论文部分内容阅读
利用传输矩阵法及对色散缺陷层采用洛伦兹振子模型,研究了一维含色散缺陷的Sinc函数型光子晶体的光子禁带和色散缺陷模,计算了该周期结构的复有效折射率。结果表明,加入缺陷层后可获得宽阔的光子禁带;缺陷层引入色散后在中心圆频率附近色散缺陷模出现;随着振子强度的增大,增益性缺陷模圆频率发生阶跃式移动,其透射率显著增大,而吸收性缺陷模的透射率显著减小,此时缺陷模处的色散曲线有一个近乎垂直的斜率,此处的群速度将大大降低;增益性缺陷层基底折射率对缺陷模频率影响显著;缺陷层位于周期结构中心层时缺陷模频率最低、透射率最大。增大入射角使得缺陷模红移,增益性缺陷模在特殊入射角处透射率会出现千倍增益。
Using the transfer matrix method and the Lorenz oscillator model for the dispersion defect layer, the photonic band gap and dispersion defect modes of the one-dimensional Sinc function photonic crystal containing the dispersion defect are studied. The complex effective refractive index of the periodic structure is calculated. The results show that a wide photonic band gap can be obtained after adding the defect layer; the defect layer appears dispersion mode near the center frequency after dispersion; and as the oscillator strength increases, Its transmissivity increases significantly, while the transmissivity of the absorptive defect mode decreases significantly. At this time, the dispersion curve of the defect mode has a nearly vertical slope, where the group velocity will be greatly reduced. The gain of defect layer base refractive index Which has a significant effect on the defect mode frequency. When the defect layer is located in the center layer of the periodic structure, the defect mode frequency is the lowest and the transmittance is the highest. Increasing the incidence angle makes the defect mode redshift, and the gain defect mode has a thousandfold gain of transmissivity at a special incident angle.