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dc.contributor.authorSukhinin, Alexey
dc.date.accessioned2012-02-01T18:37:35Z
dc.date.available2012-02-01T18:37:35Z
dc.date.issued2012-02-01
dc.date.submittedDecember 2011
dc.identifier.urihttp://hdl.handle.net/1928/17508
dc.description.abstractThe goal of this dissertation is to investigate the propagation of ultrashort high intensity UV laser pulses of order of nanoseconds in atmosphere. It is believed that they have a potential for stable and diffractionless propagation over the extended distances. Consequently, it creates a new array of applications in areas of communication, sensing, energy transportation and others. The theoretical model derived from Maxwell's equations represents unidirectional envelope propagation and plasma creation equations. It was shown numerically through Newton's iterations that the stationary model permits the localized fundamental and vortex solutions. Discussion of the stability of steady states involves different approaches and their limitations. Finally, model equations are integrated numerically to study the dynamics of the beams in the stationary model as well as nanosecond pulses in the full (3+1)D model using parallel computation.en_US
dc.language.isoen_USen_US
dc.subjectUV filaments, vorticesen_US
dc.subjectmodulational instabilityen_US
dc.subjectVakhitov-Kolokoloven_US
dc.subjectnanosecond UV pulsesen_US
dc.subject.lcshLaser pulses, Ultrashort--Mathematical models.
dc.subject.lcshHigh power lasers--Mathematical models.
dc.subject.lcshUltraviolet radiation--mathematical models.
dc.titlePropagation of intense UV filaments and vortices.en_US
dc.typeDissertationen_US
dc.description.degreeApplied Mathematicsen_US
dc.description.levelDoctoralen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorAceves, Alejandro
dc.description.committee-memberDiels, Jean-Claude
dc.description.committee-memberLau, Stephen
dc.description.committee-memberLushnikov, Pavel


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