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We present here fully optimized two-dimensional pupil apodizations for whichno specific geometric constraints are put on the pupil plane apodization, apartfrom the shape of the aperture itself. Masks for circular and segmentedapertures are displayed, with and without central obstruction and spiders.Examples of optimal masks are shown for Subaru, SPICA and JWST. Severalhigh-contrast regions are considered with different sizes, positions, shapesand contrasts. It is interesting to note that all the masks that result fromthese optimizations tend to have a binary transmission profile.

Optimal pupil apodizations for arbitrary apertures