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.