Dynamics of two-level laser models with cavity loss modulation and delayed feedback

Year: 2023

Authors: Meucci R., Llibre J., Pugliese E., Ginoux J.M.

Autors Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona; Aix Marseille Univ, Université de Toulon; CNR-INO

Abstract: In 1982, Arecchi et al. [Phys. Rev. Lett. 49, 1217 (1982)] proposed a simple two-level laser model to interpret the
first evidence of chaos and generalized multistability in a Q-switched CO2 laser. In this framework, laser dynamics
is described by means of a set of two ordinary differential equations for the photon number and the population
inversion between the two resonant levels. A sinusoidal function accounts for cavity loss modulation. In this work,
we first prove the existence of a periodic orbit for the original two-level non-autonomous laser. Then, we transform this model into a four-dimensional autonomous dynamical system to provide a mathematical analysis that
confirms the seminal results already obtained. Finally, by replacing the sinusoidal loss modulation with a delayed
function of photon number, we confirm the occurrence of chaos and multistability for such a delayed model with
delay times of the order of the reciprocal of the modulation frequencies.


Volume: 40      Pages from: 2114  to: 2121

KeyWords: Laser models,
DOI: 10.1364/JOSAB.493375

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