Europhysics Letters (EPL)

Scaling laws for localized pattern formation in optical bistability

Mustapha Tlidi, Paul Mandel

Published Nov 15, 1998• 11 citations

Abstract

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.

DOI: 10.1209/epl/i1998-00492-x

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