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Non-Dissipative Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations

机译：时域麦克斯韦方程组的非耗散交错四阶精确显式有限差分格式

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摘要

We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference scheme for the hyperbolic Maxwell's equations. Special one-sided difference operators are derived in order to implement the scheme near metal boundaries and dielectric interfaces. Numerical results show the scheme is long-time stable, and is fourth-order convergent over complex domains that include dielectric interfaces and perfectly conducting surfaces. We also examine the scheme's behavior near metal surfaces that are not aligned with the grid axes, and compare its accuracy to that obtained by the Yee scheme.

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作者
Yefet, A. ; Petropoulos, P. G.;
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年度 1999
页码 1-28
总页数 28
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Maxwell equation; Staggering; Numerical analysis; Finite difference time domain method; Divergence; Hyperbolic differential equations; Metal surfaces; Partial differential equations; Dielectrics;

机译：麦克斯韦方程;交错;数值分析;时域有限差分法;发散;双曲微分方程;金属表面;偏微分方程;电介质;

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专利

1. An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations [J] . Zhongqiang Xie, Chi-Hou Chan Journal of Computational and Applied Mathematics . 2002,第1期

机译：麦克斯韦方程的显式四阶交错有限差分时域方法
2. Accuracy of the explicit planar free-surface boundary condition implemented in a fourth-order staggered-grid velocity-stress finite-difference scheme [J] . Gottschammer E., Olsen KB. Bulletin of the Seismological Society of America . 2001,第3期

机译：在四阶交错网格速度应力有限差分方案中实现的显式平面自由表面边界条件的精度
3. A hybrid finite-element/finite-difference method with an implicit- explicit time-stepping scheme for Maxwell's equations [J] . B. Zhu, J. Chen, W. Zhong, International journal of numerical modelling . 2012,第5a6期

机译：麦克斯韦方程组的隐式-显式时间步长混合有限元/差分方法
4. A fourth-order accurate staggered FD-TD scheme for Maxwell equations [C] . Xie, Z., Zhang, . 2000

机译：麦克斯韦方程组的四阶精确交错FD-TD方案
5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

机译：麦克斯韦方程组四阶精确有限差分时域解的数值边界条件。
6. Conservative finite-difference scheme for the problem of THz pulse interaction with multilevel layer covered by disordered structure based on the density matrix formalism and 1D Maxwell’s equation [O] . Vyacheslav A. Trofimov, Svetlana A. Varentsova, Irina G. Zakharova, 2012

机译：基于密度矩阵形式和一维麦克斯韦方程的无序结构覆盖的多层层太赫兹脉冲相互作用问题的守恒有限差分方案
7. An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations [O] . Xie Zhongqiang, Chan Chi-Hou, Zhang Bo 2002

机译：麦克斯韦方程组的显式四阶交错有限差分时域方法

Non-Dissipative Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations

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