A stochastic nonlinear model of the dynamics of actively Q-switched lasers
Abstract
In this paper, we present a novel stochastic and spatially lumped multi-mode model to describe the nonlinear dynamics of actively Q-switched lasers and random perturbations due to amplified spontaneous emission. This model will serve as a basis for the design of (nonlinear) control and estimation strategies and thus a high value is set on its computational efficiency. Therefore, a common traveling-wave model is chosen as a starting point and a number of model-order reduction steps are performed. As a result, a set of nonlinear ordinary differential equations for the dynamic behavior of the laser during a switching cycle is obtained. A semi-analytic solution of these differential equations yields expressions for the population inversion after a switching cycle and for the output energy, which are then used to formulate a nonlinear discrete-time model for the pulse-to-pulse dynamics. Simulation studies including models with different levels of complexity and first experimental results demonstrate the feasibility of the proposed approach.
Keywords
Cite
@article{arxiv.2205.08460,
title = {A stochastic nonlinear model of the dynamics of actively Q-switched lasers},
author = {Lukas Tarra and Andreas Deutschmann-Olek and Vinzenz Stummer and Tobias Flöry and Andrius Baltuska and Andreas Kugi},
journal= {arXiv preprint arXiv:2205.08460},
year = {2022}
}