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利用平面波展开法,发现双原子正方晶格光子晶体中ΓM方向边界面存在着快慢两类边界模式,并且通过计算色散关系和电场分布研究了边界参量对这两类边界模式传输特性的影响.依据两种模式的色散关系,计算了群指数和群速度色散参量,结果表明边界参量的变化对第一类边界模式传输特性的影响较小,该模式的平均群指数始终维持在5.0左右;第二类边界模式与第一类模式明显不同,边界参量的变化能够有效地影响到这种模式的传输特性,该模式的最大平均群指数可达178左右.利用时域有限差分法记录了不同时刻电场强度在边界附近的分布及监测点处的电场幅度变化情况,结果表明,两类模式都能够被限制在边界附近并向前传播,时域有限差分法得到的群速度与平面波展开法的结果完全吻合.
Using plane wave expansion method, it is found that there are two types of boundary modes in the direction of ΓM direction in the double-atom square lattice photonic crystal, and the influence of the boundary parameters on the transmission characteristics of the two boundary modes is studied by calculating the dispersion relation and electric field distribution. The results show that the variation of boundary parameters has little effect on the transmission characteristics of the first type of boundary mode, and the average group index of this mode always stays at about 5.0. The second Compared with the first type of model, the boundary of the class boundary is obviously different, and the change of the boundary parameters can effectively affect the transmission characteristics of this model. The maximum average group index of the model can reach about 178. The time-domain finite difference method is used to record the electric field The distribution of the intensity near the boundary and the change of the electric field amplitude at the monitoring point show that both modes can be confined near the boundary and propagate forward. The results of the group velocity and the plane wave expansion method obtained by the finite-difference time-domain method are completely Anastomosis.