Multi-conjugate adaptive optics with two deformable mirrors - Requirements and performance

In order to increase the corrected field of view of an adaptive optics (AO) system, several deformable mirrors (DM) have to be placed in the conjugate planes of the dominant turbulent layers (multi-conjugate adaptive optics, MCAO (Beckers, 1988)). The performance of MCAO systems depends on the quality of the wavefront sensing of the individual layers and on the number of corrected modes in each individual layer as in single layer AO systems. In addition, the increase in corrected field of view depends on the number of guide stars providing information about the turbulence over a sufficiently large area in each turbulent layer. In this article, we investigate these points and provide formulae for calculating the increased field of view with a new approach using the spatial correlation functions of the applied polynomials (e.g. Zernike). We also present a new scheme of measuring the individual wavefront distortion of each of the dominant layers with a Shack-Hartmann-Curvature Sensor using gradient information as well as scintillation. An example for the performance of a two layer MCAO system is given for the 3.5-m telescope of the Calar Alto Observatory, Spain, using a measured C-n(2)-profile. The corrected field of view in K-band (2.2 mum) can be as large as 3 arcmin with a Strehl ratio above 60%.