光学学报, 2015, 35 (2): 0227002, 网络出版: 2015-01-15   

电磁感应透明的高阶非线性效应对光孤子的影响

Influence of Higher Nonlinearity to Optical Solitons in Electromagnetically Induced Transparency Medium
作者单位
1 西北大学物理学院, 陕西 西安 710069
2 西北大学光子学与光子技术研究所, 陕西 西安 710069
摘要
研究了电磁感应透明介质中高阶非线性效应对光孤子传输的影响。采用半经典理论获得介质对光场的线性和非线性响应,基于介质特性利用波动理论推演出三-五阶非线性薛定谔方程。介质的线性非线性特性分别决定了群速度色散参量,三阶和五阶非线性系数。研究结果表明,该非线性介质既可以诱导亮孤子也可以诱导暗孤子,取决于群速度色散参量和三阶非线性系数。当前者为负同时后者为正时产生亮孤子,当两者均为负时产生暗孤子,二者可以通过载频与相应跃迁能级失谐的调节获得。与普通非线性薛定谔方程相比,三-五阶非线性薛定谔方程对亮孤子和暗孤子出现的参数和输入条件更加严格。
Abstract
Effect of higher nonlinearity to optical solitons in the medium of electromagnetically induced transparency is investigated theoretically. By applying semi-classical theory, the response of the medium to the optical field is obtained. Based on the feature of the medium and by using the wave theory, a cubic- quantic nonlinear Schrodinger equation describing the evolution of the optical wave is obtained. The linear and nonlinear susceptibilities of the medium determine the group velocity dispersion parameter, third- order and fifth- order nonlinearities of the nonlinear equation. It is found that the bright soliton and dark soliton can be induced under the presence of higher nonlinearity, and the occurrence of both solitons determined by the signs of the group velocity dispersion and third-order nonlinearity. When the former is negative while the latter is positive, bright soliton occurs; when both of them are negative, dark soliton occurs. The sign of the two parameters can be got by management of the frequency shift between the carrier frequency and the relative atomic transition. Compared with the general nonlinear Schrodinger equation, the cubic- quantic nonlinear Schrodinger equation has tough requirement of input and parameters condition for the occurrence of bright and dark solitons.

杜英杰, 杨战营, 谢小涛, 白晋涛. 电磁感应透明的高阶非线性效应对光孤子的影响[J]. 光学学报, 2015, 35(2): 0227002. Du Yingjie, Yang Zhanying, Xie Xiaotao, Bai Jintao. Influence of Higher Nonlinearity to Optical Solitons in Electromagnetically Induced Transparency Medium[J]. Acta Optica Sinica, 2015, 35(2): 0227002.

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