Period-4 modulation instability in ring fiber cavities

Minji Shi; Matteo Conforti; Arnaud Mussot; Auro M. Perego

doi:10.1103/physreva.111.013513

Period-4 modulation instability in ring fiber cavities

Minji Shi, Matteo Conforti, Arnaud Mussot, Auro M. Perego

Aston Institute of Photonic Technologies (AiPT)

Research output: Contribution to journal › Article › peer-review

Abstract

We predict the existence of a period-4 temporal dynamics in the nonlinear stage of modulation instability of light inside a passive ring fiber Kerr cavity. We investigate analytically and numerically the stability of period-doubled continuous-wave solutions of the Ikeda map describing waves oscillating between two well-defined power levels at consecutive round trips. We prove that conditions exist for which spectral sidebands can be amplified leading to the formation of a temporal modulation pattern which repeats itself identically every four cavity round trips. We show that this dynamics exists for realistic parameters of a driven fiber cavity, which makes it potentially accessible to experimental observation.

Original language	English
Article number	013513
Journal	Physical Review A
Volume	111
Issue number	1
Early online date	13 Jan 2025
DOIs	https://doi.org/10.1103/physreva.111.013513
Publication status	Published - Jan 2025

Bibliographical note

This is an accepted manuscript of an article published in Physical Review A. The published version is available at: https://doi.org/10.1103/PhysRevA.111.013513

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10.1103/physreva.111.013513

M Shi et al_AAM_Phase-4 modulation instability in ring fiber cavities
This is an accepted manuscript of an article published in Physical Review A. The published version is available at: https://doi.org/10.1103/PhysRevA.111.013513
Accepted author manuscript, 1.08 MBLicence: Unspecified

Cite this

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title = "Period-4 modulation instability in ring fiber cavities",

abstract = "We predict the existence of a period-4 temporal dynamics in the nonlinear stage of modulation instability of light inside a passive ring fiber Kerr cavity. We investigate analytically and numerically the stability of period-doubled continuous-wave solutions of the Ikeda map describing waves oscillating between two well-defined power levels at consecutive round trips. We prove that conditions exist for which spectral sidebands can be amplified leading to the formation of a temporal modulation pattern which repeats itself identically every four cavity round trips. We show that this dynamics exists for realistic parameters of a driven fiber cavity, which makes it potentially accessible to experimental observation.",

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AU - Mussot, Arnaud

AU - Perego, Auro M.

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N2 - We predict the existence of a period-4 temporal dynamics in the nonlinear stage of modulation instability of light inside a passive ring fiber Kerr cavity. We investigate analytically and numerically the stability of period-doubled continuous-wave solutions of the Ikeda map describing waves oscillating between two well-defined power levels at consecutive round trips. We prove that conditions exist for which spectral sidebands can be amplified leading to the formation of a temporal modulation pattern which repeats itself identically every four cavity round trips. We show that this dynamics exists for realistic parameters of a driven fiber cavity, which makes it potentially accessible to experimental observation.

AB - We predict the existence of a period-4 temporal dynamics in the nonlinear stage of modulation instability of light inside a passive ring fiber Kerr cavity. We investigate analytically and numerically the stability of period-doubled continuous-wave solutions of the Ikeda map describing waves oscillating between two well-defined power levels at consecutive round trips. We prove that conditions exist for which spectral sidebands can be amplified leading to the formation of a temporal modulation pattern which repeats itself identically every four cavity round trips. We show that this dynamics exists for realistic parameters of a driven fiber cavity, which makes it potentially accessible to experimental observation.

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JO - Physical Review A

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Period-4 modulation instability in ring fiber cavities

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