Scaling laws for localized pattern formation in optical bistability
Optique Nonlinéaire Théorique, Campus Plaine Code Postal 231, Université Libre de Bruxelles - B-1050 Bruxelles, Belgium
Accepted: 22 September 1998
We study the kinetics of transverse pattern formation in a passive ring cavity containing two-level atoms. Parameters are chosen such that the Turing instabilities are on the upper and lower branches of a bistable domain and close to the limit points, so that the interaction between the long-wavelength modes includes the homogeneous mode. This leads to the formation of a localized structure which connects the two stable branches of the homogeneous bistable solution. The kinetics of this pattern formation is described by simple scaling laws.
PACS: 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 42.65.Pc – Optical bistability, multistability, and switching / 42.60.Mi – Dynamical laser instabilities; noisy laser behavior
© EDP Sciences, 1998