Abstract

Predictive Fourier control is a temporal power spectral density–based adaptive method for adaptive optics that predicts the atmosphere under the assumption of frozen flow. The predictive controller is based on Kalman filtering and a Fourier decomposition of atmospheric turbulence using the Fourier transform reconstructor. It provides a stable way to compensate for arbitrary numbers of atmospheric layers. For each Fourier mode, efficient and accurate algorithms estimate the necessary atmospheric parameters from closed-loop telemetry and determine the predictive filter, adjusting as conditions change. This prediction improves atmospheric rejection, leading to significant improvements in system performance. For a $48\times 48$ actuator system operating at $2\mathrm{kHz}$, five-layer prediction for all modes is achievable in under $2\times {10}^9$ floating-point operations/s.

© 2007 Optical Society of America

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