Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings
Optics
2024-08-20 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.2408.09154,
title = {Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings},
author = {Johanne Hizanidis and Konstantinos G. Makris},
journal= {arXiv preprint arXiv:2408.09154},
year = {2024}
}