采用光诱导光子晶格的方法，利用3 孔、4 孔、5 孔、8 孔和12 孔掩模在掺铁铌酸锂晶体中写入多重旋转对称结构的二维光子晶格。基于干涉理论，对多孔掩模干涉图样进行了数值模拟。通过实验成功地观测到了3 孔、4 孔、5孔、8 孔和12 孔布里渊区和远场衍射，并分析了布里渊区与远场衍射的对应关系，实验结果表明光子晶格图样和数值模拟一致。传统观测布里渊区的方法需要使用旋转漫反射器，观测布里渊区和写入晶格是不同的光路，而本方法只需在写入光路中加入衰减器便可观测到布里渊区，较之前的诸方法更为简单、稳定、易于调节。

Utilizing the method of light- induced photonic lattices，we fabricate multiple rotational symmetry two- dimensional photonic lattices in LiNbO3:Fe crystal by masks with 3, 4, 5, 8 and 12 holes. Based on the interference principle, the multiple- beam interference pattern is obtained by numerical simulation. We observe the 3, 4, 5, 8 and 12 holes Brillouin- zone spectra and far- field diffraction patterns, and analyze the relationship between them. Experimental results are quite consistent with the simulation results. Traditional methods of observing Brillouin-zone spectra need rotating diffuser, using different optical paths to induce superlattices and observe Brillouin zone. We use attenuator only, so that the proposed method is simpler, more stable, and easier to adjust.