Zheng-han LI. Performance of predictive correction for adaptive optics systems with frozen flow turbulence[J]. Optics and precision engineering, 2018, 26(3): 548-555.
DOI:
Zheng-han LI. Performance of predictive correction for adaptive optics systems with frozen flow turbulence[J]. Optics and precision engineering, 2018, 26(3): 548-555. DOI: 10.3788/OPE.20182603.0548.
Performance of predictive correction for adaptive optics systems with frozen flow turbulence
Accurate prediction of the atmospheric turbulence evolution in the next few sampling cycles can compensate for the time delay in the control systems of adaptive optics (AO) systems. In this paper
a predictive correction method in AO systems is proposed
and its robustness is analyzed. Under the frozen-flow assumption
the translational motion can be identified using the slope measurements of a Shack-Hartmann wavefront sensor (SHWS) in AO systems. Using the transverse wind information
prediction of the future slope can be achieved by Fourier translation. The shape of the deformable mirror (DM) can be calculated by the direct-gradient wavefront reconstruction algorithm. The aberrated wavefront is corrected by the DM. With a known transverse wind
the proposed predictive correction can provide a perfect compensation for the decline of the dynamic performance caused by delays in the control system. With estimated wind parameters
improvement of the correction efficiency can be obtained as long as the wind-velocity estimation error is less than the velocity itself
while the wind direction is estimated accurately
or the direction error is less than 60° while the wind speed is estimated accurately. With a simultaneous wind-velocity and direction error
the correction efficiency can still be improved within a large error range.
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references
HARDY J W. Adaptive Optics for Astronomical Telescopes[M]. New York:Oxford University Press, 1998.
LI X Y, JIANG W H. Analysis of the residual servo variance for an adaptive optics system[J]. Acta Optica Sinica, 2000, 20(10):1328-1334. (in Chinese)
KULCSÁR C, RAYNAUD H F, PETIT C, et al.. Minimum variance prediction and control for adaptive optics[J]. Automatica, 2012, 48(9):1939-1954.
POYNEER L, VÉRAN J P. Predictive wavefront control for adaptive optics with arbitrary control loop delays[J]. Journal of the Optical Society of America A, 2008, 25(7):1486-1496.
AITKEN G J M, JORGENSON M B. Wavefront prediction from adaptive astronomical telescopes[J]. Journal of the Royal Astronomical Society of Canada, 1992, 86(6):288.
JORGENSON M B, AITKEN G J M. Prediction of atmospherically induced wave-front degradations[J]. Optics Letters, 1992, 17(7):466-468.
AITKEN G J M, JORGENSON M B. Neural-network wavefront predictors for adaptive optics[J]. Journal of the Royal Astronomical Society of Canada, 1994, 88(4):255-256.
SHI X Y, FENG Y, CHEN Y, et al.. Predicting control voltages of deformable mirror in adaptive optical system[J]. High Power Laser and Particle Beams, 2012, 24(6):1281-1286. (in Chinese)
YAN ZH J, LI X Y. Neural network prediction algorithm for control voltage of deformable mirror in adaptive optical system[J]. Acta Optica Sinica, 2010, 30(4):911-916. (in Chinese)
PAGE K A, SCHÖCK M. Analysis of atmospheric turbulence with applications to linear predictions[C]. Proceedings of European Southern Observatory 2002 ESO Conference and Workshop Proceedings, ESO, 2002.
YAN ZH J, LI X Y, RAO CH H. Numerical simulation of a prediction control algorithm for close-loop adaptive optical system[J]. Acta Optica Sinica, 2011, 31(1):0101003. (in Chinese)
YAN ZH J, LI X Y, RAO CH H. Multi-channel adaptive control algorithm for closed-loop adaptive optics system[J]. Acta Optica Sinica, 2013, 33(3):0301002. (in Chinese)
WEI P F, LIN X D, WANG L, et al.. Simultaneous measurement of atmospheric coherence length[J]. Opt. Precision Eng., 2016, 24(8):1840-1845. (in Chinese)
SCHÖCK M, SPILLAR E J. Method for a quantitative investigation of the frozen flow hypothesis[J]. Journal of the Optical Society of America A, 2000, 17(9):1650-1658.
POYNEER L, VAN DAM M, VÉRAN J P. Experimental verification of the frozen flow atmospheric turbulence assumption with use of astronomical adaptive optics telemetry[J]. Journal of the Optical Society of America A, 2009, 26(4):833-846.
LI X Y, WANG CH H, XIAN H, et al.. Control effect analysis for a direct gradient wavefront reconstruction algorithm[J]. Opto-Electronic Engineering, 1998, 25(6):9-14. (in Chinese)
GENDRON E, LÉNA P. Single layer atmospheric turbulence demonstrated by adaptive optics observations[J]. Astrophysics and Space Science, 1996, 239(2):221-228.
KERN B, LAURENCE T A, MARTIN C, et al.. Temporal coherence of individual turbulent patterns in atmospheric seeing[J]. Applied Optics, 2000, 39(27):4879-4885.
CACCIA J L, AZOUIT M, VERNIN J. Wind and C 2 N profiling by single-star scintillation analysis[J]. Applied Optics, 1987, 26(7):1288-1294.
GENTRY B M, CHEN H L, LI S X. Wind measurements with 355-nm molecular Doppler lidar[J]. Optics Letters, 2000, 25(17):1231-1233.
OYA S, TAKABE M, ARUGA T. Application of an exclusively binarized correlation-calculation method to wind velocity measurement by use of stellar scintillation patterns[J]. Applied Optics, 2001, 40(24):4041-4049.
SCHÖCK M, SPILLAR E J. Measuring wind speeds and turbulence with a wavefront sensor[J]. Optics Letters, 1998, 23(3):150-152.
JOHNSON L C, GAVEL D T, WIBERG D M. Bulk wind estimation and prediction for adaptive optics control systems[J]. Journal of the Optical Society of America A, 2011, 28(8):1566-1577.
YUAN K E, ZHU W Y, HUANG Y B, et al.. Measurement of path-averaged transverse wind speed with a Shack-Hartmann wave-front sensor[J]. Acta Optica Sinica, 2009, 29(2):303-307. (in Chinese)