25 October 1996 Maximum a priori estimation of wavefront slopes using a Hartmann wavefront sensor
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Abstract
Current methods for estimating the wavefront slope at the pupil of a telescope using a Hartmann wavefront sensor (H- WFS) are based on a simple centroid calculation of the irradiance distributions (spots) recorded in each subaperture. The centroid calculation does not utilize knowledge concerning the correlation properties of the slopes over the subapertures or the amount of light collected by the H-WFS. This paper presents the derivation of a maximum a priori (MAP) estimation of the irradiance centroids by incorporating statistical knowledge of the wavefront tilts. Information concerning the light level in each subaperture and the relative spot size is also employed by the estimator. The MAP centroid estimator is found to be unbiased and the mean squared error performance is upper bounded by that exhibited by the classical centroid technique. This error performance is demonstrated using Kolmogorov wavefront slope statistics for various light levels.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Scott A. Sallberg, Byron M. Welsh, and Michael C. Roggemann "Maximum a priori estimation of wavefront slopes using a Hartmann wavefront sensor", Proc. SPIE 2827, Digital Image Recovery and Synthesis III, (25 October 1996); doi: 10.1117/12.255090; https://doi.org/10.1117/12.255090
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