Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics

Luc Gilles; Brent L. Ellerbroek; Curtis R. Vogel

doi:10.1117/12.459347

7 February 2003 Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics

Luc Gilles, Brent L. Ellerbroek, Curtis R. Vogel

Proceedings Volume 4839, Adaptive Optical System Technologies II; (2003) https://doi.org/10.1117/12.459347
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

Multi-conjugate adaptive optics (MCAO) systems with 10⁴-10⁵ degrees of freedom have been proposed for future giant telescopes. Using standard matrix methods to compute, optimize, and implement wavefront control algorithms for these systems is impractical, since the number of calculations required to compute and apply the reconstruction matrix scales respectively with the cube and the square of the number of AO degrees of freedom. In this paper, we develop an iterative sparse matrix implementation of minimum variance wavefront reconstruction for telescope diameters up to 32m with more than 10⁴ actuators. The basic approach is the preconditioned conjugate gradient method, using a multigrid preconditioner incorporating a layer-oriented (block) symmetric Gauss-Seidel iterative smoothing operator. We present open-loop numerical simulation results to illustrate algorithm convergence.

Citation Download Citation

Luc Gilles, Brent L. Ellerbroek, and Curtis R. Vogel "Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics", Proc. SPIE 4839, Adaptive Optical System Technologies II, (7 February 2003); https://doi.org/10.1117/12.459347

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