Abstract

We present two complementary algorithms suitable for using focal-plane measurements to control a wavefront corrector with an extremely high-spatial resolution. The algorithms use linear approximations to iteratively minimize the aberrations seen by the focal-plane camera. The first algorithm, Fast & Furious (FF), uses a weak-aberration assumption and pupil symmetries to achieve fast wavefront reconstruction. The second algorithm, an extension to FF, can deal with an arbitrary pupil shape; it uses a Gerchberg–Saxton (GS)-style error reduction to determine the pupil amplitudes. Simulations and experimental results are shown for a spatial-light modulator controlling the wavefront with a resolution of 170×170pixels. The algorithms increase the Strehl ratio from 0.75 to 0.98–0.99, and the intensity of the scattered light is reduced throughout the whole recorded image of 320×320pixels. The remaining wavefront rms error is estimated to be 0.15rad with FF and 0.10rad with FF-GS.

© 2014 Optical Society of America

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