激光与光电子学进展, 2015, 52 (6): 061602, 网络出版: 2015-05-26   

基于FDTD算法的光子晶体等相位面频谱分析 下载: 1071次

Analysis of Equi-Phase Frequency Spectrum in Photonic Crystal Based on FDTD Method
作者单位
上海理工大学光电信息与计算机工程学院, 上海 200092
摘要
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。
Abstract
A triangular photonic crystal is designed theoretically. An analysis on the transmission properties of the transverse electric mode (TE mode) in two dimensional (2D) photonic crystal with triangular lattice is presented based on the finite difference time domain technique. The frequency spectrum is extracted from the simulated electromagnetic field data by Fourier transform. By analyzing the phase of each spectral component, the equivalent refractive index of a photonic crystal is calculated. the results show the different relationship between the spatial frequency and phase velocity. For the frequency of positive refraction, the phase velocity and energy are in the same direction. On the contrary, For the frequency of positive refraction, the phase velocity and energy are in the opposite direction. The result might provide a solid theoretical basis in the inquisition of photonic crystal physical mechanism.
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马路明, 胡金兵, 蒋强, 梁斌明, 陈家璧, 庄松林. 基于FDTD算法的光子晶体等相位面频谱分析[J]. 激光与光电子学进展, 2015, 52(6): 061602. Ma Luming, Hu Jinbing, Jiang Qiang, Liang Binming, Chen Jiabi, Zhuang Songlin. Analysis of Equi-Phase Frequency Spectrum in Photonic Crystal Based on FDTD Method[J]. Laser & Optoelectronics Progress, 2015, 52(6): 061602.

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