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We develop a mesoscopic model of semiconductor dynamics for vertical-cavity surface-emitting lasers which allows\udus to describe polarization and transverse mode dynamics simultaneously. Within this model, we study the selection\udprocesses and the turn-on delay for the switch-on of di erent transverse modes in gain-guided VCSELs. We consider\uddi erent active-region diameters, excitation conditions and current shapes. Following the application of the current\udpulse, transverse modes become excited in a quite de nite sequence. After the turn-on, the VCSEL initially switcheson\udin the fundamental transverse mode, but higher-order transverse modes become excited later. In general, the\udresults obtained are in qualitative agreement with experiments reported recently. Finally, we discuss the current\udshape dependence on the transverse mode selection at threshold.This work has been funded by the European Commission through the VISTA HP-TMR network. Authors also\udacknowledge the Comisi on Interministerial de Ciencia y Tecnolog  a under project TIC98-0418-C05-02.Peer reviewe

Transverse and polarization mode selection in VCSELs