5 September 2002 Global wavefront reconstruction algorithm from its image in the focal plane and Shack-Hartmann sensor images
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Abstract
The Shack-Hartmann sensor is used for wavefront sensing in adaptive optics. In the conventional use of the Shack-Hartmann sensor, information on the components other than wavefront tilt cannot be obtained. This means that the value of the Strehl ratio of the compensated image is not so high in spite of the fact that the Shack-Hartmann sensor images have higher order information about the global wavefront. We propose to use both the Shack-Hartmann sensor images and the image in the focal plane of the global wavefront as the constraints in the iterative Fourier transform algorithm proposed by J.R.Fienup. The reconstructed wavefront by using only the information on the gravity center of an image of the Shack-Hartmann sensor is used as an initial estimate in this iterative procedure. The effectiveness of this proposed algorithm is shown by computer simulation results. This proposed algorithm converged to an adequate wavefront rapidly without suffering from the stagnation problem and it showed good performance even in the case in which measured images were contaminated by photon noise.
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Tohru Takahashi, Tohru Takahashi, Hiroaki Takajo, Hiroaki Takajo, Takahiro Maeyama, Takahiro Maeyama, Toshiro Fujisaki, Toshiro Fujisaki, } "Global wavefront reconstruction algorithm from its image in the focal plane and Shack-Hartmann sensor images", Proc. SPIE 4926, Adaptive Optics and Applications II, (5 September 2002); doi: 10.1117/12.481698; https://doi.org/10.1117/12.481698
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