A model of a nonmodulated pyramid wavefront sensor (P-WFS) based on Fourier optics has been presented. Linearizations of the model represented as Jacobian matrices are used to improve the P-WFS phase estimates. It has been shown in simulations that a linear approximation of the P-WFS is sufficient in closed-loop adaptive optics. Also a method to compute model-based synthetic P-WFS command matrices is shown, and its performance is compared to the conventional calibration. It was observed that in poor visibility the new calibration is better than the conventional.
© 2007 Optical Society of America
Fourier Optics and Signal Processing
Original Manuscript: February 27, 2007
Revised Manuscript: May 16, 2007
Manuscript Accepted: June 13, 2007
Published: August 16, 2007
Visa Korkiakoski, Christophe Vérinaud, Miska Le Louarn, and Rodolphe Conan, "Comparison between a model-based and a conventional pyramid sensor reconstructor," Appl. Opt. 46, 6176-6184 (2007)