Probability distribution of the PIAAN performance considering manufacturing tolerances. There is no optical aberration in this system, not even on PIAA optics. The gray area is the probability density function for each wavelength. The curves then represent the 10, 25, 50, 75, and 90 percentile of the realizations for each wavelength. They do not represent a likelihood to obtain an actual contrast curve. Left: all tolerances included as presented in Table 2. Right: result when a perfect IFU is considered.