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Modern Giant Segmented Mirror Telescopes (GSMT) like the Extremely LargeTelescope (ELT), currently under construction depend heavily on Adaptive Optics(AO) systems to correct for atmospheric turbulence. To be able to correct widerfields of view (FoV), Multi-Conjugate Adaptive Optics (MCAO) systems wereintroduced, which use multiple guide stars to obtain an almost uniformcorrection over the FoV. However, a residual blur remains in the astronmicalimages due to the time delay stemming from the wavefront sensor (WFS)integration time and temporal response of the deformable mirror(s) (DM). Thisresults in a blur which can be mathematically described by a convolution of thetrue image with the point spread function (PSF). Due to the nature of theatmosphere and its correction, the PSF is spatially varying.  In this paper, we present an algorithm for MCAO PSF reconstruction adapted tothe needs of GSMTs in a storage efficient way. In particular, the PSFreconstruction algorithm for Single Conjugate Adaptive Optics (SCAO) from [40]is combined with an algorithm for atmospheric tomography from [33] to obtain adirection dependent reconstruction of the post-AO PSF.  Results obtained in an end-to-end simulation tool show qualitatively goodreconstruction of the PSF compared to the PSF calculated directly from thesimulated incoming wavefront. Furthermore, the used algorithm has a reasonableruntime and memory consumption.

Direction dependent Point spread function reconstruction for Multi-Conjugate Adaptive Optics on Giant Segmented Mirror Telescopes