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 |
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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: | 25 Nov 2024 08:06 |
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 |