A strongly well-posed PML with unsplit-field formulations in cylindrical and spherical coordinates

被引:5
|
作者
Shi, Y [1 ]
Liang, CH [1 ]
机构
[1] Xidian Univ, Sch Elect Engn, Xian 710071, Peoples R China
关键词
D O I
10.1163/156939305775696784
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A simple and systematic derivation of strongly well-posed perfectly matched layer (PML) in cylindrical and spherical coordinates is presented. The unsplit-field PML formulations are expressed in terms of the complex coordinate stretching approach which was originally proposed for split-field PML. The well-posed PML formulations include the symmetric hyperbolic system besides some lower order terms which do not affect the well-posedness of the system. Numerical simulations validate the accuracy and efficiency of the unsplit-field PML.
引用
收藏
页码:1761 / 1776
页数:16
相关论文
共 31 条
  • [1] A well-posed unsplit PML model for linearized Euler equations
    Rahmouni, A
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (02): : 159 - 164
  • [2] A Strongly Well-Posed PML in Lossy Media
    Fan, Guo-Xin
    Liu, Qing Huo
    [J]. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2003, 2 : 97 - 100
  • [3] Unsplit-field FDTD implementations of the PML using DSP algorithms
    Ramadan, O
    [J]. 2003 IEEE International Symposium on Electromagnetic Compatibility (EMC), Vols 1 and 2, Symposium Record, 2003, : 856 - 858
  • [4] Unsplit-field PML algorithm for truncating nonlinear FDTD domains
    Ramadan, O
    [J]. INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, 2005, 26 (08): : 1151 - 1161
  • [5] Unsplit-Field PML Algorithm for Truncating Nonlinear FDTD Domains
    Omar Ramadan
    [J]. International Journal of Infrared and Millimeter Waves, 2005, 26 : 1151 - 1161
  • [6] Pseudospectral time-domain (PSTD) method with unsplit-field PML
    Leung, YF
    Chan, CH
    [J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1999, 22 (04) : 278 - 283
  • [7] Well-Posed Formulations for Nonholonomic Mechanical System Dynamics
    Haug, Edward J.
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2020, 15 (10):
  • [8] Unsplit-field higher-order nearly PML for arbitrary media in EM simulation
    Jiang Haolin
    Xie Yongjun
    Wu Peiyu
    Zhang Jianfeng
    Niu Liqiang
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2021, 32 (01) : 1 - 6
  • [9] Unsplit-field higher-order nearly PML for arbitrary media in EM simulation
    JIANGHaolin
    XIEYongjun
    WUPeiyu
    ZHANGJianfeng
    NIULiqiang
    [J]. Journal of Systems Engineering and Electronics, 2021, 32 (01) : 1 - 6
  • [10] Well-posed variational formulations of Friedrichs-type systems
    Berggren, Martin
    Hagg, Linus
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 292 : 90 - 131