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Filamentation commonly occurs in broad area semiconductor laser due to two intinsic mechanisms: carrier-induced index change and intensity-induced index change. In this thesis, we investigate the effects of thesetwo mechanisms to the formation of filaments in semiconductor lasers theoretically. The theoretical model is derived thoroughly and two numericalmethods are used to calculate it, and they are 2-D Beam Propagation Method and 1-D Nonlinear Eigen-Equation method. The results show that when the magnitude of the carrier density and electric field intensity existing inside the laser cavity are higher, smaller stripe width is needed for the lasers to avoid occurring filamentation. Furthermore, unsymmetry laserstructure will be lower down the critical stripe width of the lasers. Finally, our results suggest the possibility of obtaining large stripe width semiconductor laser diodes (50um) without filamentation by using compensation between these two mechanisms.
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