材料色散对1维光子晶体缺陷模影响的研究

为了分析材料色散对缺陷模的影响,对色散材料采用洛伦兹振子模型,利用传输矩阵法计算了含缺陷1维光子晶体的透射谱,分析了各层的色散对该结构1维光子晶体缺陷模的影响。结果表明,无论是高、低折射率介质还是缺陷层的色散都可以引起缺陷模的频移或分裂;缺陷模的频移方向与考虑色散后光学厚度的变化有关,如果光学厚度增大,则发生红移,反之则发生蓝移;低折射率介质的色散使缺陷模频移的效果最显著。这一结果对光子晶体的设计和研究有一定的参考价值。

Influence of material dispersion on defect modes of 1-D photonic crystal

In order to study influence of material dispersion on defect modes of 1-D photonic crystal, the transmission spectrum of the 1-D photonic crystal with dispersive material was calculated based on optical transmission matrix, and the dispersive material was described by the Lorentz oscillator model. The effect of material dispersion on defect modes of photonic crystals was analyzed. The results show that whether the dispersion of high and low refractive index medium or the dispersion of defect will bring frequency shift or splitting of defect modes; the defect mode will bring red-shift if the optical thickness of dispersive medium is thicker than the thickness of common medium, and the defect mode will bring blue-shift when the optical thickness of dispersive medium is thinner than the thickness of common medium; the most obvious effect of frequency shift of defect modes results from the dispersion of low refractive index medium. The results have certain reference value to the design and research of photonic crystal.