摘要
主要理论分析了(2+1)维呼吸子在一种预倾角为π/4的无外置偏压的液晶盒中传输的情况。基于(2+1)维非局域非线性薛定谔方程利用格林函数法计算得出这种特殊液晶盒中光束传输时的响应函数,同时得到了这种情况下的非线性系数,结果表明通过一定的技术手段获得了更强的非线性效应。在平衡点处将势函数近似展开到二阶的情况下得到了一个近似的呼吸子解,另外通过势函数数值积分也得到了一个呼吸子解,将两种理论方法计算所得的呼吸子解的波动振幅、周期和最大(最小)束宽分别与数值模拟结果比较,得到数值积分的结果与数值模拟结果吻合更好。
The propagation of the （2＋l）-dimensional breathers in a nematic liquid crystal （NLC） cell is theoretically investigated, whose tilt angle is fixed to ＂rr/4 in anywhere without bias voltage. The reponse function of beam＇s propagation in such a special cell is obtained by the Green function which is based on a （2＋1）-dimensional nonlocal nonlinear SchrSdinger equation （NNLSE）, and at the same time, the nonlinear coefficient in this case is obtained. The results show that the nonlinear effects can be stronger by certain technical means. On the balance point, the potential is approximate to the 2nd order, an approximate breather solution is presented. In addition, another breather solution is obtained by numerical integration. Respectively compared the breather amplitude fluctuations, period and the maximal （minimal） widths which are calculated by the two theoretical methods with the numerical simulations, it is obviously found that the results of numerical integration are more accurate.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2015年第9期219-227,共9页
Acta Optica Sinica
基金
国家自然科学基金(11174090
11174091)
关键词
非线性光学
无外置偏压
格林函数法
响应函数
非线性
呼吸子
nonlinear optics
without bias voltage
Green function
response function
nonlinearity
breathers
