LIE-HAMILTON-GEOMETRIC-ABERRATION OPTICS - SYMMETRIES AND SYMBOLIC COMPUTATION

We review the Lie-Hamilton treatment of optical aberrations to highlig ht its algorithmic composition property for concatenation of optical e lements. mexLIE is a set of symbolic computation functions developed b y the authors which permits the fully parametric design of optical sys tems including free spaces, aligned radial graded-index media, and pol ynomial refracting surfaces between these, to seventh aberration order . We give simple examples to illustrate its use.