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The properties of a dual-frequency vertical external cavity surface emittinglaser (VECSEL), in which two linear orthogonal polarization modes areoscillating simultaneously, are theoretically investigated. We derive a modelbased on the ideas introduced by San Miguel et al. [San Miguel, Feng, andMoloney, Phys. Rev. A \textbf{52}, 1728 (1995)], taking into account the spindynamics of the carriers inside the quantum well (QW) based gain medium of thedual-frequency VECSEL. This model is shown to succeed in describing quite a fewproperties of the dual-frequency VECSEL, such as the behavior of nonlinearcoupling strength between the modes, the spectral behavior of intensity noisesof the modes, and also the correlation between these intensity noises. A goodagreement is found with experimental data. The variables associated with thespin dependent carrier dynamics can be adiabatically eliminated due to theclass-A dynamical behavior of the considered laser which is based on a cm-longexternal cavity. This leads to a simple analytical description of the dynamicsof the dual-frequency VECSEL providing a better understanding of the physicsinvolved

Influence of spin dependent carrier dynamics on the properties of a dual-frequency vertical-external-cavity surface-emitting laser (VECSEL)