多重折射率光子晶体谐振腔模型设计与仿真

Design and Simulation of Resonant Cavity Model for Multi Refractive Index Photonic Crystal

摘要: 本文提出了一种基于二维多重折射率光子晶体结构的谐振腔模型，这种谐振腔模型结构是由硅介质柱在空气背景中周期性排列而成。通过有限时域差分法、平面波展开法对光子晶体结构进行分析，发现该光子晶体结构中存在多种折射率。基于这种光子晶体进行谐振腔模型结构设计，利用快速傅里叶变换算法对该光子晶体谐振腔的折射率进行计算，验证出这种光子晶体谐振腔中存在两种折射率。随后研究了双重折射率光子晶体谐振腔模型中温度与谐振腔模型出射频谱波峰位置的关系，结果表明温度在0℃到240℃范围内每升高60℃，波峰位置向右定量移动0.014 μm。

Abstract: In this paper, a resonant cavity model based on a two-dimensional multiple refractive index pho-tonic crystal structure is proposed, which is composed of silicon dielectric columns arranged peri-odically in an air background. The photonic crystal structure is analyzed by finite time domain dif-ference method and plane wave expansion method, and it is found that there are multiple refractive indices in this photonic crystal structure. The resonant cavity model structure is designed based on this photonic crystal, and the refractive indices of the resonant cavity are calculated using the fast Fourier transform algorithm, and the existence of two refractive indices in the resonant cavity of this photonic crystal is verified. The relationship between the temperature and the wave peak posi-tion of the resonant cavity model in the dual refractive index photonic crystal resonant cavity is then investigated, and the results show that the wave peak position moves quantitatively to the right by 0.014 μm for every 60˚C increase in temperature in the range of 0˚C to 240˚C.