Abstract

The optical element in the Shack-Hartman wavefront sensor is a microlens raster, which breaks the light field with phase distortions in the approximation of geometric optics into partial beams. The phase fluctuations of the light field within the sub-aperture correspond to the fluctuations of two angles of arrival or the fluctuations of two local inclinations of the wave front within the same limits of the sub-aperture and are associated with correlation relations. In this case, the correlation is a quantitative measure of the similarity of the two corresponding phase distributions within the subaperture on the two analyzed Shack-Hartmann patterns. The paper presents the results of numerical experiments on the reconstruction of the wave front using the correlation approach to the centering of focal spots.

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