Higher-order solitons in amplitude-disordered waveguide arrays

We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial loca...

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Bibliographic Details
Published inChinese physics B Vol. 23; no. 10; pp. 186 - 191
Main Author 刘海东 金洪震 董亮伟
Format Journal Article
LanguageEnglish
Published 01.10.2014
Subjects
Amplitudes
Arrays
Focusing
Modulation
Nonlinearity
Refractive index
Refractivity
Solitons
Stability
传播过程
光波导阵列
振幅
无序系统
空间局部性
非线性状态
高阶孤子
高阶非线性
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/23/10/104213

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Summary:We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial localized nonlinear states. Solitons originating from Anderson modes with few nodes are robust during propagation. While multi-peaked solitons with in-phase neighboring components are completely unstable, multipole-mode solitons whose neighboring components are out-of-phase can propagate stably in wide parameter regions provided that their power exceeds a critical value. Our findings, thus, provide the first example of stable higher-order nonlinear states in disordered systems.
Bibliography:Liu Hai-Dong, Jin Hong-Zhen, and Dong Liang-Wei（ a） Department of Physics, Zhejiang Normal University, Jinhua 321004, China b ） Institute of Information Optics, Zhejiang Normal University, Jinhua 321004, China
disordered lattices, higher-order solitons, stability
We investigate the existence and stability of different families of spatial solitons in optical waveguide arrays whose amplitudes obey a disordered distribution. The competition between focusing nonlinearity and linearly disordered refractive index modulation results in the formation of spatial localized nonlinear states. Solitons originating from Anderson modes with few nodes are robust during propagation. While multi-peaked solitons with in-phase neighboring components are completely unstable, multipole-mode solitons whose neighboring components are out-of-phase can propagate stably in wide parameter regions provided that their power exceeds a critical value. Our findings, thus, provide the first example of stable higher-order nonlinear states in disordered systems.
11-5639/O4
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/10/104213