We investigate unobstructed, plane-symmetric imaging systems of four spherical mirrors. Fifteen parameters are necessary to specify the configuration of such a system. Constraints are determined that ensure that any resultant system possesses a given set of first-order properties. These constraints remove four parameters as available degrees of freedom. To illustrate the efficacy of this design approach, we present two example studies: one for a class of systems with the object at infinity and another for finite-conjugate projection systems. For each study a global optimizer is used as the primary search tool. Example systems from these studies are presented.
© 2000 Optical Society of America
(080.2740) Geometric optics : Geometric optical design
(080.3620) Geometric optics : Lens system design
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(230.4040) Optical devices : Mirrors
Joseph M. Howard and Bryan D. Stone, "Imaging with Four Spherical Mirrors," Appl. Opt. 39, 3232-3242 (2000)