Wavelet-based wavefront control: wavelet phase determination and adaptive wavelet distortion cancellation

Katherine J. Jones

doi:10.1117/12.677676

29 August 2006 Wavelet-based wavefront control: wavelet phase determination and adaptive wavelet distortion cancellation

Katherine J. Jones

Author Affiliations +

Proceedings Volume 6306, Advanced Wavefront Control: Methods, Devices, and Applications IV; 63060L (2006) https://doi.org/10.1117/12.677676
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

High-resolution and large-range wavefront aberration sensing and analysis present the principal challenges to wavefront control. Innovative alternatives to present wavefront sensing approaches are necessary to address these challenges. Wavelet-Based Wavefront Control is being developed to sense wavefront aberration using wavelet-based phase determination and to cancel phase distortion by means of adaptive wavelet echo cancellation. This approach has the potential of overcoming many hardware limitations while increasing sensitivity to wavefront distortion. Wavefront sensing of a distorted beam is achieved by an interferometer generating an interferogram. The phase properties of the Morlet wavelet transform are used to compute the phase of the 1-D signal taken from the 2-D interferogram. Assembled corrected 1-D signals can then be assembled as a corrected 2-D wavefront. For distortion cancellation, the phase determined above has two parts: signal and distortion. The signal needs to be reproduced while suppressing the distortion in a manner analogous to echo cancellation. The distorted signal can be decomposed into high and low subbands. High frequencies will be applied to cancel random noise in the distorted signal. Distorted fringes are broadened. Further subband decompositions will be carried out and a series of thresholds applied to produce the corrected 1-D signal.

Citation Download Citation

Katherine J. Jones "Wavelet-based wavefront control: wavelet phase determination and adaptive wavelet distortion cancellation", Proc. SPIE 6306, Advanced Wavefront Control: Methods, Devices, and Applications IV, 63060L (29 August 2006); https://doi.org/10.1117/12.677676

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KEYWORDS

Wavelets

Wavefronts

Distortion

Digital filtering

Wavefront sensors

Electronic filtering

Adaptive optics

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