Current pupil-plane adaptive optics (AO) systems face two challenges: non-common-path aberrations (NCPAs), caused by path differences between the sensing and science arms of an instrument; and petaling, discontinuous aberrations which arise for systems with large, fragmented pupils. One solution is to add a dedicated wavefront sensor (WFS) which senses aberrations in the final focal plane. Previous work has demonstrated real-time wavefront control from the final focal plane using the intensity pattern of a photonic lantern (PL): a waveguide that can couple an aberrated telescope beam into multiple single-mode fibers. Here, we consider the next logical extension, where PL outputs are additionally spectrally dispersed. The additional phase information provided by spectral dispersion can potentially expand both the number of corrected modes and the dynamic range of the PL WFS. Simultaneously, a dispersed PL can enable powerful techniques such as high-resolution spectroscopy and spectroastrometry. To this end, we present an analysis of the dispersed PLWFS, in the process developing implementation strategies and culminating in an experimental demonstration on the SCExAO testbed.
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