Abstract
We theoretically study the dynamics of temporal localized states (TLSs) and square-waves (SWs) in an injected micro-resonator enclosed into a long external cavity under continuous wave (CW) injection with amplitude Y0 and frequency ω0. Departing from former studies where only an intensity dependent refractive index (i.e. a Kerr nonlinearity in [1-3]) was used, we now consider a semiconductor quantum well as the nonlinear element (see Fig. 1) allowing for a study of the influence of the band-gap detuning with respect to the injection and the population inversion time scale onto the dynamics.
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