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利用光子晶体平面波展开法理论对多种晶格分布的二维光子晶体进行了数值模拟与分析。给出了计算光子带隙中心出现频率位置的理论依据,应用光子晶体平面波展开法和已有数据仿真计算出带隙中心所在频率位置与待测甲醇-水溶液浓度之间的关系。仿真计算结果表明,待测甲醇-水溶液的浓度与光子带隙中心频率之间存在线性正比例关系。该仿真实验选取溶液浓度检测范围为0.05~0.60 mol/L,为找到精准度较高、具有可应用性和实用性的模型,计算各种晶体板的填充参数来进行分析和对比,得到蜂窝形晶格光子晶体二维板应用于传感检测甲醇溶液浓度更具优势。
The photonic crystal plane wave expansion method is used to simulate and analyze a variety of two-dimensional photonic crystal with lattice distribution. The theoretical basis for calculating the frequency of photonic bandgap centers is given. The relationship between the position of the bandgap center and the concentration of methanol to be tested is calculated by the photonic crystal plane wave expansion method and the existing data simulation. The simulation results show that there is a linear and proportional relationship between the concentration of methanol-water solution and the center frequency of photonic band gap. In this simulation experiment, the detection range of the solution concentration was selected to be 0.05-0.60 mol / L. In order to find a model with high accuracy, applicability and practicability, the filling parameters of various crystal plates were calculated and analyzed to obtain the honeycomb shape Lattice photonic crystal two-dimensional plate used in sensing the concentration of methanol solution more advantage.