基于单层体光栅的耦合波理论和矩阵光学知识，推导出飞秒脉冲通过多层体光栅衍射后的耦合波方程，并由此得到衍射光强谱和瞬时衍射效率表达式.研究结果发现衍射光强谱和瞬时衍射光强分布是与多层体光栅的结构参量，如中间填充层厚度、光栅层厚度、光栅常量及体光栅材料的折射率调制度有关系的.通过调节这些参量，获得了不同形状和不同宽度的衍射脉冲.该结果可用于设计基于多层体光栅的光通信和光脉冲整形器件.

Based on the coupledwave theory of single volume grating and matrix theory, the coupledwave equation of stratified volume grating illuminated by femtosecond pulse is acquired. Solutions for the diffraction intensity spectrum and instantaneous diffraction intensity are obtained. The research results show that the diffraction characteristics depend on the parameters of the stratified gratings, such as the thickness of the buffer layers and grating layers, grating periods and the refractive index modulations of the grating. Through modulating these parameters, diffraction pulses with different shapes and bandwidths can be obtained. The results will be utilized to design devices employed in optical communication and pulse shaping.