论文部分内容阅读
从理论上分析设计了三角晶格的光子晶体,利用时域有限差分法模拟横电模(TE模)在二维光子晶体中的传播,并对模拟得到的电磁场数据作傅里叶变换得到其频谱。通过对各个频谱成分的相位作分析,计算出光子晶体的等效折射率。进一步发现不同的空间频率对应的相速度方向是不同的,正折射的频率对应的相速度方向与能量传播方向一致,负折射的频率对应的相速度方向与能量传播方向相反。对光子晶体内部电场的变化做了详细的分析,以期为探究光子晶体与电磁波作用的物理机理提供扎实的理论依据。
The photonic crystal of triangular lattice was designed theoretically and the propagation of transverse mode (TE mode) in two-dimensional photonic crystal was simulated by the finite difference time-domain method. The simulated electromagnetic field data was Fourier transformed Spectrum. By analyzing the phase of each spectral component, the equivalent refractive index of the photonic crystal is calculated. It is further found that the phase velocities corresponding to different spatial frequencies are different. The phase velocities corresponding to the positive refractions are consistent with the energy propagation directions. The phase velocities corresponding to the negative refractions are opposite to the energy propagation directions. The changes of the electric field inside the photonic crystal are analyzed in detail in order to provide a solid theoretical basis for exploring the physical mechanism of the photonic crystal and the electromagnetic wave.