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The spin-flip model describing optically pumped spin-polarizedvertical-cavity surface-emitting lasers is considered. The steady-statesolutions of the model for elliptically-polarised fields are studied.Asymptotic analysis for the existence and stability of the steady-statesolutions is developed, particularly in the presence of pump polarisationellipticity. The expansion is with respect to small parameters representing theellipticity and the difference between the total pump power and the lasingthreshold. The analytical results are then confirmed numerically, where it isobtained that generally one of the steady-state solutions is stable while theother is not. The theoretical results are shown to be in qualitative agreementwith the experiments.

The spin-flip model of spin-polarized vertical-cavity surface-emitting lasers: asymptotic analysis, numerics, and experiments