二维光子晶体量子阱的光谱特性研究

Spectral Properties of Two-Dimensional Photonic Crystal Quantum Well Structures

研究了二维光子晶体量子阱的光谱特性,该量子阱结构由二维正方晶格圆柱晶胞光子晶体通过移去中间位置的介质圆柱层形成。由于光子晶体中的光子禁带充当了光子运动的势垒,类似于半导体量子阱中电子的行为,在光子晶体量子阱结构中会出现量子化的光子能态。文章利用平面波展开法计算了所用光子晶体的能带结构,利用传输矩阵方法计算了量子阱结构的透射光谱。计算结果表明,在光子禁带中出现了离散的透射峰,透射峰的强度随着势垒宽度的增加而减弱,个数随着势阱宽度的增加而增加,通过计算得到了其定量关系,并且讨论了透射峰频率与势阱宽度的关系。

In the present paper, the spectral properties of two-dimensional （2D） photonic crystal quantum well structures were studied＇numerically. The structures consist of a 2D photonic crystal （PC） with square lattice of parallel dielectric circular columns in air and some middle layers of columns are removed. Similar to the electrons in semiconductor quantum wells, the pho- tonic bandgap （PBG） in PC can act as a potential barrier to photons, which gives rise to quantized photonic states in the PBG re- gion. Photonic band structures were calculated using plane wave expansion method and transmission spectra were obtained using transfer matrix method. The results show that discrete transmission peaks appear in PBG region. More transmission peaks arise with the increase of the well layer and the strength decreases with the increase in the potential layer width. The relationships between the frequency of transmission peaks and the width of well layer were also discussed.