光学学报, 2013, 33 (6): 0619001, 网络出版: 2013-05-22   

超常介质中三、五阶非线性引起的交叉相位调制的非稳定性

Modulation Instability of Cross-Phase Modulation Induced by Cubic-Quintic Nonlinearity in Metamaterials
作者单位
1 华东师范大学信息科学技术学院通信工程系, 上海 200241
2 上海电机学院电子信息学院通信工程系, 上海 200240
摘要
推导了同向传播但波长不同的两光波,在三、五阶非线性效应同时作用下、基于超常介质Drude色散模型的耦合非线性薛定谔方程组和交叉相位调制引起的调制不稳定性(XMI)的增益公式,分析了五阶非线性效应对交叉相位调制引起的不稳定增益谱的影响。结果表明,五阶非线性效应加强了调制不稳定性,使增益谱变宽,峰值变大,并且反常群速度色散(GVD)区域调制不稳定性的增益明显大于正常GVD区域。比较了考虑群速度矢配(GVM)与忽略GVM的两种情况,发现GVM对XMI起了重要的作用。当两列光脉冲同时在正折射率区域或在不同的折射率区域传播时XMI最严重。
Abstract
Based on the dispersive Drude model in metamaterials, nonlinear coupled Schrdinger equations are derived for two copropagating optical waves with cubic-quintic nonlinearity and modulation instabilities induced by the cross-phase modulation (XMI) are studied. The impact of quintic nonlinearity on the gain spectra of XMI is analyzed. It shows that the quintic nonlinearity strengthens the XMI with broader XMI spectra and higher peak gain. It is found that the XMI gain is obviously larger in the region with abnormal group velocity dispersion (GVD) than that in the region with normal GVD. Two cases with or without the group velocity mismatch (GVM) in XMI are compared and the GVM is found to play an important role in the occurrence of XMI. It also shows that the serious XMI occurs when two optical waves propagate simultaneously in the positive refractive index region or in different refractive index regions.
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刘颖, 余传禧, 胡之惠, 薛燕陵. 超常介质中三、五阶非线性引起的交叉相位调制的非稳定性[J]. 光学学报, 2013, 33(6): 0619001. Liu Ying, Xu Chuanxi, Hu Zhihui, Xue Yanling. Modulation Instability of Cross-Phase Modulation Induced by Cubic-Quintic Nonlinearity in Metamaterials[J]. Acta Optica Sinica, 2013, 33(6): 0619001.

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