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Discrete vortex switching in nonlinear optical waveguides
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

In this diploma work a discrete cubic nonlinear Schrödinger equation (DNLS) is used as a model for the evolution of the electric field in a system of coupled waveguides with nonlinear index of refraction.The DNLS is inferred from Maxwell’s equations by expanding the induced charge polarization in a power series, thereby perturbing a single electromagnetic mode. The properties of the model are then derived form a stationary action principle, of particular interest is the construction of a continuity equation and thereby a power flow J between the sites. For systems with periodic boundary conditions there exist so-called vortex solutions with J circulating over the sites. Numerical experiments in the 6-site system are then carried out to investigate the behavior of the current when a vortex solution is perturbed to see whether this could result in a reversed current (vorticity). When a large perturbation was applied to a vortex solution near the limit of linear stability a "vortex breather" solution with a sinusoidally flowing current was found.

Place, publisher, year, edition, pages
2013. , 20 p.
Keyword [en]
Discrete Nonlinear Schrödinger Vortex Breather Topological Charge
National Category
Natural Sciences Atom and Molecular Physics and Optics
URN: urn:nbn:se:liu:diva-111092ISRN: LiTH-IFM-G-EX--13/2829--SEOAI: diva2:753313
Subject / course
2013-08-21, Jordan-Fermi, IFM, Linköpings universitet, Linköping, 15:15 (English)
Available from: 2014-10-15 Created: 2014-10-07 Last updated: 2014-10-15Bibliographically approved

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