Nonlinear localized modes at phase slips in two-dimensional photonic lattices

Mario I. Molina; Yuri S. Kivshar

doi:10.1103/PhysRevA.80.063812

Nonlinear localized modes at phase slips in two-dimensional photonic lattices

Mario I. Molina, Yuri S. Kivshar

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one localized mode of this type may exist under special conditions, nonlinearity supports a variety of localized modes including the modes which bifurcate from the symmetric states and describe nonlinear asymmetric localized states. We also study the surface modes localized at the waveguide channel edges in such lattices.

Original language	English
Article number	063812
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	80
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.80.063812
Publication status	Published - 4 Dec 2009

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abstract = "We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one localized mode of this type may exist under special conditions, nonlinearity supports a variety of localized modes including the modes which bifurcate from the symmetric states and describe nonlinear asymmetric localized states. We also study the surface modes localized at the waveguide channel edges in such lattices.",

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N2 - We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one localized mode of this type may exist under special conditions, nonlinearity supports a variety of localized modes including the modes which bifurcate from the symmetric states and describe nonlinear asymmetric localized states. We also study the surface modes localized at the waveguide channel edges in such lattices.

AB - We analyze the existence and stability of nonlinear modes localized at phase-slip waveguide channels and their intersections in two-dimensional photonic lattices with rectangular symmetry. While in linear lattices only one localized mode of this type may exist under special conditions, nonlinearity supports a variety of localized modes including the modes which bifurcate from the symmetric states and describe nonlinear asymmetric localized states. We also study the surface modes localized at the waveguide channel edges in such lattices.

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Nonlinear localized modes at phase slips in two-dimensional photonic lattices

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