本文阐述了二维周期物体Talbot自成象条件.理论上证明角度限制2RaRbcosγ=整数,并非为必要条件.当周期物体的单胞空间频率交叉项比主频率项小到可忽略的程度时,角度限制失效.这时,任意二维周期物体都可自成象.实验结果与理论分析完全一致.

The talbot self-imaging conditions of the plane periodical objects are presented. It is proved theoretically that restriction of the angle v, 2RaRb cos r=integer, is not a necessary condition. If the cross terms of the spatial frequencies for the unit cell of periodical object are much smaller than the main frequency terms, the restriction of the angle is not necessary. In this case, any two-dimensional periodical object can be self-imaged. The experimental results presented in this paper are in accordance with the theoretical analysis.