Abstract

Transverse ray aberration expansions are derived for a paraboloid–hyperboloid telescope. The expansions are valid for glancing incidence Wolter type II and normal incidence Cassegrain telescopes. The analysis gives all third-order aberration terms except distortion and four fifth-order aberration terms as a function of the system parameters and entrance pupil coordinates. The spot diagrams derived from exact ray tracing and the aberration expansions for a Wolter type II design and Cassegrain design agree well. The importance of fifth-order terms is discussed for the Wolter type II telescope.

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