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Surface solitons in quasiperiodic nonlinear photonic lattices

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2012-01-04
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Martínez, Alejandro J.
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Surface solitons in quasiperiodic nonlinear photonic lattices
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Author
  • Martínez, Alejandro J.;
  • Molina Gálvez, Mario;
Abstract
We study discrete surface solitons in semi-infinite, one-dimensional, nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and Aubry-Andre types, and explore different families of localized surface modes, as a function of optical power content ("nonlinearity") and quasiperiodic strength ("disorder"). We find a strong asymmetry in the power content of the mode as a function of the propagation constant, between the cases of focusing and defocusing nonlinearity, in both models. We also examine the dynamical evolution of a completely localized initial excitation at the array surface. We find that, in general, for a given optical power, a smaller quasiperiodic strength is required to effect localization at the surface than in the bulk. Also, for fixed quasiperiodic strength, a smaller optical power is needed to localize the excitation at the edge than inside the bulk.
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FONDECYT 1080374 1070897 Programa de Financiamiento Basal de CONICYT FB0824/2008
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URI: https://repositorio.uchile.cl/handle/2250/119507
DOI: DOI: 10.1103/PhysRevA.85.013807
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PHYSICAL REVIEW A Volume: 85 Issue: 1 Article Number: 013807 Published: JAN 4 2012
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