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Transfer Function of the Williams Interferometer Used as a Fourier Spectrometer

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Abstract

The interferometer consists of a beamsplitter and two spherical mirrors. Each mirror forms an image of the source on the detector. The transfer function is calculated for a point source and various detectors comparable in size to the diffraction images. The path difference is introduced by moving either one or both of the mirrors. For large detectors, the maximum-permitted path difference is twice the focal tolerance. For small detectors, the usable path difference is somewhat larger but depends on the manner in which the path difference is varied.

© 1972 Optical Society of America

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