STUDY ON DIFFRACTION CHARACTERISTICS OF TWO-DIMENSIONAL CANTOR FRACTAL GRATING

In recent years, fractal gratings have been widely used in the fields of optics, materials etc. In this paper, the diffraction characteristics of the two-dimensional Cantor fractal grating diffraction are discussed from three aspects: theory, simulation and experiment. Firstly, the analytical formulation of light intensity distribution is derived according to the scalar diffraction theory. Then, a graphical interface is developed based on Python for experimental simulation, and the simulated diffraction pattern is obtained. Finally, the grating is prepared for experiment. Our results show that the diffraction patterns obtained from experiments and theoretical simulations are consistent with each other. Our work could help undergraduates to understand the diffraction rule of two-dimensional Cantor fractal grating, and the obtained rule also has some application prospects in optics and materials.