Stability analysis of FDTD to UPML for time dependent Maxwell equations

被引：0
|
作者：
FANG NengSheng YING LungAn School of Finance Southwestern University of Finance and Economics Chengdu China School of Mathematical Sciences Xiamen University Xiamen China School of Mathematical Sciences Peking University Beijing China [1 ,2 ,3 ,1 ,610074 ,2 ,361005 ,3 ,100871 ]
机构：
来源：
ScienceinChina(SeriesA:Mathematics). | 2009年 / 52卷 / 04期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study an finite-difference time-domain (FDTD) system of uniaxial perfectly matched layer (UPML) method for electromagnetic scattering problems. Particularly we analyze the discrete initial-boundary value problems of the transverse magnetic mode (TM) to Maxwell's equations with Yee's algorithm. An exterior domain in two spacial dimension is truncated by a square with a perfectly matched layer filled by a certain artificial medium. Besides, an artificial boundary condition is imposed on the outer boundary of the UPML. Using energy method, we obtain the stability of this FDTD system on the truncated domain. Numerical experiments are designed to approve the theoretical analysis.
引用
收藏
页数：23
相关论文
共 50 条
  • [41] Numerical Dispersion Analysis of Energy Conserved Splitting FDTD Method for Maxwell's Equations
    Zhao, Lei
    Li, Wen
    Yu, Wenhua
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL ELECTROMAGNETICS (ICCEM), 2016, : 333 - 335
  • [42] Numerical Analysis of a Leapfrog ADI-FDTD Method for Metamaterial Maxwell's Equations
    Chen, Meng
    Huang, Yunqing
    Li, Jichun
    [J]. 2018 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM (PIERS-TOYAMA), 2018, : 1523 - 1531
  • [43] Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
    Collino, F
    Fouquet, T
    Joly, P
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 211 (01) : 9 - 35
  • [44] A MULTISCALE APPROACH AND A HYBRID FE-FDTD ALGORITHM FOR 3D TIME-DEPENDENT MAXWELL'S EQUATIONS IN COMPOSITE MATERIALS
    Cao, Liqun
    Li, Keqi
    Luo, Jianlan
    Wong, Yaushu
    [J]. MULTISCALE MODELING & SIMULATION, 2015, 13 (04): : 1446 - 1477
  • [45] FDTD Maxwell's equations models for nonlinear electrodynamics and optics
    Joseph, RM
    Taflove, A
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (03) : 364 - 374
  • [46] ADI-FDTD method for transformed Maxwell's equations
    Tian, Chunming
    Tam, W. Y.
    [J]. CEEM' 2006: ASIA-PACIFIC CONFERENCE ON ENVIRONMENTAL ELECTROMAGNETICS, VOLS 1 AND 2, PROCEEDINGS, 2006, : 851 - +
  • [47] On the stability of the FDTD method for solving a time-dependent Schrodinger equation
    Dai, WZ
    Li, G
    Nassar, R
    Su, SJ
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2005, 21 (06) : 1140 - 1154
  • [48] A fourth-order FDTD technique for Maxwell's equations
    Xie, ZQ
    Zhang, B
    [J]. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 878 - 882
  • [49] Analysis of a multigrid algorithm for time harmonic Maxwell equations
    Gopalakrishnan, J
    Pasciak, JE
    Demkowicz, LF
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2004, 42 (01) : 90 - 108
  • [50] A COMPARISON OF 3 MIXED METHODS FOR THE TIME-DEPENDENT MAXWELL EQUATIONS
    MONK, P
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1992, 13 (05): : 1097 - 1122
12345