Simulated PSF of the fitting residuals h_ϵ for the different profiles. Each panel shows the PSF simulated via Monte Carlo simulations (MC, left) and via the analytical PSD (right). The grey squares represent the cut-off frequency |k_iϵ{1,2}| < (2∆)⁻¹. Panel a: 2D local piston. Panel b: 2D pyramid. Panel c: 2D axisymmetric Gaussian profile. Panel d: 2D axisymmetric ALPAO profile. Panel e: 2D sinc function. Panel f: binary mask analytical model. Panel g: k₁ -profiles of Panels a-f of the Monte Carlo simulations (solid lines) and the PSD analytical models (dashed lines). – Aperture: disc of diameter 95%D.