Phase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theory

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dc.contributor.authorSockell, Michael Ellioten
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2021-10-26T20:09:51Zen
dc.date.available2021-10-26T20:09:51Zen
dc.date.issued1983en
dc.description.abstractA phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, <sup>7/8</sup> is used to examine in detail three types of one-dimensional canonic dispersive media: cubic, quintic and sinusoidal. The analysis is also carried out using standard Fourier techniques for comparison purposes. Lastly, a link is made between the wave-kinetic method and integrals appearing in catastrophe theory. <sup>10/11</sup>en
dc.description.degreeM.S.en
dc.format.extentvii, 138 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/106023en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 10789801en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1983.S623en
dc.subject.lcshCatastrophes (Mathematics)en
dc.subject.lcshWave-motion, Theory ofen
dc.titlePhase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theoryen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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