Filtered fractional Brownian motion as a model for atmospherically induced wavefront distortions

George J. M. Aitken; Delphine Rossille; Donald R. McGaughey

doi:10.1117/12.279028

23 September 1997 Filtered fractional Brownian motion as a model for atmospherically induced wavefront distortions

George J. M. Aitken, Delphine Rossille, Donald R. McGaughey

Proceedings Volume 3125, Propagation and Imaging through the Atmosphere; (1997) https://doi.org/10.1117/12.279028
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

Atmospherically-induced wavefront distortions that follow a Kolmogorov power spectral density has a spatial and temporal behaviour best described as a fractional Brownian motion (FBM) process. FBM is persistent and has a considerable degree of predictability, but its slopes are antipersistent and are not easily predicted by conventional means. However, previous measurements have shown that there is a exploitable degree of persistence and predictability in wavefront slopes. In this paper we describe how lowpass-filtered FBM can model the spectral, temporal and predictive properties of distorted wavefronts. Implications for closed-loop adaptive optics systems will be discussed.

Citation Download Citation

George J. M. Aitken, Delphine Rossille, and Donald R. McGaughey "Filtered fractional Brownian motion as a model for atmospherically induced wavefront distortions", Proc. SPIE 3125, Propagation and Imaging through the Atmosphere, (23 September 1997); https://doi.org/10.1117/12.279028

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