Stationary scattering from a nonlinear network

被引：46

作者：

Gnutzmann, Sven ^{[1
]}

Smilansky, Uzy ^{[2
,3
]}

Derevyanko, Stanislav ^{[4
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Cardiff Univ, Sch Math, Cardiff CF24, S Glam, Wales

[3] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel

[4] Aston Univ, Nonlinear & Complex Res Grp, Birmingham B4 7ET, W Midlands, England

来源：

PHYSICAL REVIEW A | 2011年 / 83卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevA.83.033831

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：6

共 15 条

[1]

[Anonymous], 2007, NONLINEAR FIBER OPTI

[2] Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper [J].