Reciprocal Vector Theory for Analysis of the Self-Imaging of Two Dimensional Periodic Objects
二维阵列光场衍射自成像效应的倒格矢分析

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.