Method for generating the anterior surface of an aberration-free contact lens for an arbitrary posterior surface

Advances in accuracy of the measurement of corneal topography have made it possible to design contact lenses whose posterior surface is based on the corneal contour. Our goal is to design a contact lens of focal length, f, given an arbitrarily shaped posterior surface without assuming rotational symmetry. The shape of the anterior surface is calculated using the principle of least time, thereby going beyond paraxial assumptions and the thin lens approximation. There is no requirement that the reference ray be normal to either the anterior or posterior surface of the lens.