基于UPML的三维FDTD正演模拟  

Three-dimensional FDTD forward modeling based on UPML absorbing boundary condition

作　　者：胡灵娟 唐新功[2] 潘秋瑾[3] 邵佳园 孙游雪 Hu Lingjuan;Tang Xingong;Pan Qiujin;Shao Jiayuan;Sun Youxue(Key Laboratory of Exploration Technologies for Oil and Gas Resources,Ministry of Education,Yangtze University,Wuhan 430100,China;Institute of Geophysics and Petroleum Resources,Yangtze University,Wuhan 430100,China;College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]长江大学油气资源与勘探技术教育部重点实验室,湖北武汉430100 [2]长江大学地球物理与石油资源学院,湖北武汉430100 [3]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《能源与环保》2018年第4期138-141,共4页CHINA ENERGY AND ENVIRONMENTAL PROTECTION

摘　　要：采用时域有限差分法(Finite-Difference Time Domain,FDTD)计算电磁场问题时需要设置适当的吸收边界条件(Absorbing Boundary Condition,ABC),从而将无限空间转化为有限空间来模拟电磁波的传播情况及其规律。讨论了单轴各向异性完全匹配层(Uniaxial Perfectly Matched Layer,UPML)吸收边界条件下的三维时域有限差分法,介绍了一般FDTD的基本原理,推导了基于UPML的三维FDTD的迭代公式,采用FDTD-UPML对电磁波在三维空间的传播情况进行正演模拟。数值模拟结果表明,结合具有强大图形处理功能的Matlab编程软件,使得FDTD-UPML能够很直观地模拟电磁波在三维空间中的传播情况。It is necessary to set the appropriate absorption boundary condition(ABC)to transform the infinite space into a finite space to simulate the propagation of electromagnetic waves and its law by the method of the finite difference time domain(FDTD)to calculate the electromagnetic field problems.In the paper,we mainly discussed the three-dimensional finite difference time domain method under the absorbing boundary conditions of the uniaxial perfectly matched layer(UPML).Firstly,the basic principle of the FDTD was introduced,and then the iterative formula of the 3D-FDTD based on the UPML was deduced.Finally,the FDTD-UPML was used to simulate the propagation of electromagnetic waves in the three-dimensional space.The numerical results showed that the FDTD-UPML can simulate the propagation of electromagnetic waves in the three-dimensional space by combining Matlab programming software with powerful graphics processing function.

关 键 词：时域有限差分法 单轴各向异性 完全匹配层 三维 电磁波 

分 类 号：O441.4[理学—电磁学]