A generalized sine condition and performance comparison of Wolter type II and Wolter-Schwarzschild extreme ultraviolet telescopes

Computer Science – Performance

Scientific paper

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Optical Paths, Ray Tracing, Rotating Mirrors, Surface Geometry, Ultraviolet Telescopes, Differential Equations, Focal Plane Devices, Imaging Techniques, Mirrors, Reflecting Telescopes, Sine Series

Scientific paper

An equation similar to the Abbe sine condition is derived for a Wolter type II telescope. This equation and the sine condition are then combined to produce a so called generalized sine condition. Using the law of reflection, Fermat's principle, the generalized sine condition, and simple geometry the surface equations for a Wolter type II telescope and an equivalent Wolter-Schwarzschild telescope are calculated. The performances of the telescopes are compared in terms of rms blur circle radius at the gaussian focal plane and at best focus.

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