二维8重固-流型准周期声子晶体带隙特性研究

摘要

针对二维8重固-流型(钢-水)准周期声子晶体，通过实验方法测试得到了不同大小准周期系统的透射谱，并利用有限元方法计算了准周期体系的频散曲线和透射谱。结果显示，实验与有限元方法所得透射谱结果基本符合，但有限元方法得到的透射谱显示的带隙特性更为明显；二维固-流型8重准周期声子晶体选用包含其中心拼图在内的最小超元胞可以近似计算整个准周期结构的频带结构。%For the two-dimensional (2D) 8-fold solid-fluid quasi-periodic photonic nanocrystal (QPNC) (steel-water system), the transmission spectra of the systems with different sizes are obtained by experimentation. At the same time, combined with the supercell method, the finite element method (FEM) is used to calculate the dispersion curves and transmission spectrum of the system. The transmission spectra obtained by means of these two methods are in good agreement with each other, but the band gaps appearing in the transmission spectrum calculated using the FEM are clearer than those obtained via experimentation. The dispersion curves of the 2D 8-fold solid-fluid QPNC can be well studied by using the supercell which only contains its center puzzle.