An H1-Kaczmarz reconstructor for atmospheric tomography.

Atmospheric tomography is a prerequisite step before wavefront perturbations can be corrected in Multi Conjucate Adaptive Optics (MCAO) systems. Recently, the use of a Landweber-Kaczmarz iteration has been proposed to solve the tomography problem. However, due to the geometric partitioning of the update steps in this method, discontinuities in the solution appear that are physically implausible. We investigate augmenting the Landweber-Kaczmarz iteration with a smoothing step based on solving an elliptic partial differential equation to alleviate these discontinuities. [ABSTRACT FROM AUTHOR]