Abstract
The use of thresholding processing is a very extended task in centroid based gradient wavefront sensors. In this paper we develop the expressions that include the thresholding process in the relation between the wavefront derivative and the centroid of a thresholded intensity distribution. We also analyze through numerical simulations the effective influence of thresholding on the wavefront slope. The results of the developed simulations remark: the relevancy of the centroid shift induced by the interaction between thresholding processing and comatic aberrations; and the nonlinear relation between the centroid and the phase gradient in presence of thresholding processing. Particularization of these results to Shack–Hartmann sensors has also been done.
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