Title page for ETD etd-08132001-112248


Type of Document Dissertation
Author Camphouse, R. Chris
Author's Email Address rcamphou@icam.vt.edu
URN etd-08132001-112248
Title Modeling and Numerical Approximations of Optical Activity in the Chemical Oxygen-Iodine Laser
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A. Committee Chair
Cliff, Eugene M. Committee Co-Chair
Borggaard, Jeffrey T. Committee Member
Hagedorn, George A. Committee Member
King, Belinda B. Committee Member
Rogers, Robert C. Committee Member
Keywords
  • Numerical Techniques
  • Crank-Nicholson
Date of Defense 2001-07-10
Availability unrestricted
Abstract
The chemical oxygen-iodine laser (COIL) has several important military and industrial applications. The concern of this work is do develop a partial differential equation model describing optical behavior in the COIL. Optical behavior of the COIL has traditionally been investigated via a ray tracing method. Photons are represented as discrete particles, and their behavior is described by the geometry of the system. We develop an optical model wherein photons have a wave description. In order to construct the mathematical model, we utilize the theory of paraxial wave optics and Gaussian beams. Doing so allows us to incorporate physical effects such as diffusion/diffraction and refraction into the model. After describing the optical model, we present numerical methods for obtaining approximate solutions to the model in the cases of one and two transverse directions. Results are presented illustrating the efficacy of the numerical methods.
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