Term of Award
Master of Science in Applied Mathematics
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department of Mathematics
Committee Member 1
Committee Member 2
An understanding of the behavior of the dynamics in a laser system is necessary to determine whether special techniques may be needed for a desired operation of the laser. The purpose of this study is to investigate the analytic and numerical properties of the dynamic variables in a four-level laser system. The investigation of the model includes:
(1) a general description of the mathematical model of a general four-level laser system
(2) a stability analysis of the system of ordinary differential equations that comprise the model.
(3) a numerical analysis of the mathematical model.
A description of the model will be presented along with some of the analytic results and numerical results specific to Titanium doped Sapphire lasers.
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Sheppard, Donna Maree, "Dynamics in a Four-Level Laser System" (1993). Legacy ETDs. 462.