中文摘要：

对一维对称光子晶体中的色散介质采用洛仑兹振子模型，通过考虑色散介质层两侧的边界条件，得到了表征色散介质层的转移矩阵。对线性层及色散δ层均采用传输矩阵的方法，研究了一维含色散介质的光子晶体微腔中的简正耦合模。由于光与色散介质的相互作用，纵腔模将分裂成简正耦合模。通过改变色散介质的相关参数，详细研究了简正耦合模频率的移动、均匀展宽效应和失谐效应。发现两个简正的耦合模的频率间距主要依赖于振子的耦合强度，与约化的振子的HWHM线宽无关。失谐效应则会使其中的一个峰降低，而另一个峰相对拉高，这一现象可以通过Fabry-Perot腔得到很好的解释。

英文摘要：

The normal-mode coupling dispersive medium in a symmetric one-dimension photonic crystals （ 1 D PCs） was studied. The frequency shift effect, homogeneous broadening effect, and the detuning effect of the normal coupled modes can be well controlled by adjusting the parameters of the dispersive medium. It is found that the separation between the two transmission peaks enlarges with increasing the dimensionless coupling strength. It implies that we can modulate the frequency shift of the dispersive defect by adjusting the parameter of the dispersive medium. The broadening effect of normal coupled modes is related to the reduced oscillator HWHM linewidth. Detuning effect of dispersive layer will make one peak rapidly drop and the other relatively much higher. It can be understood by FabryPerot cavity analysis.