Shirking in the Contemporary Congress Redux

A toric lens element is provided with an aspheric surface by first generating a cylindrical surface of revolution on a body of optical material and then honing this surface to aspherize it. While the work is being rotated about the axis of the cylinder, a honing member having a cutting surface of fixed radius is reciprocated back and forth along a path contained within a plane passing symmetrically through the work at an angle to the cylindrical axis. By controlling the curvature of the honing surface and the angle of honing, an aspheric surface is generated which approximates a fourth order sag plot effect. The particular relation is one in which the honing surface is formed with a radius of curvature which is equal to 1/RI cos2 phi +1/RTsin2 phi ; where RI is the instantaneous radius of curvature of the ellipse defined by the intersection of the cylindrical work surface and the plane in which the hone is reciprocated at that point of the ellipse at which the ellipse is intersected by its minor axis, RT is the radius of the cylindrical surface, phi is equal to 90 DEG minus the angle of the plane, RL=RIcos2 phi +RTsin2 phi with respect to the axis of rotation, and RL is the radius of the honing surface.