Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910569371533312 |
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| author | Hizanidis, Johanne Makris, Konstantinos G. |
| author_facet | Hizanidis, Johanne Makris, Konstantinos G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings Hizanidis, Johanne Makris, Konstantinos G. Optics Chaotic Dynamics 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. |
| title | Nonlinear dynamics and chaos in dissipative optical trimers with complex couplings |
| topic | Optics Chaotic Dynamics |
| url | https://arxiv.org/abs/2408.09154 |