Gnutzmann, Sven, Smilansky, Uzy and Derevyanko, Stanislav 2011. Stationary scattering from a nonlinear network. Physical review A 83 (3) , 033831. 10.1103/PhysRevA.83.033831 |
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Official URL: http://link.aps.org/doi/10.1103/PhysRevA.83.033831
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.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Additional Information: | 6 pages. |
Publisher: | American Physical Society |
ISSN: | 1050-2947 |
Related URLs: | |
Last Modified: | 10 May 2023 19:21 |
URI: | https://orca.cardiff.ac.uk/id/eprint/17723 |
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