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Proceedings Paper

Representation of Karhunen-Loeve-Obukhov functions based on Walsh and Haar
Author(s): Yusup N. Isaev; Viktor A. Banakh; Elena V. Zakharova
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Paper Abstract

Authors obtained the analytical relations allowing one to realize a transformation in expansions of optical wave phase from the Haar and Walsh bases, which are characterized by a simplicity of engineering realization in compensating devices of adaptive optics systems (AOS), to the statistically optimal Karhunen-Loeve-Obukhov basis describing the most completely and accurately the criteria of AOS approximation to ideal diffraction-limited system. The relations obtained and use of the fast Walsh and Haar transform algorithms allow one to approach the real time in wavefront reconstruction. Moreover, the analytical relations obtained allows an influence of the outer scale of turbulence to be taken into account. Results of numerical calculations of the transformation matrix are presented.

Paper Details

Date Published: 17 October 1997
PDF: 8 pages
Proc. SPIE 3126, Adaptive Optics and Applications, (17 October 1997); doi: 10.1117/12.290167
Show Author Affiliations
Yusup N. Isaev, Institute of Atmospheric Optics (Russia)
Viktor A. Banakh, Institute of Atmospheric Optics (Russia)
Elena V. Zakharova, Institute of Atmospheric Optics (Russia)


Published in SPIE Proceedings Vol. 3126:
Adaptive Optics and Applications
Robert K. Tyson; Robert Q. Fugate, Editor(s)

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