The theoretical study and numerical simulation of the tunable two-dimensional hexagonal phase array based on Talbot effect

Abstract

In this paper, on the basis of Talbot effect and using numerical simulation, we analyzed the two-dimensional amplitude and fixed- phase-difference arrays and found that these arrays can easily be affected by temperature, and the intensity distribution at z position behind them can’t be tuned. To solve the problem, an external electric field is used to tune the phase-difference of the phase array. We derived a theoretical model which realizes uniform distribution of light intensity via the application of an external electric field to tune the phase-difference, and the model agreed with Paturzo’s experimental results. The result make a good foundation for the research of new kinds of arrays.