正负折射率含缺陷1维光子晶体多通道滤波器

为了分析结构参量对正负折射率材料1维光子晶体缺陷模的影响，利用传输矩阵法计算了基于正负折射率材料含正折射率缺陷1维光子晶体B（AB）m（ACB）n（AB）mB的透射谱，分析了各参量对该结构1维光子晶体缺陷模的影响，并用波动理论定性分析了多通道滤波器形成的原因。结果表明，在各介质层的光学厚度绝对值都为0/4的情况下，每个禁带中都有n个超窄的透射峰，相邻两个透射峰间距比相同结构下正折射率情况的宽；当n=1时，随着C层介质光学厚度以0/4的k倍增加，透射谱中同一禁带内出现了k条透射峰；当n2时，透射谱中同一禁带内出现了nk条透射峰。该研究结果对可调多通道滤波器的设计和研究有一定的参考价值。

Multi-channel filter based on 1-D photonic crystals composed of alternate layers of left-handed and right-handed materials with defects

In order to study the influence of the structural parameters on the defect modes of 1-D photonic crystal containing positive index materials and negative index materials, the transmission spectrum of the 1-D photonic crystal containing positive index materials and negative index materials B(AB)m(ACB)n(AB)mB was calculated by using the optical transmission matrix. The effect of structural parameters on defect modes of 1-D photonic crystals was analyzed. Then, the mechanism of multi-channel filters was analyzed based on the wave optics. The results show that there are n defect modes that have the ultra-narrow multi-channel filtering properties when the optical thickness of each layer medium equals to 0/4. When n=1 and the optical thickness of C layer medium equals to k(0/4), there are k defect modes that have the ultra-narrow multi-channel filtering properties. When n2 and the optical thickness of C layer medium equals to k(0/4), there are nk defect modes that have the ultra-narrow multi-channel filtering properties. The results have certain reference value to the design and research of photonic crystal.