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Stability of self-pulsing due to Hopf bifurcation in semiconductor lasers

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1 Author(s)
Shore, K.A. ; Dept. of Electrical Engineering and Electronics, Univ. of Liverpool, Brownlow Hill, Liverpool, England

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.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:21 ,  Issue: 8 )

Date of Publication:

Aug 1985

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