Term of Award
Spring 1993
Degree Name
Master of Science in Applied Mathematics
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department
Department of Mathematics
Committee Chair
Lila Roberts
Committee Member 1
Martha Abell
Committee Member 2
Stuart Davidson
Abstract
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.
Copyright
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Recommended Citation
Sheppard, Donna Maree, "Dynamics in a Four-Level Laser System" (1993). Legacy ETDs. 462.
https://digitalcommons.georgiasouthern.edu/etd_legacy/462
