引入角度偏差、位移偏差作为拼接光栅系统的物理参数，定义了拼接光栅的孔径函数，利用傅里叶角谱理论研究了高斯脉冲入射拼接光栅压缩器后的远场分布特性。研究表明；出射脉冲仍然是高斯型脉冲，但包络中心发生偏移，偏移量由角度偏差量和光束口径决定；位移偏差引入的相位随着拼接光栅压缩器传递，其对远场焦斑的影响，取决于每片子光栅的非整数倍光栅常数的横向位移偏差和纵向位移偏差的综合作用。通过数值计算得到了各维偏差对阵列光栅压缩器空域特性的影响，计算表明：光栅面外角度偏差（俯仰左右）和条纹平行度偏差都必须控制在1μrad以内，在此范围内，应将位移偏差控制在52nm以内。

Introducing the tip-tilt and piston error as the parameter and defining the aperture function of the tiled-grating, far-field property was analyzed with Gaussian beam incidence using the theory of Fourier angular spectrum. The results showed that the output beam was Gaussian while the center of the envelope shifted, the shift magnitude was determined by angle errors and beam size. The phase difference caused by piston error translated with the tiled-grating compressor, the focal spot was affected by both non-integral number of grating space and out-of-plane piston error. Numerical simulation showed the effect on the spatial characteristic of the tiled-grating compressor due to alignment errors.