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Guided Modes and Symmetry Breaking Supported by Localized Gain

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Book cover Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Part of the book series: Progress in Optical Science and Photonics ((POSP,volume 1))

Abstract

We review numerous physical phenomena which occur in one- and two-dimensional nonlinear media in the presence of localized gain-defects, and which recently attracted considerable attention. In particular, we discuss stable localized modes in media with linear and nonlinear dissipation; breathers which can be excited in the presence of more than one localized gain channels; vortices. We address the phenomenon of the symmetry breaking in one- and two-dimensional media, resulting in emergence of stable nonsymmetric modes, and analyze possibilities of guiding and switching of waves with help of guiding channels.

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Acknowledgements

DAZ acknowledges the grant SFRH/BPD/64835/2009 (FCT, Portugal). DAZ and VVK were supported by the FCT under the grant PEst-OE/FIS/UI0618/2011.

Author information

Authors and Affiliations

  1. ICFO-Institut de Ciencies Fotoniques, Universitat Politecnica de Catalunya, Mediterranean Technology Park, 08860, Castelldefels (Barcelona), Spain

    Yaroslav V. Kartashov

  2. Institute of Spectroscopy, Russian Academy of Sciences, Moscow Region, Troitsk, 142190, Russia

    Yaroslav V. Kartashov

  3. Centro de Física Teórica e Computacional, and Departamento de Física, Faculdade de Ciéncias, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa, 1649-003, Portugal

    Vladimir V. Konotop

  4. Departamento de Fisica y Matematicas, Universidad de las Americas -Puebla, Santa Catarina Martir, 72820, Puebla, Mexico

    Victor A. Vysloukh

  5. Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa, 1649-003, Portugal

    Dmitry A. Zezyulin

Authors
  1. Yaroslav V. Kartashov
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  2. Vladimir V. Konotop
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  3. Victor A. Vysloukh
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  4. Dmitry A. Zezyulin
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Corresponding author

Correspondence to Yaroslav V. Kartashov .

Editor information

Editors and Affiliations

  1. Faculty of Engineering The Iby and Aladar Fleischman, Tel Aviv University, Ramat Aviv, Israel

    Boris A. Malomed

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Kartashov, Y.V., Konotop, V.V., Vysloukh, V.A., Zezyulin, D.A. (2012). Guided Modes and Symmetry Breaking Supported by Localized Gain. In: Malomed, B. (eds) Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations. Progress in Optical Science and Photonics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10091_2012_4

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  • DOI: https://doi.org/10.1007/10091_2012_4

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