Influence of the wave-front correlation function and deterministic wave-front aberrations on the speckle image-reconstruction problem in the high-light-level regime

Abstract

The speckle transfer function 〈T(α1)T*(α2)〉 has been analyzed as a function of the strength of the atmospheric turbulence, of the shape of the wave-front correlation function, and of the lower-order deterministic aberrations. The speckle transfer function is shown to be highly dependent on the width of the wave-front correlation function. The effects of symmetric aberrations (e.g., defocus and spherical aberration) and asymmetric aberrations (e.g., coma) in the exit pupil of the telescope have been calculated for 〈|T(α)|2〉, the transfer function of Labeyrie speckle interferometry, and for 〈T(α)T*(α + β)〉, the transfer function of the Knox–Thompson phase-recovery algorithm.