应用传输矩阵法研究了以三层单负材料为周期单元对称型一维光子晶体(ABC)M(CBA)M。结果表明，其带隙结构对入射角的敏感程度与光波的偏振性有关，TE波的高频通带会随着入射角的增大向中心频率移动，而TM波的带隙结构对入射角的变化不敏感。研究还发现各介质层厚度的变化对能带结构的影响规律不相同。当保持各介质层厚度比不变，成倍增大各介质层厚度，高、低频通带变窄并向中心频率移动，低频区通带首先消失。当改变各介质层厚度比时，若保持A、C层厚度不变，减小B层厚度，高、低频通带分别向两侧移动同时收缩变窄；若保持B层厚度不变，增、C层厚度，高、低频区通带同样变窄，低频区通带首先消失，带隙同样变宽。最后研究了该光子晶体的零有效相位带隙结构，发现其通带随晶格常数的增大逐渐向中心频率移动同时收缩变窄，这一特性可以用来设计单通道窄带零有效相位延迟滤波器。

The one-dimensional photonic band gap of symmetrical structured consisting of the cycle unit of three single-negative materials in the form of (ABC)M(CBA)M are studied by the transfer matrix method. The results show that this kind of symmetrical structured one-dimensional photonic crystal has a special photonic band gap whose sensitivity to the angle of incidence is related to the nature of the light waves. TE wave high-frequency passband will move to the central frequency with the increase of the angle of incidence. The angle gap at the high-frequency band simultaneously enlarges with the increasing of the incident angle. But TM wave passband is not sensitive to the angle of incidence. When the ratio of the thicknesses of three media is unchanged, and the dielectric layers thickness is exponentially increased, high-frequency passband and low-frequency passband respectively shrank and narrowed, moving to the central frequency, and the low-frequency passband first disappears. When varying the ratio of the thicknesses of three media, keeping the A and C layer thickness unchanged and reducing the B layer thickness, high-frequency passband and low frequency passband respectively move to both sides and contract themselves at the same time. Maintaining the B layer thickness and increasing the A and C layer thickness, the high-frequency passband and the low-frequency passband are both shrunk, the low frequency passband first disappears. They all lead to the brodening of the band gap. We also found that the passband width of multiple heterostructures whose average permittivity and permeability are gradually narrowed with the increase of the lattice constant. This feature can be used to design omni-directional single-channel filters, and omni-directional zero-phase-shift filters.