基于衍射的角谱理论分析了二维振幅型六角周期阵列物体的塔尔博特效应。将六角型点阵结构看成两个长方型点阵结构的叠加，推导出了六角型周期阵列物体的塔尔博特距离公式，并进一步分析了分数塔尔博特距离处的塔尔博特像，给出了分数塔尔博特距离处的复振幅分布公式。通过理论数值模拟与实验研究发现，在分数塔尔博特距离处的衍射图样还是周期性的六角型阵列，只是阵列周期发生了变化。研究结果表明，当分数塔尔博特距离的分数值β为3的正整数倍时，周期减小为原来的3/β；当分数塔尔博特距离的分数值β为非3的正整数倍时，周期减小为原来的1/β。

The Talbot effect of a 2D amplitude hexagonal array object is analysed based on the angular spectrum theory. The hexagonal lattice can be regarded as a superposition of two rectangular lattices. The Talbot distance of the hexagonal array object is deduced. The diffraction images and the complex amplitude distribution equation are also discussed at the fractional Talbot distance. The theoretical simulation and experimental results show that the diffraction patterns at the fractional Talbot distance are hexagonal array, but the periods are changed. It is shown that the period of the new hexagonal array is reduced to 3/β when the fractional number β of the Talbot distance is a positive integral multiple of three, while the period is reduced to 1/β as β is not equal to a positive integral multiple of three.