Modeling and Numerical Approximations of Optical Activity in the Chemical Oxygen-Iodine Laser

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dc.contributor.authorCamphouse, R. Chrisen
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeecochairCliff, Eugene M.en
dc.contributor.committeememberRogers, Robert C.en
dc.contributor.committeememberKing, Belinda B.en
dc.contributor.committeememberBorggaard, Jeffrey T.en
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:15:08Zen
dc.date.adate2001-08-15en
dc.date.available2014-03-14T20:15:08Zen
dc.date.issued2001-07-10en
dc.date.rdate2002-08-15en
dc.date.sdate2001-08-13en
dc.description.abstractThe 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-08132001-112248en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-08132001-112248/en
dc.identifier.urihttp://hdl.handle.net/10919/28640en
dc.publisherVirginia Techen
dc.relation.haspartetd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNumerical Techniquesen
dc.subjectCrank-Nicholsonen
dc.titleModeling and Numerical Approximations of Optical Activity in the Chemical Oxygen-Iodine Laseren
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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