应用精细积分法对含各种介质材料的一维光子晶体进行了数值模拟, 并对结果进行了分析.计算时将光子晶体分成不同的区段, 引入区段势能和区段混合能, 利用精细积分法求出各个区段的出口刚度矩阵, 然后将各个区段的刚度矩阵合并, 再结合边界条件便可求解问题.利用透射率和反射率之间的关系, 判断了本算法的准确度, 数值计算结果表明, 对于一维光子晶体的数值模拟, 此方法准确、有效、适用性强.

Transmission coefficient of the one-dimensional photonic crystal with various dielectric materials is simulated by using precise integration, and simulation results are analyzed. Photonic crystal is divided into different sections. Potential energy of the section and mixed energy of the section are introduced. The export stiffness matrix of each section can be obtained by using precise integration, and then each stiffness matrix is combined. The problem can be solved by imposing boundary conditions on the stiffness matrix. The curves of lose rate D are drawn to check the validity and accuracy of the numerical solution. The simulation results show that this method is accurate, efficient and applicable for the simulation of one-dimensional photonic crystal.