Oscillating Turing Rolls as Periodic Orbits of the Lugiato-Lefever Equation

The Lugiato-Lefever equation (LLE) is a fundamental nonlinear model of pattern formation in damped-driven optical Kerr cavities with applications ranging from fiber to chip-integrated optical resonators. In standard dimensionless form the LLE describes dynamics of the intracavity field <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\Psi(\theta, \tau)$</tex> as follows,

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Published
2025-06-23
DOI
https://doi.org/10.1109/cleo/europe-eqec65582.2025.11111134
Primary Topic
Advanced Fiber Laser Technologies
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article
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article

Oscillating Turing Rolls as Periodic Orbits of the Lugiato-Lefever Equation

Andrey Gelash, Shivraj D. Deshmukh, Tobias J. Kippenberg, Tobias M. Schneider et al.
Advanced Fiber Laser Technologies
article

Oscillating Turing Rolls as Periodic Orbits of the Lugiato-Lefever Equation

Andrey Gelash, Shivraj D. Deshmukh, Tobias J. Kippenberg, Tobias M. Schneider, Andrey Shusharin
article en

Abstract

The Lugiato-Lefever equation (LLE) is a fundamental nonlinear model of pattern formation in damped-driven optical Kerr cavities with applications ranging from fiber to chip-integrated optical resonators. In standard dimensionless form the LLE describes dynamics of the intracavity field <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\Psi(\theta, \tau)$</tex> as follows,

École Polytechnique Fédérale de Lausanne (CH)
Openalex Percentile: Top 83%
Advanced Fiber Laser Technologies
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