| 精细积分法在一维光子晶体数值模拟中的应用 |
| |
| 引用本文： | 杨红卫,慕振峰,姜舒宁.精细积分法在一维光子晶体数值模拟中的应用[J].光子学报,2012,41(10):1200-1204. |
| |
| 作者姓名： | 杨红卫 慕振峰 姜舒宁 |
| |
| 作者单位： | 北京工业大学应用数理学院,北京,100124 |
| |
| 基金项目： | 国家自然科学基金(No. 11172008, No. 10972013)资助 |
| |
| 摘 要： | 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.
|
| 关 键 词： | 光子晶体 精细积分法 左手材料 光子带隙 |
| 收稿时间： | 2012/5/10 |
Application of Precise Integration in Numerical Simulation of One-dimensional Photonic Crystal |
| |
| YANG Hong-wei
,
MU Zhen-feng
,
JIANG Shu-ning.Application of Precise Integration in Numerical Simulation of One-dimensional Photonic Crystal[J].Acta Photonica Sinica,2012,41(10):1200-1204. |
| |
| Authors: | YANG Hong-wei MU Zhen-feng JIANG Shu-ning |
| |
| Institution: | (College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | Photonic crystal Precise integration method Left-handed materials Photonic band gap |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
