CANONICAL-TRANSFORMATIONS TO WARPED SURFACES - CORRECTION OF ABERRATED OPTICAL-IMAGES

The projection of optical images on warped screens is a canonical tran sformation of phase space between Bat and warped evolution-parameter s urfaces. In mechanics, the evolution parameter is time; in geometric o ptics it is the optical axis of coordinate space. We consider the spec ific problem of bringing to focus an axis-symmetric aberrating optical system by warping the output screen. The solution for the surface cur vature coefficients is given in terms of the Lie aberration coefficien ts of the system; a linear optimization strategy applies.