基于周期结构的布洛赫原理，从电磁场理论出发，用解析和数值的方法系统地研究了基于表面缺陷的半无限一维光子晶体Tamm态的形成条件，模式特征以及与无缺陷Tamm态之间的关系.对TE波，缺陷Tamm态的频率范围向高低两个方向扩大；而对TM波，缺陷Tamm态的频率范围只向高频扩大, 而低频范围减小.缺陷折射率较大时, 缺陷Tamm态的色散曲线近似直线, 其群速度大小也近似等于光在单层缺陷里的传播速度. 通过调节缺陷层的折射率或者厚度可以方便地把缺陷Tamm态的频率设计到需要的范围.

Based on the Bloch theory of periodic structure, the Tamm states of semi-infinite one-dimensional photonic crystal with surface defect (the defect Tamm states) were studied through analytical and numerical methods. The forming condition and field properties of the defect Tamm states was obtained. The properties of the defect Tamm states and the Tamm states without defect was also compared. For TE wave, the frequency range of defect Tamm state is enlarged to both high frequency and low frequency; for TM wave, the frequency range of defect Tamm state is only enlarged to high frequency, but is narrowed in low frequency. For large refraction index of defect material, the dispersion curve of Tamm state is close to a straight line and the group velocity is close to that light velocity in the single defect layer. The frequency of the defect Tamm state can be adjusted into our needed range by changing the refraction index or thickness of the defect layer.