Particlelike states in D-shaped fibers / durch Matthias Kühmayer
VerfasserKühmayer, Matthias
Begutachter / BegutachterinRotter, Stefan ; Ambichl, Philipp
ErschienenWien, 2016
Umfang83 Seiten : Illustrationen, Diagramme
HochschulschriftTechnische Universität Wien, Univ., Diplomarbeit, 2016
Schlagwörter (DE)Optische Fasern / Wellenchaos / Wellenfokussierung
Schlagwörter (EN)optical fibers / wave chaos / wavefront shaping
URNurn:nbn:at:at-ubtuw:1-2885 Persistent Identifier (URN)
 Das Werk ist frei verfügbar
Particlelike states in D-shaped fibers [46.6 mb]
Zusammenfassung (Englisch)

In this thesis we investigate the classical (particle) and wave dynamics in a three-dimensional fiber with a D-shaped cross section. Dependent on the placement of the cut the system shows regular, completely chaotic or mixed classical dynamics. Here, we are mainly interested in the latter two cases in which chaos can counteract the formation of so-called particlelike states, which are highly collimated beams. Regarding the classical dynamics we use Monte-Carlo methods to generate trajectory bundles that mimic initial wavefronts in order to achieve the best agreement with our wave simulations. In the framework of the Helmholtz equation, our search for particlelike wave states is focused on finding a new operator constructed from the transmission matrix which contains states with the desired beam-like behavior among its eigenstates. These states remain highly collimated rather than showing a fan-like spreading along their propagation through the system. The behavior of these wave states will be investigated in the spatial domain as well as in classical phase space by means of Husimi distributions, where we will also make a comparison with the results obtained by classical trajectory-bundle simulations.