title: Preprocessed cumulative reconstructor with domain decomposition: a fast wavefront reconstruction method for pyramid wavefront sensor.
abstract: We present a fast method for the wavefront reconstruction from pyramid wavefront sensor (P-WFS) measurements. The method is based on an analytical relation between pyramid and Shack-Hartmann sensor (SH-WFS) data. The algorithm consists of two steps--a transformation of the P-WFS data to SH data, followed by the application of cumulative reconstructor with domain decomposition, a wavefront reconstructor from SH-WFS measurements. The closed loop simulations confirm that our method provides the same quality as the standard matrix vector multiplication method. A complexity analysis as well as speed tests confirm that the method is very fast. Thus, the method can be used on extremely large telescopes, e.g., for eXtreme adaptive optics systems.
authors.affiliation: Industrial Mathematics Institute, Johannes Kepler University Linz, Linz, Austria. iuliia.shatokhina@indmath.uni-linz.ac.at
authors.forename: Iuliia
authors.initials: I
authors.lastname: Shatokhina
authors.forename: Andreas
authors.initials: A
authors.lastname: Obereder
authors.forename: Matthias
authors.initials: M
authors.lastname: Rosensteiner
authors.forename: Ronny
authors.initials: R
authors.lastname: Ramlau