Desynchronization of temporal solitons in Kerr cavities with pulsed injection

D. A. Dolinina; G. Huyet; D. Turaev; A. G. Vladimirov

doi:10.1364/OL.529083

Desynchronization of temporal solitons in Kerr cavities with pulsed injection

D. A. Dolinina, G. Huyet, D. Turaev, A. G. Vladimirov

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2 Scopus citations

Abstract

A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato–Lefever equation (LLE). The results suggest that desynchronization typically occurs through an Andronov–Hopf (AH) bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.

Original language	English
Pages (from-to)	4050-4053
Number of pages	4
Journal	Optics Letters
Volume	49
Issue number	14
DOIs	https://doi.org/10.1364/OL.529083
State	Published - 15 Jul 2024
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1364/OL.529083

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abstract = "A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato–Lefever equation (LLE). The results suggest that desynchronization typically occurs through an Andronov–Hopf (AH) bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.",

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AU - Dolinina, D. A.

AU - Huyet, G.

AU - Turaev, D.

AU - Vladimirov, A. G.

PY - 2024/7/15

Y1 - 2024/7/15

N2 - A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato–Lefever equation (LLE). The results suggest that desynchronization typically occurs through an Andronov–Hopf (AH) bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.

AB - A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato–Lefever equation (LLE). The results suggest that desynchronization typically occurs through an Andronov–Hopf (AH) bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.

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Desynchronization of temporal solitons in Kerr cavities with pulsed injection

Abstract

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