CASPIAN JOURNAL
MANAGEMENT AND HIGH TECHNOLOGIES
Mathematical substuntiation of the method of microvibrations parameters measuring by laser autodyne signal spectrum
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Read | Usanov Dmitriy A., Skripal Anatoliy V., Astakhov Elisey I. Mathematical substuntiation of the method of microvibrations parameters measuring by laser autodyne signal spectrum // Caspian journal : management and high technologies. — 2014. — №1. — pp. 058-070. |
Usanov Dmitriy A. - D.Sc. (Physics and Mathematics),Professor, Saratov State University named after N.G. Chernyshevsky, 83 Astrakhanskaya St., Saratov, 410012, Russian Federation, usanovDA@info.sgu.ru
Skripal Anatoliy V. - D.Sc. (Physics and Mathematics),Professor, Saratov State University named after N.G. Chernyshevsky, 83 Astrakhanskaya St., Saratov, 410012, Russian Federation, skripalav@info.sgu.ru
Astakhov Elisey I. - post-graduate student, Saratov State University named after N.G. Chernyshevsky, 83 Astrakhanskaya St., Saratov, 410012, Russian Federation, elisey.astakhov@gmail.com
The results of mathematical justification of the method of measuring of microvibrations amplitude of the reflector in the optical homodyne system including the semiconductor laser autodyne have been presented in the paper. The modeling of the shape and the low-frequency spectrum of autodyne signal at different levels of optical feedback has been carried out. The nature of the influence of the level of external optical feedback on the amplitude of the spectral components of the autodyne signal of vibration has been analyzed. The analysis of existing methods for determining the amplitude of the vibrations on the low-frequency spectrum of the interference signal has been carried out by the authors. As a result of the analysis it has been concluded that the known methods of the vibration analysis based on the expansion of the interference signal in the series of Bessel functions have several limitations. To determine the amplitudes of microvibrations the method has been proposed based on the simultaneous expansion of autodyne signal in Fourier and Bessel series. The advantages of this method over existing ones have been shown. The authors have obtained expressions for the single-valued solution for all values of the vibration amplitude of the external reflector. This decision does not depend on the stationary phase shift of autodyne signal.
Key words: spectral analysis, laser system, autodyne signal, amplitude of microvibrations, interference signal, the vibration spectrum, external optical feedback, computer simulation