Stationary scattering from a nonlinear network

Sven Gnutzmann, Uzy Smilansky, Stanislav Derevyanko

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

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
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume83
Issue number3
DOIs
StatePublished - 28 Mar 2011
Externally publishedYes

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