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Adaptive optics compensation for propagation through deep turbulence: initial investigation of gradient descent tomography

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Abstract

To implement adaptive optics compensation for propagation through deep turbulence, the concept of gradient descent tomography has been developed. Here two or more deformable mirrors are controlled by an efficient iterative algorithm that optimizes the integral I2 image-sharpening metric. In this work a difficult case involving imaging over a 2km path with a Cn2 of 2×1013m23 is considered. For a wavelength of 1.06μm and a 10-cm-diameter aperture, λD is seven times the isoplanatic angle (ϑ0=1.54μrad), and the Rytov number is 5.5. For three points placed along a line spanning approximately 70 isoplanatic patch sizes all three points are compensated somewhat, illustrating that anisoplanatism is addressed. The fact that the corresponding performance improvement ratios are 1.20, 1.34, and 3.26 in the presence of such strong scintillation and anisoplanatism is quite significant.

© 2006 Optical Society of America

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