https://doi.org/10.1007/s100530050326
Scaling of hysteresis in a multi-dimensional all-optical bistable system
Laboratoire de Spectroscopie Hertzienne de Lille, Centre d'Etude et de Recherches
Lasers et Applications Université des Sciences et de Technologies de Lille,
59655 Villeneuve d'Ascq Cedex, France
Received:
14
September
1998
Revised:
15
February
1999
Published online: 15 July 1999
We analyse the hysteresis enlargements of an optical bistable system involving
three dynamical variables. We investigate, both experimentally and numerically,
the local dynamics of the up- and down-switching process versus the sweeping
frequency Ω of the control parameter. In particular, we delineate the domain
of validity of the 
scaling law predicted for one-dimensional systems.
At high sweeping frequency, we show the appearance of another asymptotic
scaling low in 
. Thereafter, we analyse the global evolution of the hysteresis
loop induced by these processes. At low frequency, a scaling law is
retrieved, whereas at high frequency, the dynamical behaviour is shown to
strongly depend on the particular shape of the bistability curve.
PACS: 42.65.-k – Nonlinear optics / 42.65.Pc – Optical bistability, multistability, and switching
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
