Parametric Resonance in a Laser with Oscillating Delayed Feedback

Abstract

Dynamics of laser with time-variable delayed feedback is analyzed in the neighborhood of the equilibrium. We obtain parameters at which the stationary generation is stable in cases of 2 : 1- and 1 : 1-resonant modulation and high-frequency modulation. Stabilization of the stationary state due to modulation of the delay can be successful (unsuccessful) in domains adjacent to super (sub-) critical Hopf bifurcation boundaries. In a vicinity of the bifurcation points, stable and unstable periodic solutions are asymptotically described in dependence on the modulation frequency.