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

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

Abstract

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

CLC Number:

TN011

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.

References

[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.