Graduate School in Nonlinear Science

Sponsored by the Danish Research Academy

MIDIT                               OFD                           CATS
Modelling, Nonlinear Dynamics       Optics and Fluid Dynamics     Chaos and Turbulence Studies
and Irreversible Thermodynamics     Risø National Laboratory      Niels Bohr Institute and 
Technical University of Denmark     Building 128                  Department of Chemistry
Building 321                        P.O. Box 49                   University of Copenhagen 
DK-2800 Lyngby                      DK-4000 Roskilde              DK-2100 Copenhagen Ø
Denmark                             Denmark                       Denmark



by Dmitry Skryabin
Physics and Applied Physics
University of Strathclyde

Tuesday 8 June 1999 at 14:00 Hrs.
in the OFD Meeting Room Building 130
RISØ National Laboratory, 4000 Roskilde

Abstract: Using an example of cavity solitons in optical parametric oscillators (OPO) I study interplay between conservative and dissipative dynamics. It is demonstrated that Hopf instability of the dissipative solitons can be directly associated with internal modes of their conservative counterparts. The latter ones are free propagating quadratic solitons in this case. Linear stability analysis and numerical simulation also reveal multistability and complex instability induced spatio-temporal dynamics of the single- and multi-hump cavity solitons. Problem of frequency selection in OPO with nondegenerate signal and idler is also examined and it is shown that soliton excitation naturally selects strictly defined frequency difference between idler and signal fields. This frequency selection is proved to be directly linked with the relative energy balance between the idler and signal.