Modelling light wave propagation and interaction and dynamical regimes analysis using the Lyapunov exponents method in ring fibre cavities. (1st February 2023)

• Record Type: Journal Article
• Authors: Razukov, V A; Melnikov, L A; Kuptsov, P V; Gochelashvili, K S
• Is Part Of: Laser physics. Volume 33:Number 2(2023)
• Publication Date: 2023-02-01
• Subjects: fibre cavity -- ring microcavity -- transport equations -- nonlinear resonance -- solitons -- optical frequency combs -- lyapunov exponents; Lasers -- Periodicals; 621.36605
• DOI: 10.1088/1555-6611/acaea1
• Languages: English
• ISSNs: 1054-660X

Abstract

Abstract: The 'Cabaret' finite differences method allows the performance of fast and conclusive modelling of the microcavity temporal dynamics with group velocity dispersion, cross- and self- phase modulation included. The proposed scheme and model allow us to study the dynamics of a cavity with two counter-propagating pulses, second order dispersion, modulation instability, Rayleigh scattering and other effects along the cavity roundtrips number up to 10 6…7 . The possibility of Lyapunov exponents mapping for the Raman and SBS fibre lasers and cavities is discussed.