Computational aberration correction for an arbitrary linear imaging system- art. no. 123902

We show that aberration corrections can be made in any arbitrary linear ima ging system provided the aberrations are well characterized and at least on e of these aberrations can be independently varied in a well-controlled man ner. We derive a generalization of the Schrodinger equation for wave propag ation in aberration space assuming forward scattering. Transport equations in aberration space are derived. A general iterative algorithm which can re trieve the phase, and is robust in the presence of noise, is also derived. This is demonstrated using simulated data pertinent to electron microscopy, from a series of images with differing spherical aberration.