Abstract

An expansion of image centroid position after propagation through atmospheric turbulence in terms of Zernike-polynomial coefficients is shown to consist of a tilt term plus coma terms. Centroid anisoplanatism therefore arises from turbulence-induced coma distortions. By correcting for coma effects to a sufficiently high order, the deleterious effects of centroid anisoplanatism can be reduced to any desired level. The Strehl ratio is given by the asymptotic formula [1 + A(D/r₀)^5/3]⁻¹, where A = 0.018(I + 1)^−7/3 and I is the number of coma terms corrected.

© 1985 Optical Society of America

Centroid anisoplanatism

H. T. Yura and M. T. Tavis
J. Opt. Soc. Am. A 2(5) 765-773 (1985)

Scintillation effects on centroid anisoplanatism

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Zernike annular polynomials and atmospheric turbulence

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Zernike polynomials and atmospheric turbulence*

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