Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities

Fuente: arXiv
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Main Authors: Ivars, Salim B., Milián, Carles, Botey, Muriel, Herrero, Ramon, Staliunas, Kestutis
Format: Preprint
Published: 2024
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author Ivars, Salim B.
Milián, Carles
Botey, Muriel
Herrero, Ramon
Staliunas, Kestutis
author_facet Ivars, Salim B.
Milián, Carles
Botey, Muriel
Herrero, Ramon
Staliunas, Kestutis
contents We unveil a new scenario for the formation of dissipative localised structures in nonlinear systems. Commonly, the formation of such structures arises from the connection of a homogeneous steady state with either another homogeneous solution or a pattern. Both scenarios, typically found in cavities with normal and anomalous dispersion, respectively, exhibit unique fingerprints and particular features that characterise their behaviour. However, we show that the introduction of a periodic non-Hermitian modulation in Kerr cavities hybridises the two established soliton formation mechanisms, embodying the particular fingerprints of both. In the resulting novel scenario, the stationary states acquire a dual behaviour, playing the role that was unambiguously attributed to either homogeneous states or patterns. These fundamental findings have profound practical implications for frequency comb generation, introducing unprecedented reversible mechanisms for real-time manipulation.
format Preprint
id arxiv_https___arxiv_org_abs_2407_17978
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities
Ivars, Salim B.
Milián, Carles
Botey, Muriel
Herrero, Ramon
Staliunas, Kestutis
Optics
Pattern Formation and Solitons
We unveil a new scenario for the formation of dissipative localised structures in nonlinear systems. Commonly, the formation of such structures arises from the connection of a homogeneous steady state with either another homogeneous solution or a pattern. Both scenarios, typically found in cavities with normal and anomalous dispersion, respectively, exhibit unique fingerprints and particular features that characterise their behaviour. However, we show that the introduction of a periodic non-Hermitian modulation in Kerr cavities hybridises the two established soliton formation mechanisms, embodying the particular fingerprints of both. In the resulting novel scenario, the stationary states acquire a dual behaviour, playing the role that was unambiguously attributed to either homogeneous states or patterns. These fundamental findings have profound practical implications for frequency comb generation, introducing unprecedented reversible mechanisms for real-time manipulation.
title Hybrid patterns and solitonic frequency combs in non-Hermitian Kerr Cavities
topic Optics
Pattern Formation and Solitons
url https://arxiv.org/abs/2407.17978