二维光子晶体带隙的计算方法及研究现状

Study on Computational Method of Two-dimensional Photonic Crystal Band Gap

二维光子晶体制备简单,且在可见光范围内更容易产生带隙,在光通信及新型光子器件设计等方面具有重要应用。但当前研究工作中理论计算对实验制备的指导作用明显不够,因此对二维光子晶体带隙的各种计算方法,如平面波展开法、FDTD法、多极法等进行了评述。发现各种方法各有优缺点,如平面波展开方法应用广泛、概念清晰,但收敛速度慢;时域有限差分法通用性适用性强、节约存储空间,但精确度低。通过评述总结出不同方法的适用范围及发展趋势。

The two-dimensional photonic crystals, in the features of simple preparation and band gap more easily produced in the visible light scope, play a very important role in the aspects of optical communication and new photonic devices design. However, the current research shows that theoretical calculation and design research have an obviously insufficient instruction on experimental preparation research. In view of this, based on reviewing several calculation methods of two-dimensional photonic crystal band gap such as plane wave expansion method, FDTD method, multi-pole method. This paper has mainly analyzed its merit and demerit of each method above, for instance, plane wave expansion method has wide application and clear concept but slow convergence, and FDTD method has strong generality and applicability in addition with storage space saving but low accuracy, as well as has attained application scopes and research status of different methods.