Semiconductor ring lasers (SRLs) are currently being
actively investigated because of their possible applications in
photonic integrated circuits. Some SRLs exhibit bistable operation,
suggesting their possible use as e.g. all-optical memories. We have
reduced a basic rate equation model for the counter-propagating
fields in these SRLs to a two-dimensional system by applying
asymptotic techniques. Studying the deterministic and stochastic
switching properties in this reduced phase space greatly enhances our
physical understanding of the dynamical behaviour of these SRLs.
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