中文摘要：

根据一阶光学微分器的传递函数，理论分析了均匀长周期光纤光栅（LPFG）作为一阶瞬态光学微分器应满足的条件。周期压力产生的LPFG能够通过压力的控制加强光栅的模式耦合，因而得到大的光栅谐振损耗，实验证明了周期压力在细径光纤上产生的LPFG能够产生大于50dB的谐振损耗。数值模拟结果表明，此光栅光学微分器能够高精度地完成对高斯脉冲的微分运算，在超快全光信号处理、飞秒脉冲整形和任意光脉冲产生等领域中有宽广的应用前景。

英文摘要：

According to the transfer function of a first-order differemiator, the condition of a uniform long p-riod fiber grating （LPFG） as a first-order temporal optical differentiator is theoretically analyzed in this paper. The mode coupling in the periodical pressure-induced LPFG,which is formed by pressing a single mode fiber between a fiat plate and a V-shaped periodically grooved plates, can be enhanced by controlling the periodical pressure applied on the fiber, and then a large resonant loss of the LPFG can be obtained. The periodical pressure-induced LPFG in a small diameter fiber with the resonant loss larger than 50 dB is experimentally demonstrated. The simulated results show that the grating is capable of completing differential operation for Gauss optical pulse with high precision. The periodical pressure-in- duced LPFG has potential applications in the fields of ultrafast all-optical signal processing,femtosecond optical pulse shaping,arbitrary optical pulse generation,and so on.