Tip/tilt estimation from defocused images

Physics – Optics

Scientific paper

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Astronomical Techniques, Atmospheric Turbulence, Aberrations, Atmospheric Optics, Adaptive Optics, Image Resolution, Optical Information Processing, Fourier Transform Optics, Optical Focusing, Maximum Likelihood Estimation

Scientific paper

In astronomical imaging, the errors in the wave-front slope are a significant cause of aberrations in the detected image. We investigate how the slope can be estimated optimally using an intensity measurement of the propagated wave front. We show that the optimal location for detection of wave-front tilt is the focal plane, and we quantify the error in using defocused images, such as would be obtained from a curvature sensor, for estimating the wave-front tilt. The effect of using broadband light is also quantified.

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