Stationary scattering from a nonlinear network

Sven Gnutzmann, Uzy Smilansky, Stanislav Derevyanko

Research output: Contribution to journalArticle

Abstract

Transmission through a complex network of nonlinear one-dimensional leads is discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. We show that the existence of cycles inside the graph leads to a large number of sharp resonances that dominate scattering. The latter resonances are then shown to be extremely sensitive to the nonlinearity and display multistability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.
Original languageEnglish
Article number033831
Number of pages6
JournalPhysical Review A
Volume83
Issue number3
DOIs
Publication statusPublished - 28 Mar 2011

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scattering
hysteresis
nonlinearity
cycles
propagation

Bibliographical note

©2011 American Physical Society

Keywords

  • transmission
  • complex network
  • nonlinear one-dimensional leads
  • quantum graphs

Cite this

Gnutzmann, S., Smilansky, U., & Derevyanko, S. (2011). Stationary scattering from a nonlinear network. Physical Review A, 83(3), [033831]. https://doi.org/10.1103/PhysRevA.83.033831
Gnutzmann, Sven ; Smilansky, Uzy ; Derevyanko, Stanislav. / Stationary scattering from a nonlinear network. In: Physical Review A. 2011 ; Vol. 83, No. 3.
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Gnutzmann, S, Smilansky, U & Derevyanko, S 2011, 'Stationary scattering from a nonlinear network', Physical Review A, vol. 83, no. 3, 033831. https://doi.org/10.1103/PhysRevA.83.033831

Stationary scattering from a nonlinear network. / Gnutzmann, Sven; Smilansky, Uzy; Derevyanko, Stanislav.

In: Physical Review A, Vol. 83, No. 3, 033831, 28.03.2011.

Research output: Contribution to journalArticle

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Gnutzmann S, Smilansky U, Derevyanko S. Stationary scattering from a nonlinear network. Physical Review A. 2011 Mar 28;83(3). 033831. https://doi.org/10.1103/PhysRevA.83.033831