Improvements in Solar Adaptive Optics Correction using Short-time Turbulence Forecasting

Physics

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Scientific paper

Time delay error and integration time effects play a crucial role in Solar Adaptive Optics systems.
By using a multi-layer turbulence simulation we studied temporal variations of atmospheric turbulence. We simulated Shack-Hartmann wavefront sensing with Zernike and Kharunen-Loeve modal expansions too.
These two sets of polynomial basis have been defined over an annular pupil with a large central obscurament, which is a common feature in Ritchey-Chretien optical configuration.
We found that Karhunen-Loeve functions, defined using principal component analisys methods as a linear combination of Zernike modes, represent the best choice for wavefront reconstruction, giving us the possibility of reducing fitting error with respect to Zernike modal expansion.
Finally, we tested the possibility to use auto-regressive moving average time series models to provide short time forecasting for Zernike or Karhunen-Loeve coefficients. This scheme may be very helpful in improving correction bandwidth and overcoming time delay errors in next generation solar Adaptive Optics systems.
These preliminary results could be particularly important in developing and studying design and performance for next European Solar Telescope.

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