We present a general, undiscretized formulation of astronomical adaptive optics that encompasses arbitrary guide star sources and deformable mirror configurations. It is shown that wave-front measurements can be represented as samples of an integral transform of the turbulence perturbation and also that the desired information for adaptive correction is a subset of this transformed space. Some properties of this space are explored, and their implications for adaptive optics are discussed.
© 2000 Optical Society of America
J. C. Quartel, J. B. Clifford, and J. C. Dainty, "Astronomical adaptive optics in parameter space," Opt. Lett. 25, 1138-1140 (2000)