二次元多周期1维光子晶体带隙的实质  

The essence of the band gap of 1-D photonic crystal with period consisting of two elements

作　　者：范希智[1] FAN Xizhi(Department of Physics, Faculty of Science Wuhan University of Technology, Wuhan 430070, China)

机构地区：[1]武汉理工大学物理系,武汉430070

出　　处：《激光技术》2021年第3期313-317,共5页Laser Technology

摘　　要：为了讨论1维光子晶体带隙的本质,利用传输特征矩阵法分析了二次元多周期1维光子晶体的反射率,并推导出等效折射率实部的表达式。以氟化镁(MgF_(2))和硫化锌(ZnS)构成的二次元多周期的1维光子晶体为例,进行了数值计算,绘制了反射率及等效折射率实部的曲线,并进行了分析。结果表明,反射率为1.0的波长区间与等效折射率实部为零的波长区间相同;对于带隙范围内的光波而言,1维光子晶体的等效折射率的实部等于或趋近于零时,1维光子晶体是虚等效折射率材料。该研究对二次元多周期1维光子晶体的研究是有帮助的。In order to discuss the essence of 1-D photonic crystal band gap,the reflectivity of 1-D photonic crystal consisting of two elements was analyzed,and the expression of the real part of the equivalent refractive index was derived by using the transmission characteristic matrix method.Taking the 1-D photonic crystal composed of magnesium fluoride(MgF_(2))and zinc sulfide(ZnS)as an example,the analytical numerical calculations of the reflectivity and the real part of the equivalent refractive index were done and the corresponding curves were drawn.It was the conclusion that,wavelength range with reflectivity of 1.0 is the same as that with real part of equivalent refractive index of zero.For the light waves in the band gap,the real part of the equivalent refractive index of 1-D photonic crystal is equal to or close to zero,namely,1-D photonic crystal is virtual equivalent index material in the extent of band gap.In other words,the optical essence of photonic crystal band gap is that photonic crystal becomes virtual equivalent index material.This study is helpful for the study of 1-D photonic crystal with multi periods consisting of two elements.

关 键 词：物理光学 光子晶体 带隙 虚折射率 

分 类 号：O436[机械工程—光学工程]