Stationary scattering from a nonlinear network
Stationary scattering from a nonlinear network
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DOI：
10.1103/physreva.83.033831
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发表时间：
2010-11
影响因子：
2.9
通讯作者：
S. Gnutzmann;U. Smilansky;S. Derevyanko
中科院分区：
文献类型：
--
作者：
S. Gnutzmann;U. Smilansky;S. Derevyanko
通过将量子图上的定态散射理论推广到非线性区域，讨论了一维非线性导线的复杂网络传输问题。我们表明，图中圈的存在导致了大量主导散射的尖锐共振。结果表明，后一类共振对非线性极其敏感，并表现出多重稳定性和滞后性。这项工作为研究光在复杂光网络中的传输提供了一个框架。
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.