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Aiming at drawbacks of slow convergence rate and easy to fall into local optima in current control algorithms of wavefront sensorless (WFSless) adaptive optics (AO), this paper proposes a moment estimation optimization algorithm based on stochastic parallel gradient descent (SPGD) algorithm. This algorithm extracts the gradient descent term in the SPGD algorithm and applies exponentially weighted moving average (EWMA) on the gradient descent term and the square of the gradient descent term respectively: the former is used as a new gradient descent term in the SPGD algorithm to speed up the convergence rate while the latter constrains the stride to improve the correction accuracy. Numerical simulations indicate that under different turbulence strengths, proposed method can approximately reach the correction effect of diffraction limit while acquire faster convergence rate and higher correction accuracy than SPGD.
Xuejing Qiu andBing Xu
"A new approach of wavefront sensorless adaptive optics based on moment estimation", Proc. SPIE 11617, International Conference on Optoelectronic and Microelectronic Technology and Application, 1161729 (4 December 2020); https://doi.org/10.1117/12.2585282
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Xuejing Qiu, Bing Xu, "A new approach of wavefront sensorless adaptive optics based on moment estimation," Proc. SPIE 11617, International Conference on Optoelectronic and Microelectronic Technology and Application, 1161729 (4 December 2020); https://doi.org/10.1117/12.2585282