Term of Award

Spring 1993

Degree Name

Master of Science in Applied Mathematics

Document Type and Release Option

Thesis (restricted to Georgia Southern)


Department of Mathematics

Committee Chair

Lila Roberts

Committee Member 1

Martha Abell

Committee Member 2

Stuart Davidson


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.

OCLC Number



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