基于Kogelnik的耦合波理论，研究了在色散效应的影响下，超短脉冲激光光束在反射型体全息光栅中衍射的性质．研究给出了衍射光及透射光在频谱域及时间域的振幅及强度分布、光栅的光谱宽度及衍射效率随光栅参量及入射条件的变化．数值研究的结果表明，在光栅记录介质色散效应的影响下，衍射光束的光谱宽度减小，脉冲展宽，衍射效率降低．通过适当的选取光栅参量及入射条件，可以控制衍射和透射光束的频谱和时间强度分布，得到满意的衍射和透射光束的带宽和波形，从而可以将其应用于脉冲整形等技术中．

By using the coupled wave theory of Kogelnik,the diffraction of an ultrashort pulsed beam by a one dimensional reflection volume holographic grating is investigated. Considering the dispersion effect of the grating media,the spectral and temporal distributions of the diffracted and transmitted beams,the spectral bandwidth of the grating,as well as the diffraction efficiency of the reflection volume grating are studied both analytically and numerically. It is investigated that the spectral widths of the diffraction light are narrowed,temporal widths are broadened,and then diffraction efficiencies decrease with the dispersion effect of the grating media. In particular,the distortion and broadening of the pulsed beams are shown.They are controlled by the parameters of the grating and the input conditions. These results demonstrate that there is a new potential for the study of the diffraction of the ultrashort pulsed beam by the volume holographic gratings,such as femtosecond pulse shaping.