二维光子晶体与声子晶体带隙的比较研究

Comparative study of bandgaps on two-dimensional photonic crystal and phononic crystal

利用平面波展开法以铝圆柱/空气体系为研究对象,讨论了二维光子晶体与二维声子晶体带隙结构的特性。以三角形晶格为例,进而对比分析了两种晶体的带隙结构。本文还分析了晶格常数一定时铝圆柱半径与填充率对两种晶体带隙宽度的影响。结果表明：铝圆柱半径从0.32a到0.37a,填充率从0.372到0.497变化时二维光子晶体TE模不出现带隙,TM模出现的最大带隙宽度随着铝圆柱半径增大而逐渐变大。而二维声子晶体只出现一条带隙且最大带隙宽度也随着铝圆柱半径与填充率的增大而变大且而为声子晶体的变化幅度比光子晶体大。这对光子晶体与声子晶体的应用方面提供了良好的参考价值。

Using plane wave expansion method the characteristics of the band gap structure of two-dimensional photonic crystal and two-dimensional phononic crystal with the aluminum cylinder/air system are discussed . Taking triangular lattice as an example, the band gap structure of two kinds of crystals is compared and analyzed. The influence of the radius of aluminum cylinder and the filling rate on the band gap width of the two crystals is also analyzed. The results show that when the radius of aluminum cylinder is between 0. 32a and 0. 37a and the filling rate varies from 0. 372 to 0. 497, there is no band gap in TE mode of two-dimensional photonic crystal. The maximum band gap width of TM mode increases with the increasing of the radius of aluminum cylinder. However, there is only one band gap in the two-dimensional phononic crystal and the maximum band gap also increases with the increasing of the radius and filling rate of the aluminum cylinder and the variation range of the phononic crystal is larger than photonic crystal. This provides a good reference for the application of photonic crystal and phononic crystal.