динамическая система с запаздывающим аргументом

 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 aim of the study is to analytically determine the linear stability of a steady-state operation point for an optical parametric oscillator (OPO) intracavity pumped by a semiconductor disk laser (SDL). Methods. In order to build the analytic approximation to the characteristic equation roots, the method of small-parameter expansion is used. The results of analytic and numerical methods are compared with each other. Results.