色散对一维光子晶体能带中光场的影响

Effects of Dispersion on the Light Field in 1D Photonic Crystal Band

摘要:

利用特征矩阵的方法推导出光在一维光子晶体中光场的分布公式, 利用光场的分布公式和材料色散公式研究了材料色散对一维光子晶体内部光场分布的影响。研究表明: 对于禁带, 材料色散对一维光子晶体内部光场的分布不会产生明显影响；对于导带, 材料色散对一维光子晶体内部光场的分布会产生明显的影响。这些规律的获得加深了对一维光子晶体性质的认识。

Abstract:

The distribution formula of the light field in 1D photonic crystal was deduced with the method of characteristic matrix. The effects of material dispersion on the interior light field distribution in the 1D photonic crystal were studied by the light field formula and the dispersion formula. It is indicated that the dispersion can not affect the light field in band gap of 1D photonic crystal, but for the conduction band, it will cause great effects.