复杂色散介质电磁特性分析的扩展Newmark-FDTD方法

doi:10.19596/j.cnki.1001-246x.7547

计算物理 ›› 2017, Vol. 34 ›› Issue (6): 673-678.DOI: 10.19596/j.cnki.1001-246x.7547

复杂色散介质电磁特性分析的扩展Newmark-FDTD方法

张玉强

延安大学信息与通信工程研究所, 陕西延安 716000

收稿日期:2016-10-09 修回日期:2016-12-28 出版日期:2017-11-25 发布日期:2017-11-25
作者简介:张玉强(1970-),男,博士,副教授,从事计算电磁学研究,E-mail:ya_zyq@aliyun.com
基金资助:
国家自然科学基金重点项目（61401361）、陕西省教育厅专项科研计划项目（14JK1824）和陕西省高水平大学建设专项资金资助

Extended Newmark-FDTD Method for Analysis of Electromagnetic Characteristics of Complex Dispersive Media

ZHANG Yuqiang

School of Physics and Electronic Information, Yanan University, Yan'an 716000, China

Received:2016-10-09 Revised:2016-12-28 Online:2017-11-25 Published:2017-11-25

摘要/Abstract

摘要： 基于有限元中的Newmark算法，提出一种新的色散介质时域有限差分（FDTD）方法，称为扩展Newmark-FDTD方法，它不仅可以用统一的方式处理Debye、Drude、Lorentz等常见色散介质问题，还可以统一处理修正Lorentz、二阶复有理函数等新的色散模型及其混合模型问题，且具有更高的计算精度和较好的稳定性.最后，通过算例对该算法的有效性进行验证.

关键词: 色散介质, 电磁特性, 时域有限差分方法, Newmark算法

Abstract: A finite-difference time-domain (FDTD) method combined with Newmark algorithm in finite-element method for analysis of electromagnetic characteristics in dispersive media, named as extended Newmark-FDTD method, is presented. In the method, a unified time-domain updated formula can be applied to typical kind of dispersive model, i.e., Debye, Drude and Lorentz medium, and to novel dispersive models, i.e., modified Lorentz, quadratic complex rational function model and hybrid dispersive model as well, which has higher accuracy and better stability than traditional center difference scheme. Finally, validity of the algorithm is verified by several examples.

Key words: dispersive media, electromagnetic characteristics, finite difference time domain method, Newmark algorithm

中图分类号:

TN011

张玉强. 复杂色散介质电磁特性分析的扩展Newmark-FDTD方法[J]. 计算物理, 2017, 34(6): 673-678.

ZHANG Yuqiang. Extended Newmark-FDTD Method for Analysis of Electromagnetic Characteristics of Complex Dispersive Media[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(6): 673-678.

参考文献

[1] TAFLOVE A, HAGNESS S C. Computational electrodynamics:The finite difference time domain method[M]. 3rd ed. Norwood, MA,USA:Artech House, 2005.
[2] 葛德彪, 闫玉波.电磁波时域有限差分法[M]. 第三版.西安:西安电子科技大学出版社,2011.
[3] PARK S M, KIM E K, PARK Y B, et al. Parallel dispersive FDTD method based on the quadratic complex rational function[J]. IEEE Antennas and Wireless Propagation Letters, 2016, 15:425-428.
[4] HAN M H, DUTTON R W, FAN S H. Model dispersive media in finite-difference time-domain method with complex-conjugate pole-residue pairs[J]. IEEE Microwave and Wireless Components Letters, 2006, 16(3):119-221.
[5] VIAL A, LAROCHE T, DRIDI M, et al. A new model of dispersion for metals leading to a more accurate modeling of plasmonic structures using the FDTD method[J]. Applied Physics A, 2011,7.
[6] PROKOPEVA L J, BORNEMAN J D, KILDISHEV A V. Optical dispersion models for time-domain modeling of metal-dielectric nanostructures[J]. IEEE Trans on Magnetics, 2011, 47(5):1150-1153.
[7] KONSTANTINOS P, PROKOPIDIS, DIMITRIOS C Z. Investigation of the stability of ADE-FDTD methods for modified Lorentz media[J]. IEEE Microwave and Wireless Components Letters, 2014, 24(10):659-661.
[8] HA S G, CHO J, CHOI J, et al. FDTD dispersive modeling of human tissues based on quadratic complex rational function[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(2):996-999.
[9] WOLFRAM H P P, FRANK P P, GALLAGHER D F G. A general framework for the finite-difference time-domain simulation of real metals[J]. IEEE Trans on Antennas and Propagation, 2007, 55(3):916-923.
[10] PERNICE W H P, PAYNE F P, GALLAGHER D F G. An FDTD method for the simulation of dispersive metallic structures[J]. Optical and Quantum Electronics, 2007, 38:843-856.
[11] SHIBAYAMA J, WATANABE K, et al. Simple frequency-dependent FDTD algorithm for a Drude-critical points model[C]. Proceedings of Asia-Pacific Microwave Conference 2010.
[12] VIAL A. Implementation of the critical points model in the recursive convolution method for dispersive media modeling with the FDTD method[J]. J Opt A:Pure Appl Opt, 2007, 9(7):745-748.
[13] 张玉强,葛德彪. 色散金属光学特性分析通用时域有限差分方法[J]. 强激光与粒子束, 2014,26(2):21007.
[14] PROKOPIDIS K P, ZOGRAFOPOULOS D C. A unified FDTD/PML scheme based on critical-points for accurate studies of plasmonic structures[J]. Journal of Lightwave Technology, 2013, 31(15):2013-2467.
[15] PROKOPIDIS K, ZOGRAFOPOULOS D C. Efficient FDTD algorithms for dispersive Drude-critical points media based on bilinear z-transform[J]. Electron Lett, 2013,49(8):534-536.
[16] NEWMARK N M. A method of computation for structural dynamics[J]. J Engng Mech Diu, ASCE, 1959,85(EM3):67-94.
[17] 王飞, 魏兵,李林茜. 色散介质电磁特性时域有限差分分析的Newmark方法[J]. 物理学报, 2014,63(10):111-117.
[18] 郑奎松,罗欢,余慧,丁腾江. 分析水下目标的大比例变换总场散射场源FDTD方法[J]. 计算物理,2016,33(1):75-82.
[19] 叶珍宝,周海京. 高阶间断伽辽金时域有限元方法分析三维谐振腔[J]. 计算物理,2016,32(4):449-454.
[20] 叶珍宝,周海京. 基于高阶叠层矢量基函数的E-H时域有限元方法分析谐振腔和波导结构[J]. 计算物理,2016,33(3):333-340.
[21] LIU Q F, YIN W Y, MAO J F. Accurate characterization of shielding effectiveness of metallic enclosures with thin wires and thin slots[J]. IEEE Transactions on Electromagnetic Compatibility, 2009, 51(2):293-300.

复杂色散介质电磁特性分析的扩展Newmark-FDTD方法

Extended Newmark-FDTD Method for Analysis of Electromagnetic Characteristics of Complex Dispersive Media

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