一维四元镜像对称光子晶体的帯隙研究

Band Gap of 1-D Four Element Photonic Crystal with Mirror Symmetry

构造了由AsS、SiO2、PbTe和LiF四种介质组合而成的（AB）m（CD）m-1 A（DC）m-1（BA）m一维四元镜像对称结构光子晶体模型,利用传输矩阵法,研究了该结构的光学传输特性。结果表明：当m≥4,光线垂直入射时,在可见光全波段（400~760nm）范围内恰好有一严格帯隙。四介质的几何厚度各自独立递增时,帯隙红移,宽度增加,反之亦然。随着入射角增加,帯隙将产生蓝移。对于TE波,该光子晶体具有较好的角度宽容度,可实现全角度在可见光大部分波段（400~705nm）范围内的反射;对于TM波,仅能在可见光小部分波段（400~520nm）实现全角度反射。

An （AB）m（CD）m-1 A（DC）m-1（BA）m-type AsS, SiOz, PbTe and LiF, using transfer matrix method, was studied. The result showed that the band gap just in incident light when m≥4. If the geometric thicknesses one-dimensional photonic crystal was made from the optical transmission characteristics of which the visible range（400~760 nm）with the vertical of four mediums increased, the band gap had red shifts and the width increased, and vice versa. The band gap have blue shifts with the increase of incident angle. For TE mode, the photonic crystal had a better Angle tolerance, which can realize the whole Angle within the scope of the reflection in most of the visible light band （400~705 nm）. For TM mode, only a small portion visible light wave band （400~ 520 nm） reflection. can realize the whole Angle within the scope of the