Complex Dynamics Induced by Asymmetry in Coupled Laser Systems
2019, Vol. 15, no. 4, pp. 429-455
Author(s): Bountis A., Kominis Y., Shena J., Kovanis V.
Coupled semiconductor lasers are systems possessing complex dynamics, which makes them
interesting for many applications in photonics. In this paper, we first review our results on the
existence and stability of asymmetric phase-locked states of a single dimer consisting of two
coupled semiconductor lasers. We show that stable phase-locked states of arbitrary asymmetry
exist, whose field amplitude ratio and phase difference can be dynamically controlled by appropriate
electronic current injection. Moreover, we obtain stable limit cycles with asymmetric
characteristics, emerging through Hopf bifurcations from these phase-locked states. Also, we
emphasize the importance of exceptional points, and we show that asymmetry enables their existence
in extended regions of parameter space. The dynamics of asymmetric dimers under small
signal modulation of the pumping current is also investigated and the occurrence of antiresonances
and sharp resonances with very high frequencies is demonstrated. Finally, we describe
our recent findings on optically coupled arrays of coupled dimers and explore their fascinating
nonlinear dynamics. In particular, we couple in an appropriate way a large number of dimers
and show that, depending on their degree of asymmetry, they exhibit organized high amplitude
oscillations, or oscillate very close to phase-locked states, suggesting that such photonic networks
may prove useful in a variety of beam forming and beam shaping applications.
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