General surface equations for glancing incidence telescopes

Physics – Optics

Scientific paper

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Geometrical Optics, Grazing Incidence, Grazing Incidence Telescopes, Mirrors, Optical Paths, Ultraviolet Telescopes, X Ray Telescopes, Fermat Principle, Lens Design, Parameter Identification, Reflecting Telescopes, Wave Propagation

Scientific paper

A generalized set of equations are derived for two mirror glancing incidence telescopes using Fermat's principle, a differential form of the law of reflection, the generalized sine condition, and a ray propagation equation described in vector form as a theoretical basis. The resulting formulation groups the possible telescope configurations into three distinct classes which are the Wolter, Wolter-Schwarzschild, and higher-order telescopes in which the Hettrick-Bowyer types are a subset. Eight configurations are possible within each class depending on the sign and magnitude of the parameters.

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