Design techniques determining the layout of catadioptric systems.

Physics – Optics

Scientific paper

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Optical Design

Scientific paper

Using the 'thin lens' equations in Argentieri's notation a relation between third-order coma and Petzval-curvature is derived, which holds for symmetric shaped simplets and which for its part is not influenced by bending both of two symmetrical components symmetrically. Third-order coma of the spherical mirror can be rewritten, to make it accessible to the same relation. Thus a tool is given to analyse the space of Cassegrainians or Gregorians composed out of such catadioptric simplets having predetermined values for each of the existing five third order aberrations. Zeroing all such aberrations conveys to a function in a two-dimensional space relating the necessary power of the first member and the necessary distance of the second member at unit power of the entire system, where such systems can be achieved. Some particular points of this function show congeniality with well known optical systems in astronomical instruments.

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