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dc.contributor.advisorZiolkowski, Richard W.en_US
dc.contributor.authorJudkins, Justin Boyd, 1967-
dc.creatorJudkins, Justin Boyd, 1967-en_US
dc.date.accessioned2013-05-16T09:21:13Z
dc.date.available2013-05-16T09:21:13Z
dc.date.issued1992en_US
dc.identifier.urihttp://hdl.handle.net/10150/291350
dc.description.abstractA modified finite-difference time-domain method for solving Maxwell's equations in nonlinear media is presented. This method allows for a finite response time to be incorporated in the medium, physically creating dispersion and absorbtion mechanisms. Our technique models electromagnetic fields in two space dimensions and time, and encompasses both the TEz and TMz set of decoupled field equations. Aspects of an ultra-short pulsed Gaussian beam are studied in a variety of linear and nonlinear environments to demonstrate that the methods developed here can be used efficaciously in the modeling of pulses in complex problem space geometries even when nonlinearities are present.
dc.language.isoen_USen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectEngineering, Electronics and Electrical.en_US
dc.titleNonlinear self-focus of pulsed-wave beams in Kerr mediaen_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.levelmastersen_US
dc.identifier.proquest1351364en_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineElectrical and Computer Engineeringen_US
thesis.degree.nameM.S.en_US
dc.identifier.bibrecord.b26868210en_US
refterms.dateFOA2018-06-18T09:29:16Z
html.description.abstractA modified finite-difference time-domain method for solving Maxwell's equations in nonlinear media is presented. This method allows for a finite response time to be incorporated in the medium, physically creating dispersion and absorbtion mechanisms. Our technique models electromagnetic fields in two space dimensions and time, and encompasses both the TEz and TMz set of decoupled field equations. Aspects of an ultra-short pulsed Gaussian beam are studied in a variety of linear and nonlinear environments to demonstrate that the methods developed here can be used efficaciously in the modeling of pulses in complex problem space geometries even when nonlinearities are present.


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