Analytical expression for phase distribution of a hexagonal array at fractional Talbot planes.
We describe a reciprocal-lattice vector method for analysis of the diffractive self-imaging (or Talbot effect) of a two-dimensional periodic object. Using this method we analyze the fractional Talbot effect of a hexagonal array and deduce a simple analytical expression for calculation of the complex amplitude distribution at any fractional Talbot plane. Based on this new formula, we design a hexagonal array illuminator (HTAI) with a high fractional parameter. A computer simulation for demonstration of the HTAI is also given.
Physics Department, Shandong Normal University, Jinan, Shandong, 250014, China. guochsh@sdnu.edu.cn
Cheng-Shan
CS
Guo
Xia
X
Yin
Lin-Wei
LW
Zhu
Zheng-Ping
ZP
Hong