Stationary scattering from a nonlinear network


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.

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Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2011 American Physical Society
Uncontrolled Keywords: transmission ,complex network,nonlinear one-dimensional leads,quantum graphs,Atomic and Molecular Physics, and Optics
Publication ISSN: 1094-1622
Last Modified: 07 Feb 2024 08:03
Date Deposited: 18 Apr 2012 13:24
Full Text Link: http://link.aps ... sRevA.83.033831
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2011-03-28
Authors: Gnutzmann, Sven
Smilansky, Uzy
Derevyanko, Stanislav



Version: Published Version

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