We investigate unobstructed, plane-symmetric systems of two spherical mirrors that are intended for imaging a single point. Low-order imaging constraints are determined that eliminate all but two of the seven parameters that specify the configuration of such a system. It is found that when these constraints are applied, the object point, the center of curvature of each mirror, and the image point necessarily lie along a single line. The associated merit function space is mapped as a function of the two independent parameters. Selected systems from various regions of the configuration space are illustrated.
© 1998 Optical Society of America
(080.2740) Geometric optics : Geometric optical design
(110.0110) Imaging systems : Imaging systems
(220.3620) Optical design and fabrication : Lens system design
(230.4040) Optical devices : Mirrors
Joseph M. Howard and Bryan D. Stone, "Imaging a point with two spherical mirrors," J. Opt. Soc. Am. A 15, 3045-3056 (1998)