Set of all possible stigmatic pairs of mirrors

Abstract

Here, closed-form equations that express a pair of mirrors such that it forms a stigmatic optical system are presented. The mentioned equations are general enough to express the set of all possible pairs of stigmatic mirrors. Several examples for pairs of stigmatic mirrors are given and numerically tested with ray tracing, showing that their optical performance is, as expected, free of spherical aberration. Finally, the limitations and potential applications of stigmatic pairs are discussed.