Geodesic
Impact of time delay on the dynamics of optical parametric oscillator with intra-cavity pumping by semiconductor disk laser
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 27 (2019) no. 3, pp. 61-72

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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.
Keywords: optical parametric oscillator, semiconductor disk laser, nonlinear optical interaction, time delayed systems. 
@article{IVP_2019_27_3_a3,
     author = {L. A. Kochkurov and M. I. Balakin and P. V. Kuptsov and Yu. A. Morozov},
     title = {Impact of time delay on the dynamics of optical parametric oscillator with intra-cavity pumping by semiconductor disk laser},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {61--72},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2019_27_3_a3/}
}
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L. A. Kochkurov; M. I. Balakin; P. V. Kuptsov; Yu. A. Morozov. Impact of time delay on the dynamics of optical parametric oscillator with intra-cavity pumping by semiconductor disk laser. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 27 (2019) no. 3, pp. 61-72. http://geodesic.mathdoc.fr/item/IVP_2019_27_3_a3/