为了分析峰值折射率对1维正弦型函数光子晶体缺陷模的影响, 首先对折射率按正弦规律变化的介质进行离散化, 然后应用传输矩阵法计算了1维光子晶体(AB)mC(BA)m的透射谱, 分析了各介质层的折射率峰值对该结构1维正弦型函数光子晶体缺陷模的影响。结果表明, 随着峰值折射率的增大, 缺陷模红移, 且频率越高缺陷模红移现象越明显;低折射率介质的峰值折射率对缺陷模频移的影响比较显著。这一结果对光子晶体的设计有一定的参考价值。

In order to investigate effect of the peak refractive index on the defect modes of 1-D sine function photonic crystals, the sine function medium was discretized at first, then the transmission spectrum of the 1-D sine function photonic crystal (AB)mC(BA)m was computed by applying the method of optical transmission matrix, and the effect of peak refractive index of sine function medium on defect modes was analyzed. The results show that the defect modes are red-shifted with the increasing of peak refractive index, and the higher the frequency is, the more obvious the red-shift of defect modes is. The obvious effect of frequency shift of defect modes results from the increasing of the peak refractive index of low refractive index medium. The results have a certain reference value for the design of photonic crystal.