Physics Commons^™

A Mathematical Model Of The Dynamics Of An Optically Pumped Codoped Solid State Laser System, Thomas G. Wangler

Mathematics & Statistics Theses & Dissertations

This is a study of a mathematical model for the dynamics of an optically pumped codoped solid state laser system. The model comprises five first order, nonlinear, coupled, ordinary differential equations which describe the temporal evolution of the dopant electron populations in the laser crystal as well as the photon density in the laser cavity. The analysis of the model is conducted in three parts.

First, a detailed explanation of the modeling process is given and the full set of rate equations is obtained. The model is then simplified and certain qualitative properties of the solution are obtained.

In the …

Injection Efficiency Of Bound Modes, Claudio Oliveira Egalon

Dissertations, Theses, and Masters Projects

Previous work on efficiency of light injection into the core of a fiber from a thin film and a bulk distribution of sources in the cladding, have made use of the fields of a weakly guiding fiber. This approximation simplifies the analysis of the power efficiency by introducing universal values for the eigenvalues of different fibers with same {dollar}V{dollar}-number, but can not predict accurately the behavior of the injected light into a fiber with arbitrary differences in indices of refraction. We have used the exact field solution in the expressions of the power efficiency, {dollar}P\sb{lcub}\rm eff{rcub}{dollar}, and analyzed its behavior …