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We review three two-mode models for different semiconductor laser structures: Vertical-Cavity Surface-Emitting Lasers (VCSELs), Twin-Stripe Semiconductor-Lasers (TSSL), and Semiconductor Ring Lasers (SRL). The VCSELs model and TSSL model display rich dynamic behavior when a saturable absorber is embedded in the cavity. VCSELs with saturable absorber showed polarization chaos, which found applications in encoded communications; TSSLs with saturable absorber show coherent locked states as well as chaotic behavior; and SRLs show a complex two-mode dynamics giving rise to bidirectional operation, alternate oscillations and spontaneous symmetry breaking toward quasi-unidirectional bistable solutions, with potential applications to all-optical switching.This work has been funded by the European Commission through VISTA HPRN-CT-2000-00034, OCCULT\udproject IST-2000-29683, COST268 action and the Ministerio de Educaci´on y Ciencia (Spain) and Feder projects\udSINFIBIO (BFM 2001-0341), CONOCE II (FIS004-00953) and TEC2005-07799-C02-01/MIC. A.S. acknowledges\udMarie Curie IF MCFI-2000-00617, and Ramon y Cajal program by MCyT.Peer reviewe

Two-mode dynamics in different semiconductor laser structures