对全入射角负折射二维光子晶体结构和电磁参量的研究  

Analysis of Structural Parameter and Electromagnetic Parameter in Two-Dimensional Photonic Crystals with All-Angle Negative Refraction Property

作　　者：易燕[1] 方吉祥[1] 丁秉钧[1] 

机构地区：[1]西安交通大学理学院金属材料强度国家重点实验室,西安710049

出　　处：《光子学报》2008年第2期287-291,共5页Acta Photonica Sinica

基　　金：国家自然科学资金(50471033)资助

摘　　要：利用二维光子晶体的等频线分析原理和平面波展开方法,得到了使二维光子晶体产生全入射角负折射(All-Angle Negative Refraction,AANR)现象时,入射电磁波的频率取值范围.同时,分析了AANR频率范围随着结构参量(晶格类型、介质棒半径与晶格周期的比值)和电磁参量(介质柱介电常量、本底介电常量、入射电磁波偏振方向)变化的行为.结果表明:固定组成光子晶体的一种介质的介电常量,另一介质的介电常量只有达到一定阈值,才有可能使光子晶体出现AANR现象.在给定两种介质介电常量的条件下,存在使AANR频率范围最大化的结构参量和电磁参量.Constant-frequency contours analysis method and the plane-wave method were employed to gain the frequency range of the incident electromagnetic waves when all-angle negative refraction （AANR） phenomenon occurs in two-dimensional photonic crystals. The dependence of the frequency range on structural paramerter （crystal lattice shape, the ratio of the rod radius and the lattice constant） and electromagnetic parameter （the dielectric constants of the rods and of the background, incident electromagnetic waves with different polarization） were investigated. The result shows that when a dielectric constant is fixed, it is necessary that the other dielectric constant reach a threshold. Photonic crystal has its optimized structural parameter and electromagnetic patameter when it has its largest AANR freqency range.

关 键 词：光子晶体 AANR 等频线分析 负折射 

分 类 号：O482.3[理学—固体物理]