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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) , 033831. 10.1103/PhysRevA.83.033831

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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
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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