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Transverse translation diversity wavefront sensing with limited position and pupil illumination knowledge

Transverse translation diversity phase retrieval (TTDPR) is an image-based wavefront sensing technique where a mask with a known transmission distribution translates through a pupil plane of the system under test while point spread functions are acquired. Usually this requires knowledge of the translation of the mask, knowledge of the pupil illumination due to the system’s aperture stop and a target that does not move between frames. We demonstrate, by Monte-Carlo simulation, a multi-stage bootstrapping technique capable of estimating pupil phase with hundredth wave RMS error even when all of these requirements are unmet.