Nonlinear Dynamics in Semiconductor Lasers - Abstract
Tabbert, Felix
We theoretically investigate the formation of localized structures (cavity solitons) in the transversal plane of optical cavities and their destabilization by means of time-delayed feedback control. We show that the induced dynamics are massively influenced by considering even small spatial inhomogeneities in e.g. the optical injection or other system parameters. We show that these inhomogeneities can have a pinning effect on cavity solitons and analyze the attracting potential both analytically and numerically, deploying direct numerical simulations, a linear stability analysis and numerical continuation techniques. We also show, that the interplay between attracting inhomogeneities and destabilizing delay is a general property of cavity solitons and does not depend on the concrete mathematical system under consideration.