirror," Proc. SPIE 1542, 130 -137 (1991). [CrossRef]
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Comput. Phys. Commun.

M. S. Zakynthinaki and Y. G. Saridakis, "Stochastic optimization for a tip-tilt adaptive correcting system," Comput. Phys. Commun. 150, 274 -292 (2003) [CrossRef]

IEEE Trans. Autom. Control.

J. C. Spall, "Multivariate stochastic approximation using a simultaneous perturbation gradient approximation," IEEE Trans. Autom. Control. 37, 332 -341 (1992). [CrossRef]

J. Opt. Am. A.

R. A. Muller and A. Buffington, "Real-time correction of atmospherically degraded telescope images through image sharpening," J. Opt. Am. A. 64, 1200 -1210 (1974). [CrossRef]

J. Opt. Soc. Am. A.

M. A. Vorontsov and G. W. Carhart, "Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration," J. Opt. Soc. Am. A. 17, 1440 -1453 (2000) [CrossRef]

Opt. Eng.

N. Roddier, "Atmospheric wavefront simulation using Zernike polynomials," Opt. Eng. 29, 1174 -1180 (1990). [CrossRef]

Opt. Express

P. Yang, M. W. Ao, Y. Li, B. Xu, and W. H. Jiang, "Intracavity transverse modes controlled by a genetic algorithm based on Zernike mode coefficients," Opt. Express 15, 17051-17062 (2007). [CrossRef] [PubMed]

Opt. Lett.

S. Zommer, E. N. Ribak, S. G. Lipson and J. Adler, "Simulated annealing in ocular adaptive optics," Opt. Lett. 31, 1-3 (2000).

SPIE

W. H. Jiang, N. Ling, X. J. Rao, and F. Shi. "Fitting capability of deformable mirror," Proc. SPIE 1542, 130 -137 (1991). [CrossRef]

Other

J. W. Goodman. Introduction to Fourier Optics (Publishing House of Electronics Industry, 2006).
R. K. Tyson, Principle of Adaptive Optics (Academic Press, 1991).

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