Keywords
Optics, filamentation, diffractionless, wave propagation
Abstract
The aim of this thesis is to introduce my work which has generally been focused on optical wavefronts that have the unusual property of resisting commonplace phenomena such as diffraction and dispersion. Interestingly, these special beams are found both in linear and nonlinear situations. For example, in the linear regime, localized spatio-temporal waves which resemble the spherical harmonic symmetries of the hydrogen quantum orbitals can simultaneously negotiate both diffractive and dispersive effects. In the nonlinear regime, dressed optical filaments can be arranged to propagate multi-photon produced plasma channels orders of magnitude longer than expected. The first portion of this dissertation will begin by surveying the history of diffraction-free beams and introducing some of their mathematical treatments. Interjected throughout this discussion will be several relevant concepts which I explored during my first years a CREOL. The discussion will then be steered into a detailed account of diffraction/dispersion free wavefronts which display hydrogen-like symmetries. The second segment of the document will cover the highly nonlinear process of optical filamentation. This chapter will almost entirely investigate the idea of the dressed filament, an entity which allows for substantial prolongation of this light string. I will then conclude by delving into the topic of supercontinuum generation in parabolic multimode fibers which, in the upcoming years, has great potential of becoming important in optics.
Notes
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Graduation Date
2015
Semester
Fall
Advisor
Christodoulides, Demetrios
Degree
Doctor of Philosophy (Ph.D.)
College
College of Optics and Photonics
Department
Optics and Photonics
Degree Program
Optics and Photonics
Format
application/pdf
Identifier
CFE0005977
URL
http://purl.fcla.edu/fcla/etd/CFE0005977
Language
English
Release Date
December 2015
Length of Campus-only Access
None
Access Status
Doctoral Dissertation (Open Access)
Subjects
Dissertations, Academic -- Optics and Photonics; Optics and Photonics -- Dissertations, Academic
STARS Citation
Mills, Matthew, "Optical Propagation of Self-sustaining Wavefronts and Nonlinear Dynamics in Parabolic Multimode Fibers" (2015). Electronic Theses and Dissertations. 1388.
https://stars.library.ucf.edu/etd/1388