Stationary scattering from a nonlinear network

Preprint

4 January 2011

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1011.2382

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 multi-stability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.

Keywords

STATIONARY SCATTERING
NETWORK TRANSMISSION
NONLINEAR NETWORK
DIMENSIONAL LEADS
OPTICAL NETWORKS
QUANTUM GRAPHS
HYSTERESIS

All Related Versions

Version 1, 2010-11-10, ArXiv
Version 2, 2011-01-04, ArXiv
Published version: Physical Review A, 83 (3).

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