Numerical studies of nonlinear processes in Light Filaments

The study of filamentation and the processes associated with it is currently a very active area of research in the nonlinear optics community. The formation of a light filament allows self-guided propagation of high intensity laser light over long distances. Within a filament, several nonlinear interactions can occur including stimulated Raman scattering, and nonlinear wave mixing. To better understand them, careful numerical studies capable of dealing with numerous processes at different spatial, temporal and frequency scales are necessary.;In this dissertation we will derive sets of normalized partial differential equations to model two different phenomena: interactions associated with stimulated Raman scattering and two-color filament interactions. The models highlight not only novel processes currently studied in experiments, but how one develops suitable codes for both classical and semi-classical models. This dissertation discusses the numerical methods used and presents results of simulations guided by experimental considerations.