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arXiv · 2408.09154

Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings

Johanne Hizanidis·Konstantinos G. Makris
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Abstract

In the context of non-Hermitian photonics, we consider a nonlinear optical trimer with three lossy waveguides with complex couplings. This non-Hermitian trimer exhibits stable stationary and oscillatory regimes in a wide range of values of the coupling-loss parameters. Moreover, chaotic dynamics through period-doubling is confirmed via Lyapunov exponent measurements and the underlying bifurcation structure is found by semi-analytical continuation of solutions. The interplay of chaos, due to Kerr nonlinearity, and non-Hermiticity, due to the combined dissipation and complex coupling, provides a different perspective in the area of nonlinear and non-Hermitian optics.

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Johanne Hizanidis, Konstantinos G. Makris. 2024-08-17. Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings. https://arxiv.org/abs/2408.09154

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