用传输矩阵方法和Bloch定理，从理论上分析以色散介质为背景，由正负折射率材料组成的半无限一维光子晶体的表面态，发现以色散介质为背景，在满足平均折射率等于零的情况下，第一层厚度变化时，表面态将会在较大频率范围内显著变化。讨论了同一入射角度下不同频率的表面态的电场分布情况，结果表明：远离带边的表面态局域长度较小。

The surface states of semi-infinite one-dimensional photonic crystal composed of positive and negative refractive materials are theoretically investigated with the method of the transmission matrix and Bloch theorem. It is found that when the photonic crystal is adjacent to a dispersive medium background and the average refractive index is equal to zero, the surface states can be sensitively changed in a large frequency range while the thickness of the cap layer is changing. The electric field distributions of two surface states with the same incident angle and different frequency are discussed. The result shows that the surface state which is far from the band edge has a smaller local length.