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2013 | OriginalPaper | Buchkapitel

Spontaneous Symmetry Breaking of Pinned Modes in Nonlinear Gratings with an Embedded Pair of Defects

verfasst von : I. V. Kabakova, I. Uddin, J. Jeyaratnam, C. M. de Sterke, B. A. Malomed

Erschienen in: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Verlag: Springer Berlin Heidelberg

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Abstract

We consider spontaneous symmetry breaking (SSB) in nonlinear periodic structures with two embedded identical defects. We focus on Bragg grating (BGs) in which the defects are formed by local phase shifts. The defects are positioned relatively close to each other, so as to allow the light to couple between them. At low optical energies, i.e., in the linear regime, this system supports two symmetric eigenstates, which have identical intensity distributions but different frequencies. At higher energies, the lower-frequency state becomes unstable against symmetry-breaking perturbations, and the light gets predominantly trapped by one of the defects, leading to an asymmetric field distribution. We analyze the SSB effect for different coupling strengths and conclude that, quite naturally, the symmetry-breaking energy threshold increases with the strength. The symmetric state is stable below the SSB threshold, while the emerging asymmetric mode is stable above the threshold.

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Titel: Spontaneous Symmetry Breaking of Pinned Modes in Nonlinear Gratings with an Embedded Pair of Defects
verfasst von: I. V. Kabakova
I. Uddin
J. Jeyaratnam
C. M. de Sterke
B. A. Malomed
Verlag: Springer Berlin Heidelberg
Buch: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations
Print ISBN: 978-3-642-21206-2

Electronic ISBN: 978-3-642-21207-9

Copyright-Jahr: 2013
DOI: https://doi.org/10.1007/10091_2012_22

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