Stability of self-pulsing due to Hopf bifurcation in semiconductor lasers |
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Authors: | Shore K. |
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Affiliation: | Dept. of Electrical Engineering and Electronics, Univ. of Liverpool, Brownlow Hill, Liverpool, England; |
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Abstract: | A formulation is given of the stability criterion for oscillations arising at Hopf bifurcations in semiconductor lasers. A second-order perturbation expansion is utilized to provide nonlinear rate equations for the laser. The rate equations contain terms whose second-order partial derivatives are required in the definition of stability parameters. Using these parameters, a simple statement of the stability criterion is possible. Numerical calculations are included, using typical device parameters, and show the existence of both stable and unstable Hopf oscillations. |
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