基于带隙分析的三维反蛋白石光子晶体的非理想态结构参数的求解

Calculation of the Imperfect Structure Parameter of Inverse Opal Photonic Crystals based on Analysis of the Photonic Band Gap

应用平面波展开法分析了三维反蛋白石结构光子晶体的带隙性质;计算了沿[111]方向入射时其赝带隙(第一、第三赝带)中心频率分别与填隙材料在模板中填充率ff、模板煅烧因子sf的关系曲线:随ff的减小,v增大;随sf的增大,v随之增大,非理想状态下,ff<100%、sf>1,因此较理想态发生蓝移;由此提出了求解平均填充率ffev与平均煅烧因子sfev的计算框图。

The characters of photonie band gaps （PBGS） of three dimensional inverse opal photonie crystals were analyzed by using plane wave expansion method. There will be not only one gap in the photonie band structure in the ease of incidence along the [ 111 ] direction, it is shown that the middle frequency v of pseudo-gaps including the first gap and the third gap will increase when the filling fraction of the background dielectric medium inside the opal voids ff decreases, and that v will increase when the sintering factor sf increases, which depends on the eonglutination of the close-packed colloid spheres as template. PBGS will move to a short-wavelength in the imperfect condition which means that ff is less than 100% and sf is more than 1. The frame of calculating the average filling faetorffov and the average sintering factor sfev has been presented.