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Styk, Adam
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Derivation of quasi-parallel glass plate parameters tested in a Fizeau interferometer
Abstract
The paper deals with a common problem in measuring surface flatness of transparent quasi-parallel plates in a Fizeau interferometer. The beam reflected from the rear surface leads to a complicated interferogram intensity distribution. The application of phase shifting for the plate front surface flatness determination becomes ineffective. We propose a new computation approach to suppress spurious modulations. First we find a two-beam-like interference pattern relevant to plate thickness variations using either temporal or spatial phase shifting. Its distribution is calculated using the Hilbert transform. The residual spherical aberration of the illuminating beam and the shape of the reference flat (determined by an absolute flatness testing conducted with the same interferometer) are subtracted from the plate thickness distribution. In this way the shape of the front surface is obtained. Numerical studies are complemented by experimental results.