中文摘要：

运用Bloch定理和传输矩阵方法，研究了与色散介质毗邻的由两种材料组成的半无限一维光子晶体局域表面态的电场和色散关系．和以空气为背景的一维光子晶体相比，毗邻色散介质的光子晶体表面模色散曲线在一定堆积次序下会在较低的带隙中发生断开，较高带隙中的表面模群速度在不同堆积次序下会有很大差异．当与色散介质毗邻的物质折射率较大时，较高带隙中的表面模群速度较小；与色散介质毗邻的物质折射率较小时，较高带隙中表面模的群速度较大．

英文摘要：

The Bloch theorem and the transfer matrix is employed to analyse the electric field and the dispersion behaviour of localized surface states supported in the surface of a semi-infinite one-dimensional （1D） photonic crystal（PC） that is adjacent to an dispersive medium background. The crystal consists of two composite layers. Compared with the surface modes of a semi-infinite 1D photonic crystal that is adjacent to the vacuum, the dispersion curves of the 1D photonic crystal is cut in the low bandgaps at suitable stack sequences. The group velocity of the surface mode has great changes when the stack sequence is different. The group velocity is quick when the refractive index of the material adjacent to the dispersive medium is small; the group velocity is slow when the refractive index of the material adjacent to the dispersive medium is large.