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Multi-transverse-mode dynamics of vertical-cavity surface-emitting lasers with external optical injection

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Abstract

The optical injection dynamics of weakly index-guided vertical-cavity surface-emitting lasers (VCSELs) under single and multiple transverse modes are studied numerically. We consider the spatial dependences of the model and eliminate the spatial variables by integrating the spatially dependent rate equations over the cross section of the VCSELs' active region. Based on the simplified equations, a visual Simulink model is established. In the single-mode case, rich dynamics are observed. In the multimode case, when all modes are injected equally they exhibit similar injection-locking behaviors; however, if only one type of these modes is injected, all modes with parallel polarization are enhanced, while the other orthogonally polarized modes are suppressed greatly. It is shown further that the frequencies of those suppressed modes cannot be locked as in the case of the enhanced modes, although there are certain frequency shifts.

© 2006 Optical Society of America

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