中文摘要：

基于衍射的角谱理论,分析了一般二维周期阵列光场的衍射特性.提出了一种用阵列光场的倒格矢来研究和描述衍射自成像（或泰伯效应）的方法。给出了用倒格矢表示的一般衍射自成像条件。在此基础上,对典型的非正交六方型二维周期阵列光场的泰伯效应和分数泰伯效应进行了定量分析和计算机模拟。

英文摘要：

A reciprocal vector theory for analysis of the diffractive self-imaging （or Talbot effect） of a two dimensional （2D） periodic object is proposed. Using this method, a general condition for determining the Talbot distance is derived with the reciprocal lattice vector of the input object. As an example,the Talbot distance of a typical 2D periodic object with hexagonal structure is calculated. The fractional Talbot effect of the hexagonal structure is analyzed quantitatively. Some computer-simulated results are given for demonstration of the above theory.