2019
DOI: 10.1093/mnras/stz3237
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The minimum of the time-delay wavefront error in Adaptive Optics

Abstract: 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 Kármán 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 usedintegrator controller. Alternati… Show more

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Cited by 5 publications
(3 citation statements)
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“…The modest improvement is aligned with the results from Doelman (2019). 31 Operating at 1kHz, the turbulence moves less than 1 sub-aperture each frame. Hence, it is more relevant to think of each sub-aperture as a time series than to consider the spatial correlations between sub-apertures as done using Frozen Flow Hypothesis.…”
Section: Daytime Testingmentioning
confidence: 99%
“…The modest improvement is aligned with the results from Doelman (2019). 31 Operating at 1kHz, the turbulence moves less than 1 sub-aperture each frame. Hence, it is more relevant to think of each sub-aperture as a time series than to consider the spatial correlations between sub-apertures as done using Frozen Flow Hypothesis.…”
Section: Daytime Testingmentioning
confidence: 99%
“…8. The contrast of an optimal predictive controller will also depend on the wind speed in the same way although with a lower constant of proportionality, 43 which is why the contrast starts to degrade at higher wind speeds. At lower wind speed (<15 ms −1 ), the DDSPC stays very close to the perfect controller.…”
Section: Stationary Turbulencementioning
confidence: 99%
“…The residual contrast of the integrator follows this proportionality, as can be seen in Figure 8. The contrast of an optimal predictive controller will also depend on the wind speed in the same way although with a lower constant of proportionality [43], which is why the contrast starts to degrade at higher wind speeds. At lower wind speed (< 15ms −1 ), the DDSPC stays very close to the perfect controller.…”
Section: Stationary Turbulencementioning
confidence: 99%