Methods for studying astronomical optics - Limitations of Hartmann's method

Physics – Optics

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Optical Equipment, Optical Properties, Paraboloid Mirrors, Telescopes, Aberration, Diaphragms, Diffraction, Laplace Transformation, Mechanical Properties, Optical Correction Procedure, Surface Properties, Wave Fronts

Scientific paper

Conditions are analyzed which limit the applicability of Hartmann's (1904) method for studying the optics of astronomical mirrors. The principle of this method is reviewed, its quality is evaluated, and three of the most important factors limiting its application are examined. It is shown that: (1) diffraction at the diaphragm apertures and the diaphragm's mechanical stability place upper and lower limits on the aperture diameters and the distance between their centers; (2) the lower limit on the total number of apertures is determined by the precision which must be developed for obtaining results of specified reliability; and (3) an adequate description of an optical element's surface is limited by the degree of surface smoothness.

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