http://arxiv.org/abs/1906.03128
An analytical expression is given for the minimum of the mean square of the time-delay induced wavefront error (also known as the servo-lag error) in Adaptive Optics systems. The analysis is based on the von K\’arm\’an model for the spectral density of refractive index fluctuations and the hypothesis of frozen flow. An optimal, temporal predictor can achieve up to a factor 1.77 more reduction of the wavefront phase variance, compared to the — for Adaptive Optics systems commonly used — integrator controller. Alternatively, an optimal predictor can allow for a 1.41 times longer time-delay to arrive at the same residual phase variance as the integrator. In general, the performance of the optimal, temporal predictor depends on the product of time-delay, wind speed and the reciprocal of outer scale.
N. Doelman
Mon, 10 Jun 19
1/38
Comments: 8 pages, 6 figures