2024/11/24 by S. S. Sritharan, Sritharan, Sivaguru S., Saba Mudaliar +1
Engineering · #Semiconductor Lasers and Optical Devices
paper · pdf · doi:10.48550/arxiv.2411.16013
In this paper we study a large class of nonlinear stochastic wave equations that arise in laser generation models and models for propagation in random media in a unified mathematical framework. Continuous and pulse-wave propagation models, free electron laser generation models, as well as laser-plasma interaction models have been cast in a convenient and unified abstract framework as semilinear evolution equations in a Hilbert space to enable stochastic analysis. We formulate Ito calculus and white noise calculus methods of treating stochastic terms and prove existence and uniqueness of mild solutions.