Nonlinear localized modes in waveguide bends

Yuri S. Kivshar; Panayotis G. Kevrekidis; Shozo Takeno

doi:10.1016/S0375-9601(02)01768-1

Nonlinear localized modes in waveguide bends

Yuri S. Kivshar^*, Panayotis G. Kevrekidis, Shozo Takeno

^*Corresponding author for this work

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

31 Citations (Scopus)

Abstract

Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schrödinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of nonlinear bend modes.

Original language	English
Pages (from-to)	287-291
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	307
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(02)01768-1
Publication status	Published - 10 Feb 2003

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10.1016/S0375-9601(02)01768-1

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title = "Nonlinear localized modes in waveguide bends",

abstract = "Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schr{\"o}dinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of nonlinear bend modes.",

author = "Kivshar, \{Yuri S.\} and Kevrekidis, \{Panayotis G.\} and Shozo Takeno",

year = "2003",

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doi = "10.1016/S0375-9601(02)01768-1",

language = "English",

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T1 - Nonlinear localized modes in waveguide bends

AU - Kivshar, Yuri S.

AU - Kevrekidis, Panayotis G.

AU - Takeno, Shozo

PY - 2003/2/10

Y1 - 2003/2/10

N2 - Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schrödinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of nonlinear bend modes.

AB - Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schrödinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of nonlinear bend modes.

UR - https://www.scopus.com/pages/publications/0037429137

U2 - 10.1016/S0375-9601(02)01768-1

DO - 10.1016/S0375-9601(02)01768-1

M3 - Article

SN - 0375-9601

VL - 307

SP - 287

EP - 291

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Nonlinear localized modes in waveguide bends

Abstract

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