Nonlinear dynamics of trapped beams [Elektronische Ressource] / von Stefan Skupin

Nonlinear Dynamics of Trapped BeamsDissertationzur Erlangung des akademischen Gradesdoctor rerum naturalium (Dr. rer. nat.)vorgelegt dem Rat derPhysikalisch-Astronomischen Fakult atder Friedrich-Schiller-Universit at JenavonDiplomphysiker Stefan Skupingeboren am 8. Mai 1976 in Dusseldorf?Gutachter1.2.3.Tag der letzten Rigorosumsprufung:?Tag der offen? tlichen Verteidigung:Contents1. Introduction 12. Modeling the propagation of trapped beams 62.1. Beam propagation in a weak-guiding nonlinear optical waveguide . . . 82.2. Femtosecond pulsed beam propagation in air . . . . . . . . . . . . . . . 113. Beams in a nonlinear optical waveguide 203.1. Stability of weakly nonlinear linearly guided beams . . . . . . . . . . . 213.1.1. Linear modes and nonlinear bound states . . . . . . . . . . . . . 223.1.2. Stability analysis of bound states . . . . . . . . . . . . 233.1.3.y criterion for low-power bound states . . . . . . . . . . 283.1.4. Numerical results . . . . . . . . . . . . . . . . . . . . . . . . . . 323.2. Influence of the waveguide on highly nonlinear collapsing beams . . . . 353.2.1. Collapse in the two dimensional Nonlinear Schr odinger Equation 373.2.2. behavior in the presence of a waveguide . . . . . . . . 403.2.3. Numerical results . . . . . . . . . . . . . . . . . . . . . . . . . . 424. High-intense femtosecond pulsed beams in air 454.1. Dynamics of a single filaments . . . . . . . . . . . . . . . . . . . . . . . 474.1.1.