Geometrical parameters in the Hartmann test of aspherical mirrors

Physics – Optics

Scientific paper

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Aberration, Asphericity, Geometrical Optics, Mirrors, Optical Correction Procedure, Telescopes, Hole Distribution, Lens Design, Performance Tests, Photographic Plates, Screen Effect

Scientific paper

A mathematical model is presented making it possible to compute the optimum geometrical parameters for the Hartmann test. The test is useful when testing large concave aspherical mirrors for astronomical telescopes. It is assumed that the light source is placed near the center of curvature. The geometrical parameters considered are the size of the holes and their separation, the tolerance in this separation as well as the size and position of the photographic plate. Optimum values for a hyperbolic telescope mirror with 64-cm diameter, 358.4-cm radius of curvature, and a conic constant of -1.0328 are computed. Hartmann plate images outside and inside the center of curvature are shown for the 257-cm (101-in) mirror for the Du Pont telescope of Las Campanas, Chile.

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