可见光波段的一维光子晶体的理论设计

Theoretical Design of One-dimensional Photonic Crystals for the Visible Spectrum

利用传输矩阵,计算了Si/KCl、Si/TiO2、TiO2/MgF2三种典型的具有λ/4波片堆结构的可见光波段的一维光子晶体的反射率,并且研究了折射率比、周期数和入射角对一维光子晶体特性的影响。结果表明,可见光波段的一维光子晶体的周期的增大会使禁带中心红移、绝对带宽和相对带宽扩展;相对带宽随着折射率比的增大而增大,但依靠提高折射率比来提高一维光子晶体的相对带宽有限。该研究结果对可见光波段的一维光子晶体的实用制备具有理论指导意义。

The influence of the ratio of refractive index, periodical number N and incident angel on the properties of the three designed typical one-dimensional photonic crystals with λ/4 wave sheet stack structure such as Si/KCl, Si/TiO2 and TiO2/MgF2 was carefully investigated by traditional transfer matrix method based on the reflectance calculation of these three onedimensional photonic Crystals. And the investigation results show that red shift of the band gap center and extension of the absolute and relative bandwidth for one-dimensional photonic crystals occur with the periodic number N increasing. And the relative bandwidth increases with the ratio of refractive index increasing. But to increase the relative bandwidth only through increasing the ratio of refractive index is limited. The investigation is theoretically important to the preparation and application of one-dimensional photonie crystals for the visible spectrum.