Real time phase compensation using a tomographical pupil image wavefront sensor (TPI-WFS)

This paper presents a method to recover the wavefront phase at the telescope pupil, distorted because of the atmosphere action, and its use to command a deformable mirror to compensate for the optical aberrations in real time (AOLI instrument). For this purpose, an evolution of the geometric sensor [1] was used to restore the wavefront from two defocused images. Furthermore, by using specialized hardware the computations can be performed in real time, within the stability time of the atmosphere.