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


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Morozov Y. A. Intracavity optical parametric oscillator: Model of dynamic system with different values of time delay for pump and signal radiation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, vol. 29, iss. 5, pp. 727-738. DOI: 10.18500/0869-6632-2021-29-5-727-738

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
535.015; 535.14; 535.530; 537.86

Intracavity optical parametric oscillator: Model of dynamic system with different values of time delay for pump and signal radiation

Autors: 
Morozov Y. A., Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

 Most of intracavity pumped optical parametric oscillators (OPO) are made nowaday according to a scheme with a single-resonance OPO located in the cavity of a pump laser. Usually the cavities of the pump and OPO (signal) emission have different values of round-trip time (delay). Aim of the study is therefore to build up the mathematical model of intracavity optical parametric oscillator (ICOPO) considered as a time-delay dynamic system with two values of delay in both cavities (the pump and signal). Methods. The model allows to analyze the steady state (equilibrium point) of the dynamic system and its stability with the help of characteristic equation’s solution. Results. Countless set of the characteristic equation roots is shown to consist of complex-conjugate pairs with imaginary parts which are nearly multiples of intermode beat frequencies in the pump and signal cavities. The diagram of stability depending on the position of nonlinear crystal in the resonator was built on the parameter plane. Features of the plane partition into the areas of stability/instabilty vs behavior of the characteristic equation roots are examined. Discussion. The results of the study allow to consider an ICOPO as the time-delay dynamic system thus adding to the physical picture of intracavity parametric oscillators.

Acknowledgments: 
This work was carried out within the framework of the state task of Kotelnikov IREE of RAS
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Received: 
04.05.2021
Accepted: 
03.06.2021
Published: 
30.09.2021