无衍射光学晶格主要采用函数传递的方式进行数值计算分析,数学模型抽象,程序构建复杂,难以灵活地分析不同光学元件及其缺陷和光路结构对光学晶格物理形成过程的影响。从光路仿真角度出发,提出了一种无衍射光学晶格的分析方法,实现了基础方晶格、最大对称组合基础方晶格、一级稀疏方晶格等典型光学晶格结构的仿真,并验证了光束的无衍射性,说明了该方法的可行性。将该方法应用于光路结构和光学元件特性与光学晶格结构之间的关联分析,有助于探索无衍射二维光学晶格的形成与调控方法,以及潜在应用效果的评估。

The function transfer method is primarily used for the numerical calculation and analysis of non-diffracting optical lattices. But it has complicated mathematical expressions and the programming is challengeable as well. These features make the method difficult for flexibly analyzing the influence of individual optical component as well as its defects and the optical structure on the physical formation of optical lattices. Here, we propose a simulation approach to make the analysis easier. With this simulation method, typical lattices structure, such as fundamental square lattices, maximum symmetric combined fundamental square lattices, and first sparse square lattices, were realized. The non-diffraction performance of the structured beam was verified. These results illustrate the feasibility of the proposed method. Furthermore, the method is useful to find out the correlations among the optical system structure, optical components and the optical lattices. It helps to clarify the formation mechanism and the regulation method of non-diffracting two-dimensional optical lattices and, thus, to develop the potential application.