Abstract

The number of degrees of freedom associated with the design of an asymmetric system can be reduced significantly when the system is required to possess a prescribed set of first-order imaging properties. A method is described for imposing the constraints associated with the requirement of a sharp, nonanamorphic image (with a prescribed magnification) of a single object. In this work the media in the object and image spaces are taken to be homogeneous and isotropic, and the last interface of the system is taken to be a spherical mirror. The degrees of freedom associated with the placement and curvature of this mirror, along with the configuration of the object and image surfaces, are surrendered to enforce the constraints associated with the realization of the desired first-order imaging properties. The imposition of these imaging constraints reduces the dimensionality of the configuration space by six.

© 1992 Optical Society of America

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