The adaptive optics community is turning its attention to super-resolution-enabling designs (SR). These allow wavefront reconstruction at a higher-resolution from multiple lower-resolution samples. Such are the cases of tomographic sytems using multiple laser guide star Shack-Hartmann (SH) measurements.The extension of this concept to the pyramid wavefront sensors (PyWFS) has already been advocated, but the concept is not as straightforward as initially thought.
Our goal is to provide a general proof of how SR can be exploited with PyWFSs, where we can draw from the analogy with SH-WFSs and where it they fundamentally different. Furthermore we show how phase and amplitude aberrations can be measured concomitantly and the new applications this opens.
We provide analytic (diffraction theory), numerical (Monte Carlo physical optics simulations) and tentatively experimental (on-sky @ REVOLT) demonstrations.
We illustrate results with several achievable performance metrics (Strehl-ratio, WFE, etc), aliasing rejection and noise propagation as well as design guidelines for how to increase SR capabilities across different PyWFS configurations.
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