Least-squares method for least-squares solution to the inverse problem of restoring the parameters of complicated periodical movements by the laser interference signal of the homodyne system

Sergei V. Gangnus; Dmitry Alexandrov Usanov; Anatoli V. Skripal

doi:10.1117/12.380110

20 March 2000 Least-squares method for least-squares solution to the inverse problem of restoring the parameters of complicated periodical movements by the laser interference signal of the homodyne system

Sergei V. Gangnus, Dmitry Alexandrov Usanov, Anatoli V. Skripal

Author Affiliations +

Proceedings Volume 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy; (2000) https://doi.org/10.1117/12.380110
Event: Saratov Fall Meeting '99, 1999, Saratov, Russian Federation

Abstract

The article proves the problem of determining the mechanical vibration amplitudes of complicated movements by optical homodyne interferometry to be incorrect. The possibility of its approximate solution by the least-squares method is presented. The above method usage for the restoration of mechanical system vibration spectrum has been verified.

Citation Download Citation

Sergei V. Gangnus, Dmitry Alexandrov Usanov, and Anatoli V. Skripal "Least-squares method for least-squares solution to the inverse problem of restoring the parameters of complicated periodical movements by the laser interference signal of the homodyne system", Proc. SPIE 4002, Saratov Fall Meeting '99: Laser Physics and Spectroscopy, (20 March 2000); https://doi.org/10.1117/12.380110

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