Supercontinuum optimization for dual-soliton based light sources using genetic algorithms in a grid platform

© 2014 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibitedWe present a numerical strategy to design fiber based dual pulse light sources exhibiting two predefined spectral peaks in the anomalous group velocity dispersion regime. The frequency conversion is based on the soliton fission and soliton self-frequency shift occurring during super- continuum generation. The optimization process is carried out by a genetic algorithm that provides the optimum input pulse parameters: wavelength, temporal width and peak power. This algorithm is implemented in a Grid platform in order to take advantage of distributed computing. These results are useful for optical coherence tomography applications where bell-shaped pulses located in the second near-infrared window are needed.F. R. A. S. thanks the Consejo Nacional de Ciencia y Tecnologia (CONACyT). F. R. A. S. and M. T. C. acknowledge partial funding provided by the projects CONCyTEG (GTO-2012-C03-195247) and DAIP-UG 382/2014. I. T. G. acknowledges CONACyT for partial support, project: 106764 (CB-2008-1). The work of A. F. was supported by the MINECO under Grant No. TEC2010-15327. C. M. thanks Dr. Miguel Arevalillo Herraez for details on GAs. F. R. A. S thanks Dr. Daniel Ceballos for providing the numerical data for the fiber dispersion.Arteaga Sierra, FR.; Milián Enrique, C.; Torres-Gómez, I.; Torres-Cisneros, M.; Moltó, G.; Ferrando Cogollos, A. (2014). Supercontinuum optimization for dual-soliton based light sources using genetic algorithms in a grid platform. Optics Express. 22(19):23686-23693. https://doi.org/10.1364/OE.22.023686S23686236932219Gordon, J. P. (1986). Theory of the soliton self-frequency shift. Optics Letters, 11(10), 662. doi:10.1364/ol.11.000662Mitschke, F. M., & Mollenauer, L. F. 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Topological confinement in QCD2

In two dimensional SU(N) theories confinement can be understood as a topological property of the vacuum. In the bosonized version of two dimensional theories no trivial boundary conditions (topology) play a crucial role. They are inevitable if one wants to describe non singlet states. In abelian bosonization, color is the charge of a topological current in terms of a non-linear meson field. We show that cofinement appears as the dynamical collapse of the topology associated with its non trivial boundary conditions.Vento Torres, Vicente, [email protected]

Symmetry, winding number, and topological charge of vortex solitons in discrete-symmetry media

[EN] We determine the functional behavior near the discrete rotational symmetry axis of discrete vortices of the nonlinear Schrodinger equation. We show that these solutions present a central phase singularity whose charge is restricted by symmetry arguments. Consequently, we demonstrate that the existence of high-charged discrete vortices is related to the presence of other off-axis phase singularities, whose positions and charges are also restricted by symmetry arguments. To illustrate our theoretical results, we offer two numerical examples of high-charged discrete vortices in photonic crystal fibers showing hexagonal discrete rotational invarianceThis work was supported by Ministerio de Educacion y Ciencia of Spain (Project Nos. TIN2006-12890, FIS2005-01189, and GV2008-032) and Generalitat Valenciana (Contract No. APOSTD/2007/052 granted to MZG). S. S. is thankful to Generalitat Valenciana for a visiting grant to Universitat de Valencia, where part of this work was done.Garcia March, MA.; Ferrando Cogollos, A.; Zacarés González, M.; Sahu, S.; Ceballos Herrera, DE. (2009). Symmetry, winding number, and topological charge of vortex solitons in discrete-symmetry media. Physical Review A. 79(5):1-6. https://doi.org/10.1103/PhysRevA.79.053820S1679