Abstract

This paper discusses the aberrational properties of nonspherical surfaces formed by the rotation of the involute of an evolute having the form of a circle. It is shown that the rotation of an arbitrary curve that is nonsymmetrical relative to the normal to it at some point around this normal results in the formation of two surfaces of revolution, which are called a binary surface. The exact equation is obtained for a nonspherical surface equidistant from a paraboloid of revolution. The resulting equation has the form of a power series in the form of an implicit function. © 2004 Optical Society of America

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