Cumulative Reconstructor: fast wavefront reconstruction algorithm for Extremely Large Telescopes.

The Cumulative Reconstructor (CuRe) is a new direct reconstructor for an optical wavefront from Shack-Hartmann wavefront sensor measurements. In this paper, the algorithm is adapted to realistic telescope geometries and the transition from modified Hudgin to Fried geometry is discussed. After a discussion of the noise propagation, we analyze the complexity of the algorithm. Our numerical tests confirm that the algorithm is very fast and accurate and can therefore be used for adaptive optics systems of Extremely Large Telescopes.

[1]  Enrico Fedrigo,et al.  SPARTA for the VLT: status and plans , 2012, Other Conferences.

[2]  Chris L. Koliopoulos,et al.  Modal estimation of a wave front from difference measurements using the discrete Fourier transform , 1986 .

[3]  Kjetil Dohlen,et al.  SPHERE: a planet finder instrument for the VLT , 2006, Astronomical Telescopes + Instrumentation.

[4]  Andreas Neubauer,et al.  Cumulative wavefront reconstructor for the Shack-Hartmann sensor , 2011 .

[5]  Lisa A Poyneer,et al.  Fast wave-front reconstruction in large adaptive optics systems with use of the Fourier transform. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Jean-Pierre Véran,et al.  Optimal modal fourier-transform wavefront control. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  Michel Tallon,et al.  Fast minimum variance wavefront reconstruction for extremely large telescopes. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  M. Turatto,et al.  A Planet Finder instrument for the VLT , 2005, Proceedings of the International Astronomical Union.

[9]  Francois Roddier,et al.  Adaptive Optics in Astronomy: Imaging through the atmosphere , 2004 .

[10]  Norbert Hubin,et al.  Adaptive optics simulations for the European Extremely Large Telescope , 2006, SPIE Astronomical Telescopes + Instrumentation.

[11]  Brent L Ellerbroek,et al.  Efficient computation of minimum-variance wave-front reconstructors with sparse matrix techniques. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Michel Tallon,et al.  Comparison of minimum-norm maximum likelihood and maximum a posteriori wavefront reconstructions for large adaptive optics systems. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.