Fast Fourier and Wavelet Transforms for Wavefront Reconstruction in Adaptive Optics.

Dowla, F. U. ; Brase, J. M. ; Olivier, S. S.

Technical Information Center Oak Ridge Tennessee

关键词: Fourier transform;    Wavefronts;    Adaptive optics;    Spatial filtering;    Optics;   

RP-ID  :  DE200515013193

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Wavefront reconstruction techniques using the least-squares estimators are computationally quite expensive. We compare wavelet and Fourier transforms techniques in addressing the computation issues of wavefront reconstruction in adaptive optics. It is shown that because the Fourier approach is not simply a numerical approximation technique unlike the wavelet method, the Fourier approach might have advantages in terms of numerical accuracy. However, strictly from a numerical cornputations viewpoint, the wavelet approximation method might have advantage in terms of speed. To optimize the wavelet method, a statistical study might be necessary to use the best basis functions or 'approximation tree.'