Impact of time delay on the dynamics of optical parametric oscillator with intra-cavity pumping by semiconductor disk laser

L. A. Kochkurov ; M. I. Balakin ; P. V. Kuptsov ; Yu. A. Morozov

Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 27 (2019) no. 3, pp. 61-72.

Résumé

Theme. The dynamics of a nonlinear numerical model of a nonlinear optical interaction in the semiconductor disk laser resonator under influence of the time delay is investigated. The conditions of self-excitation, stationary generation modes and their stability are studied. Methods. The analysis of stationary generation stability was performed with DDE-Biftool package. Analysis of higher dimensional regimes was performed using numerical integration, construction of phase portraits, spectra and calculation of Lyapunov exponents. Results. A numerical simulation of the dynamics in the region of steady state instability shown, that the instability is quasi-harmonic only in the vicinity of Andronov–Hopf bifurcation, and quickly turns into quasi-periodic instability with variation of control parameters. Transient dynamics is studied. Discussion. The results can be used for optimization of laser generator parameters in high resolution spectroscopy devices.

Détail

Keywords: optical parametric oscillator, semiconductor disk laser, nonlinear optical interaction, time delayed systems.

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