Determination of the parameters of low-reflecting object microvibrations by cepstrum of self-mixing signal in semi conductor laser
Abstract
The operation mode of a semiconductor injection laser under conditions of intracavity reception of an optical echo signal from an external object is considered. The analysis is based on an asymptotic model of a laser with a weak external optical feedback. The adequacy of the single-mode approximation for amplitudes of the vibrational motion of an exter nal object from some fractions of a wavelength to several wavelengths of the generated radiation is shown. High sensitivity of the cepstrum to the presence of amplitude modulation of the objectʼs oscillations is demonstrated. The reactions of the ceps trum and the power spectrum of a self-mixing signal to the parameters of oscillations are compared. It is shown that the position of cepstral lines is practically independent of the amplitude of vibrations and is determined by the frequencies of the main and modulating oscillations. The structure of the power spectrum of a self-mixing signal is quite complex and depends on the oscillation amplitude. It is demonstrated that the frequencies of microvibrations may be found from the position of cepstral lines, and the amplitude can be estimated from the width of the power spectrum for a self-mixing signal.
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