Photonic band structure of one-dimensional metal/dielectric structures calculated by the plane-wave expansion method  

作　　者：ZONG YiXin XIA JianBai 

机构地区：[1]The State Key Laboratory of Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences

出　　处：《Science China(Physics,Mechanics & Astronomy)》2015年第7期84-89,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the special funds for the National Basic Research Program of China(Grant No.069c031001);the National Natural Science Foundation of China(Grant No.60521001).

摘　　要：The plane-wave expansion(PWE) method is employed to calculate the photonic band structures of metal/dielectric(M/D) periodic systems. We consider a one-dimensional(1D) M/D superlattice with a metal layer characterized by a frequency-dependent dielectric function. To calculate the photonic band of such a system, we propose a new method and thus avoid solving the nonlinear eigenvalue equations. We obtained the frequency dispersions and the energy distributions of eigen-modes of 1D superlattices. This general method is applicable to calculate the photonic band of a broad class of physical systems, e.g. 2D and 3D M/D photonic crystals. For comparison, we present a simple introduction of the finite-difference(FD) method to calculate the same system, and the agreement turns out to be good. But the FD method cannot be applied to the TM modes of the M/D superlattice.The plane-wave expansion （PWE） method is employed to calculate the photonic band structures of metal/dielectric （M/D） periodic systems. We consider a one-dimensional （1D） M/D superlattice with a metal layer characterized by a frequency-dependent dielectric function. To calculate the photonic band of such a system, we propose anew method and thus avoid solving the nonlinear eigenvalue equations. We obtained the frequency dispersions and the energy distributions of eigen-modes of 1D superlattices. This general method is applicable to calculate the photonic band of a broad class of physical systems, e.g. 2D and 3D M/D photonic crystals. For comparison, we present a simple introduction of the finite-difference （FD） method to calculate the same system, and the agreement turns out to be good. But the FD method cannot be applied to the TM modes of the M/D superlattice.

关 键 词：photonic crystal PWE method frequency dispersion energy distribution 

分 类 号：O481.1[理学—固体物理]