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Reconstruction of the spectrum in a Michelson interferometer with an extended radiation source by using the Hilbert–Schmidt method

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Abstract

After reviewing various early methods of deconvolution, the Hilbert–Schmidt method (HSM) is presented to improve the capability of a Michelson interferometer. Simulation experiments were performed with an Apricot computer. The instrumental function we obtained has a very small width and has no noticeable sidelobes. Therefore the resolution is improved greatly, and the input spectrum is recovered in a Michelson interferometer with an extended radiation source. The intensity of the interferogram is increased on a large solid angle that exceeds the value permissible in FTS. The influence of random noise is also discussed, and the maximum order of the noise is evaluated.

© 1992 Optical Society of America

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