Centroid anisoplanatism

Abstract

A new and potentially serious optical-system beam degradation is discussed. The degradation, which we define here as centroid anisoplanatism, deals with the errors and corresponding on-axis intensity reduction that are obtained when centroid or wave-front gradient tracking systems are employed to determine the overall atmospheric-turbulence-induced tilt in short-term imaging and/or laser transmitting systems. The error between overall tilt and centroid measurements becomes more important both at shorter wavelengths and for large-diameter optics. It is also exacerbated by point-ahead limitations and scintillation. Specifically, it is shown that a Strehl ratio of less than 3 × 10⁻² results for D/r₀ ≳ 100, where D is the optics aperture diameter and r₀ is the turbulence-induced lateral coherence length.

© 1985 Optical Society of America

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