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Stochastic resonance in a single-mode laser driven by quadratic colored pump noise and quantum noise with cross-correlation between real and imaginary parts of noise. (English) Zbl 1179.82105

Summary: Based on the single-mode laser noise model driven by quadratic colored pump noise and quantum noise with cross-correlation between real and imaginary parts of noise proposed in [the second and the third author, Int. J. Mod. Phys. B 20, No. 32, 5383–5390 (2006); Phys. Rev. A 73, No. 2, 023802 (2006)], the stochastic resonance (SR) of laser intensity is investigated by virtue of the linearized approximation. The analytic expression of signal-to-noise ratio (SNR) is calculated. It is found that SR exists, respectively, in the curves of the SNR versus the noise cross-correlation coefficient \(\lambda _{p}\) and the SNR versus the pump parameter \(a\), as well as the SNR versus the signal frequency \(\bar {\omega}\) for the model. It is shown that there are three different types of SR in the model: the conventional form of SR, SR in the broad sense and the bona fide SR.

MSC:

82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
78A60 Lasers, masers, optical bistability, nonlinear optics
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References:

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