On the FDTD Formulations for Modeling Wideband Lorentzian Media
On the FDTD Formulations for Modeling Wideband Lorentzian Media
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宽带洛伦兹介质建模的 FDTD 公式
DOI：
10.1109/tap.2011.2109677
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发表时间：
2011-01
影响因子：
5.7
通讯作者：
Zhang, Chunxi
中科院分区：
文献类型：
--
作者：
Lin, Zhili;Fang, Yuntuan;Hu, Ji;ong;Zhang, Chunxi
采用数值模拟复杂介质色散特性的几种常用方法，在二阶或四阶精度的时域有限差分(FDTD)格式下模拟了宽带洛伦兹(WBL)介质中波的传播。对这类弥散材料的实现算法和工作性能进行了研究和比较。分别推导了每种方法所对应的一般二阶离散数值模型的系数，并给出了实现这些方法的一组统一的FDTD更新方程。根据所给出的确定相应人工WBL介质的有效介电常数和磁导率的数值色散方程的分析结果和对一个典型的WBL介质的实际FDTD模拟的模拟结果，通过评估在二阶或四阶FDTD格式下结合上述两种方法的平面电磁脉冲波在WBL材料中的传播和传输函数的绝对误差，给出了这些方法的建模精度和稳定性极限。
Several popular numerical approaches for modeling the dispersion characteristics of complex media are applied to simulate the wave propagation in the wideband Lorentzian (WBL) media under the second-order or fourth-order accurate finite-difference time-domain (FDTD) formulation. Their implementing algorithms and work performance for this type of dispersive materials are studied and compared to each other. The coefficients of a general second-order discrete numerical model pertaining to each of these approaches are derived respectively and a unified set of FDTD updating equations for implementing them is presented. In light of the analytical results calculated from the given numerical dispersion equations that determines the effective permittivity and permeability of a corresponding artificial WBL medium and the simulation results from the practical FDTD simulations for an exemplified WBL medium, the modeling accuracy and stability limits of these approaches are presented by evaluating the absolute errors of both the propagation and transmission functions of a plane electromagnetic pulse wave propagating in the WBL material and transmitting through an interface between the vacuum and the WBL medium under the second-order or fourth-order FDTD formulation combined with each of the discussed approaches.
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DOI：
10.1364/josaa.11.001802
发表时间：
1994-06
影响因子：
1.9
作者：
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通讯作者：
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影响因子：
2.1
作者：
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通讯作者：
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发表时间：
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影响因子：
1.9
作者：
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通讯作者：
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DOI：
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发表时间：
1997-05
期刊：
IEEE Microwave and Guided Wave Letters
影响因子：
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作者：
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通讯作者：
M. Okoniewski;M. Mrozowski;M. Stuchly
影响因子：
2.6
作者：
Zhili Lin;P. Ou;Yudong Jia;Chunxi Zhang
通讯作者：
Zhili Lin;P. Ou;Yudong Jia;Chunxi Zhang