Space-Time Dynamics of High-Q Optical Resonators

Abstract

We consider high-Q resonators subjected to an optical injection. We focus on the formation of stationary dissipative periodic and localized structures by using the well-known Lugiato-Lefever equation. We construct their bifurcation diagrams in the case of homogeneous injection in a three-dimensional setting where the transport process is provided by 2D diffraction and 1D dispersion. After discussing the mechanism of formation of an aperiodic but localized state, we investigate the effect of the inhomogeneity on the formation of localized structures. In the regime of small but positive inhomogeneity, a significant increase of the single localized peak stability domain is observed. We have also investigated the case of a negative inhomogeneity and constructed the bifurcation diagrams.