Zernike-polynomial expansion of turbulence-induced centroid anisoplanatism

Physics – Optics

Scientific paper

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Aberration, Adaptive Optics, Atmospheric Turbulence, Optical Tracking, Telescopes, Wave Front Deformation, Apertures, Asymptotic Methods, Centroids, Mirrors

Scientific paper

A tilt term, together with coma terms, is noted to constitute an expansion of image centroid position after propagation through atmospheric turbulence in the framework of Zernike polynomial coefficients; centroid anisoplanatism therefore arises from turbulence-induced coma distortions. The deleterious effects of centroid anisoplanatism can be reduced to any desired level by means of a correction of coma effects to a sufficiently high order. The Strehl ratio is given by an asymptotic formula.

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