Scaling laws for localized pattern formation in optical bistability

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1998 EDP Sciences
, , Citation M. Tlidi and P. Mandel 1998 EPL 44 449 DOI 10.1209/epl/i1998-00492-x

0295-5075/44/4/449

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.

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10.1209/epl/i1998-00492-x