论文部分内容阅读
通过改进时域有限差分(FDTD)法,计算和分析了二维光子晶体的缺陷模式。运用一维时域有限差分算法和线性插值法在总场散射场(TF-SF)连接边界引入入射平面波,采用完全匹配层(PML)技术对外行波进行了有效吸收。计算和分析结果表明,在光子晶体非对称方向入射的平面波能激发所有的缺陷模式,选取合适的探测点位置收集电场值,经快速傅里叶变换(FFT)能得到所有的共振峰值。另外,采用该方法研究了二维正方介质柱光子晶体缺陷模的共振频率与缺陷介质柱半径和介电常量之间的关系。结果表明通过改变缺陷的半径和介电常量大小可以在光子晶体禁带中一定的范围内调节缺陷模式的共振频率大小。
The defect modes of two-dimensional photonic crystals were calculated and analyzed by improving the FDTD method. An incident plane wave is introduced into the boundary of total field scattering (TF-SF) connection by using one-dimensional FDTD algorithm and linear interpolation. The perfect matching layer (PML) technique is used to effectively absorb external traveling waves. The results of calculation and analysis show that the plane wave incident in the asymmetric direction of photonic crystal can excite all the defect modes, and the electric field values can be collected by selecting appropriate detection points. All the resonance peaks can be obtained by Fast Fourier Transform (FFT). In addition, the relationship between the resonant frequency and the defect dielectric column radius and dielectric constant of two-dimensional square dielectric column photonic crystal defect mode is studied by using this method. The results show that by changing the radius of the defect and the size of the dielectric constant, the resonant frequency of the defect mode can be adjusted within a certain range of photonic band gap.