Pré-Publication, Document De Travail Année : 2025

Theoretical investigations of Soliton solutions to the Lugiato-Lefever equation for Fabry-Perot resonators

Résumé

We investigate existence of Soliton solutions to a variant of the Lugiato-Lefever equation (LLE) that describes wave propagation in Fabry-Perot (FP) resonators in the context of Kerr frequency comb generation. We first study conditions at which the FP-LLE, when damping is neglected, admits Soliton solutions and we provide an analytical expression for the Solitons. Then, we use a numerical continuation method to look for Solitons when the damping value is non-zero, which is the standard situation.

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hal-05158764 , version 1 (11-07-2025)

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  • HAL Id : hal-05158764 , version 1

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Mouhamad Al Sayed Ali, Stéphane Balac, Germain Bourcier, Gabriel Caloz, Arnaud Fernandez, et al.. Theoretical investigations of Soliton solutions to the Lugiato-Lefever equation for Fabry-Perot resonators. 2025. ⟨hal-05158764⟩
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