An optimal filter algorithm for adaptive optics provides a powerful method for phase correction for propagation through the Earth’s turbulent atmosphere involving anisoplanatism. In the new algorithm the outward phase correction is the sum of the product of a weighting function (the optimal filter) and all the wave-front measurements at the pupil, greatly improving the Strehl ratio. Two simplified cases are presented for illustration: (1) a collimated beam traversing a layer of uniform isotropic turbulence (angle anisoplanatism) and (2) focus anisoplanatism. It compares favorably with tomographic techniques. The technique can be extended to the case of thick, strong turbulence in the far field of a subaperture of an adaptive optics system.
© 2003 Optical Society of America
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
George W. Sutton, "Optimal Filter for Phase Correction of Anisoplanatism," Appl. Opt. 42, 3480-3487 (2003)