Instability analysis of semiconductor injection lasers with saturable absorption and self-sustained pulsations on the centre manifold |
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Authors: | Peter Enders |
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Institution: | (1) Akademie der Wissenschaften der DDR, Zentralinstitut für Optik und Spektroskopie, 1199 Berlin, GDR |
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Abstract: | The small-signal analysis of a simple model of three rate equations is performed rigorously by means of both the Routh-Hurwitz theorem and Descartes' sign rule, and the relationship between bistable behaviour and self-sustained pulsations (SSPs) is investigated. Because one eigenvalue of the Jacobian of the model system is always negative, small-amplitude, sinusoidal SSPs can be described in terms of Haken's dressed-mode variables on a two-dimensional centre manifold. Possible simplifications for the switching modelling are also mentioned. |
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