Publication Date

2-1-2012

Abstract

The 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.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Alejandro Aceves

Second Committee Member

Jean-Claude Diels

Third Committee Member

Stephen Lau

Fourth Committee Member

Pavel Lushnikov

Language

English

Keywords

Laser pulses, Ultrashort--Mathematical models, High power lasers--Mathematical models, Ultraviolet radiation--mathematical models.

Document Type

Dissertation

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