Analysis of the tolerance of a modern Michelson stellar interferometer

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Michelson Interferometers, Optical Paths, Accuracy, Light Beams

Scientific paper

The loss of fringe visibility in stellar interferometers is theoretically linked to instrumental imperfection, and specifications are derived for the tolerance of the instruments. The relationship between fringe visibility and the modulus of the source-coherence function is derived for an interferometer with two apertures. The loss of fringe visibility is demonstrated to relate to: (1) the nonzero optical path difference between the two optical beams; (2) lack of parallelism in the wavefronts and/or intensity differences between the two beams; and/or (3) imperfections in the surface of the optical parts. Required accuracies and tolerances are given for the optical path-length compensator and for the pointing and spatial stability of the siderostats. The present paper provides useful data for the design and analysis of interferometers of the Michelson variety.

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