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 John A. Burns Committee Chair Eugene M. Cliff Committee Co-Chair Belinda King Committee Member George Hagedorn Committee Member Jeff Borggaard Committee Member Robert Rogers 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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