ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kochkurov L. A., Balakin M. I., Kuptsov P. V., Morozov Y. A. Impact of time delay on the dynamics of optical parametric oscillator with intra-cavity pumping by semiconductor disk laser. Izvestiya VUZ. Applied Nonlinear Dynamics, 2019, vol. 27, iss. 3, pp. 61-72. DOI: 10.18500/0869-6632-2019-27-3-61-72

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
535.015; 535.14; 535.530; 537.86
DOI: 
10.18500/0869-6632-2019-27-3-61-72

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

Autors: 
Kochkurov Leonid Alekseevich, Yuri Gagarin State Technical University of Saratov
Balakin Maksim Igorevich, Yuri Gagarin State Technical University of Saratov
Kuptsov Pavel Vladimirovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Morozov Y. A., Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

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.

Key words: 
optical parametric oscillator
semiconductor disk laser
nonlinear optical interaction
time delayed systems
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Received: 
28.03.2019
Accepted: 
15.05.2019
Published: 
20.06.2019
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