Real-time Wavefront Reconstruction from Intensity Measurements

Abstract. We propose an efficient approximation to the nonlinear phase diversity method for wavefront reconstruction from intensity measurements. The new method, iterative linear phase diversity (ILPD), assumes that the residual phase aberration is small and makes use of a first order Taylor expansion of the point spread function (PSF) performed for an arbitrary (large) diversity in order to optimize the phase retrieval. For static aberrations, ILPD makes use of two images collected at each iteration of the algorithm. In each step, the residual phase aberrations are estimated by solving a linear least squares problem, followed by the use of a deformable mirror to correct for the aberrations. A further contribution of the paper is the extension of the static ILPD to the case of dynamic wavefront reconstruction for which a computationally efficient H2 controller is presented.