通过结合电磁波在周期性纳米材料中的传播特性以及阿贝完备成像理论中的阿贝正弦条件，提出了一种快速测试光子等频图和能带结构的测试技术和光学检测系统。将无限筒长显微物镜作为一种把波矢空间直接转换到实空间的变换器件,并通过配备二维面阵CCD的光栅光谱仪实现了对周期性纳米材料的等频图和能带结构的一次性拍照，真正实现了方便、快速和无损的探测技术。利用自行搭建的测试系统对用自组装方法制备的二维周期性纳米材料进行了相关光学测试，通过实验测试结果和相关理论计算的对比验证了系统的可行性和可靠性，从而说明该光学系统在研究周期性纳米材料的光学特性方面具有一定的优势。

Based on the transmission characteristics of electromagnetic waves in periodic nanomaterial and the optical Abbe sine condition, the optical system that can measure photonic isofrequency curves and band structures is proposed. By using a grating spectrometer equipped with a two-dimensional CCD and an infinite tube length microscope objective that can directly transform the wave vector space into real space, the information of photonic isofrequency curves and band structures are obtained with a snapshot, leading to a simple, rapid and nondestructive detection method. This experimental scheme is applied to measure a two-dimensional periodic nanomaterial which is prepared by using self-assembly technology. By comparing experimental results and theoretical calculation, feasibility and reliability of this system are verified. It indicates an unique advantage in studying the optical property of the periodic nonmaterial.