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Estimation of the Atmospheric Turbulence Parameters Using the Angle-of-Arrival Covariance Function

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The Fried’s length r0, the outer scale L0, the isoplanatism θ0, the coherence time τ0, and the profile of the optical turbulence energy \(C_{n}^{2}(h)\) are parameters of the wavefront spatiotemporal coherence. Numerous optical methods are used to determine the images quality through the estimation of the parameters r0, L0, θ0, and τ0, where numerical simulations of the transversal and longitudinal covariance (as a function of the angle-of-arrival (AA)) play a significant role. In this work, we, first, perform the statistical analysis of the fluctuations of angle-of-arrival using theoretical models of the atmospheric turbulence, and second, the statistical analysis of the AA fluctuations in solar limb images. This analysis plays a significant role in the optimization of techniques, such as adaptive optics (OA) and in interferometry, in astronomical observations with high angular resolution.

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Correspondence to F. Bennoui or D. Bahloul.

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Bennoui, F., Bahloul, D. Estimation of the Atmospheric Turbulence Parameters Using the Angle-of-Arrival Covariance Function. Atmos Ocean Opt 36, 569–577 (2023).

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