ρ_⊙ as a function of the XAO residual error, integrated over three cycles in the pupil diameter. Left: results from different simulations represented by points color coded by Strehl at λ=750 nm. Middle: PSD of all data binned by WFE, shown as a gray map. Green to red curves represent the 10, 25, 50, 75, and 90 percentile of best cases. Right: same as middle, filtered for Strehl≥70%.