Conic Constant and Paraxial Radius of Curvature Measurements, for Conic Surfaces.

Abstract

A technique was developed1 to find the profile of a conic surface, along one diameter. In this method it is necessary to - determine a set of values of the longitudinal aberration2, X, - and the corresponding angles, θ. For this method one assumes - that the values of the paraxial radius of curvature, r, and the conic constant, k, are known, and they are related by X = -kz, and tan θ = s/ (r−z(k+1)); where z is the sagitta, and s the distance to the optical axis.