Ray-trace analysis and data reduction methods for the Ritchey-Common test

Computer Science – Performance

Scientific paper

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Aberration, Data Reduction, Flat Surfaces, Mirrors, Ray Tracing, Wave Front Deformation, Computerized Simulation, Error Analysis, Performance Tests, Surface Geometry

Scientific paper

The relationships between figure errors on an optical flat and wave-front aberrations when the flat is tested in the Ritchey-Common configuration are investigated by the real ray-tracing lens analysis program POLYCON. A demonstration is given of a new data reduction method for the test. The test is simulated and rays are traced with the aid of POLYCON. Unit magnitude Zernike term surface errors are added, one at a time, to the flat under the simulated test, and the effect on the wave front is derived by means of real ray tracing. The result is a table of influence functions for the particular test geometry. The simulation is then repeated for one or more different field angles or azimuthal rotation of the flat to obtain other sets of influence functions. Using these functions, it becomes possible to deduce the surface errors on the flat that are responsible for any arbitrary test wave-front errors measured up to the order of the influence functions derived.

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