Two-dimensional phase-space analysis and bifurcation study of the dynamical behavior of a semiconductor ring laser

A basic rate equation model of a quantum-well semiconductor ring laser is reduced to two
equations by using asymptotic methods. The reduced model allows for analytical expressions of
the bifurcation points, which will simplify future model parameter estimations. The new equations
allow for a two-dimensional phase-space description of the time-periodic solutions. An analysis
of the bifurcation scenarios in different parameter regimes is pursued. Physical conditions for the
emergence of the operating regimes are assessed quantitatively in terms of saturation processes and
backscattering mechanisms.