A Multiple Time Scale Approach to the Stability of External Cavity Modes in the Lang-Kobayashi System Using the Limit of Large Delay

@article{Yanchuk2010AMT,
  title={A Multiple Time Scale Approach to the Stability of External Cavity Modes in the Lang-Kobayashi System Using the Limit of Large Delay},
  author={Serhiy Yanchuk and Matthias Wolfrum},
  journal={SIAM J. Applied Dynamical Systems},
  year={2010},
  volume={9},
  pages={519-535}
}
The Lang–Kobayashi model is a system of delay differential equations (DDEs) describing the dynamics of a semiconductor laser under delayed optical feedback. In this paper, we study the stability of so-called external cavity modes (ECMs), which are harmonic oscillations corresponding to stationary lasing states. We focus on experimentally relevant situations, when the delay is large compared to the internal time scales of the laser. In this case, both the number of ECMs and the number of… CONTINUE READING
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