Stationary scattering from a nonlinear network

Gnutzmann, Sven, Smilansky, Uzy and Derevyanko, Stanislav (2011). Stationary scattering from a nonlinear network. Physical Review A, 83 (3),

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.

Publication DOI: https://doi.org/10.1103/PhysRevA.83.033831
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Electrical, electronic & power engineering
Engineering & Applied 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
Full Text Link: http://link.aps ... sRevA.83.033831
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2011-03-28
Authors: Gnutzmann, Sven
Smilansky, Uzy
Derevyanko, Stanislav

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