Stationary scattering from a nonlinear network

Sven Gnutzmann, Uzy Smilansky, Stanislav Derevyanko

Research output: Contribution to journalArticlepeer-review


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
Issue number3
Publication statusPublished - 28 Mar 2011

Bibliographical note

©2011 American Physical Society


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


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