非线性布拉格光栅双稳特性的理论研究

Theoretical investigation on the bistability of nonlinear Bragg gratings

基于耦合模理论,利用椭圆积分方法对非线性布拉格光栅(NLBG)的双稳特性进行了理论分析,推导出较为普遍情形下表述NLBG输出强度与输入强度之间关系的解析表达式,并采用数值模拟的方法研究了NLBG双稳态对光栅内部参数的依赖性.结果表明:NLBG双稳特性不仅对耦合系数与光栅长度的乘积具有整体依赖性,而且对耦合系数和光栅长度具有单一依赖性.

Based on the coupled mode theory, the bistability performance of nonlinear Bragg gratings is analyzed theoretically in terms of elliptic integration. The analytical expression describing the relation between the input intensity and the output intensity is presented. Consequently, the dependence of the bistability on the gratings inner parameters is investigated numerically. The results show that,＇the bistability performance of the nonlinear Bragg gratings depends not only on the product of the couple coefficient and the grating length but also on the couple coefficient and the gratings length respectively.