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Study of periodic dispersive structures using splitfield FDTD method

Lu Si-Long, Wu Xian-Liang, Ren Xin-Gang, Mei Yi-Cai, Shen Jing, Huang Zhi-Xiang
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• 摘要

利用辅助场时域有限差分(FDTD)方法分析色散周期结构的斜入射问题. 主要基于Floquet定理, 在FDTD迭代式中引入辅助场量, 结合变换的周期及吸收边界条件,解决了周期结构斜入射问题的电磁特性仿真. 进一步将辅助场FDTD方法引入至色散周期结构的模拟, 结合Z变换方法,给出了基于Drude色散模型的具体迭代公式. 数值计算结果表明所构建方法的有效性及普适应.

Abstract

The dispersive periodic structures are simulated by the split-field finite difference time domain (FDTD) method. According to the Floquet theorem, a set of auxiliary elements are introduced into the FDTD iteration to deal with electromagnetic simulation of oblique incidence on periodic structures, by combining the periodic and absorption boundary condition. We here extend the split-field method to the study of periodic dispersive structures by combining the Z transformation method. The iterative equations of the Drude dispersive model are also provided. By Comparing analytical and other numerical results, the efficiency and wide applicability of our method are demonstrated.

作者及机构信息

1. 安徽大学,计算智能与信号处理教育部重点实验室, 合肥 230039; 2. 合肥师范学院,物理与电子工程系, 合肥 230061
• 基金项目: 国家自然科学基金重点项目(批准号: 60931002, 61101064)、安徽省杰出青年基金(批准号: 1108085J01) 和安徽省高校重点项目(批准号: KJ2011A002, KJ2011A242)资助的课题.

Authors and contacts

1. Key Lab of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China; 2. Department of Physics and Electronic Engineering, Hefei Normal University, Hefei 230061, China
• Funds: Project supported by the Key Program of the National Natural Science Foundation of China (Grant Nos. 60931002,61101064), the Fund for Distinguished Young Scholars of Anhui Province(Grant Nos.1108085J01), and the Key Program of the Higher Education Institutions of Anhui Province(Grant No. KJ2011A002, KJ2011A242).

参考文献

 [1] Farahat N, Mittra R 2002 IEEE Antennas and Propagation society International Symposium 2 568 [2] Joannopoulos J D, Johnson S G, Winn J N Meade R D 2008 Photonic crystals: Molding the flow of light (2nd Ed.) (Princeton NJ: Princeton University Press) [3] Penciu R S, Aydin K, Kafesaki M, Koschny T, Ozbay E, Economou E N, Soukoulis C M 2008 Opt. Express 16 18131 [4] Taflove A, Hagness S C 2005 Computational Electrodynamics: The Finite-Difference Time-Domain Method (3rd Ed.) (Artech House) [5] Harms P, Mittra R, Ko W 1994 IEEE Trans. Antennas Propagate 42 1317 [6] Roden A, Gedney S D 1998 IEEE Transactions on Microwave Theory and Techniques 46 p420 [7] Chu Y, Schonbrun E, Yang T, Crozier K B 2008 App. Phys. Lett. 93 181108 [8] Malynych S, Chumanov G 2003 J. AM. Chem. Soc. 125 2896 [9] Sullivan D M 1992 IEEE Transactions on Antennas and Propagation 40 1223 [10] Belkhir A, Baida F I 2008 Phys. Rev. E 77 056701 [11] Vial A, Grimault A S, Macias D, Barchiesi D, Marc Lamy de la Chapelle 2005 Phys. Rev. B 71 085416 [12] Ren X G, Huang Z X, Wu X L, Lu S L, Wang H, Wu L, Li S 2012 Computer Physics Communications 183 1192

施引文献

•  [1] Farahat N, Mittra R 2002 IEEE Antennas and Propagation society International Symposium 2 568 [2] Joannopoulos J D, Johnson S G, Winn J N Meade R D 2008 Photonic crystals: Molding the flow of light (2nd Ed.) (Princeton NJ: Princeton University Press) [3] Penciu R S, Aydin K, Kafesaki M, Koschny T, Ozbay E, Economou E N, Soukoulis C M 2008 Opt. Express 16 18131 [4] Taflove A, Hagness S C 2005 Computational Electrodynamics: The Finite-Difference Time-Domain Method (3rd Ed.) (Artech House) [5] Harms P, Mittra R, Ko W 1994 IEEE Trans. Antennas Propagate 42 1317 [6] Roden A, Gedney S D 1998 IEEE Transactions on Microwave Theory and Techniques 46 p420 [7] Chu Y, Schonbrun E, Yang T, Crozier K B 2008 App. Phys. Lett. 93 181108 [8] Malynych S, Chumanov G 2003 J. AM. Chem. Soc. 125 2896 [9] Sullivan D M 1992 IEEE Transactions on Antennas and Propagation 40 1223 [10] Belkhir A, Baida F I 2008 Phys. Rev. E 77 056701 [11] Vial A, Grimault A S, Macias D, Barchiesi D, Marc Lamy de la Chapelle 2005 Phys. Rev. B 71 085416 [12] Ren X G, Huang Z X, Wu X L, Lu S L, Wang H, Wu L, Li S 2012 Computer Physics Communications 183 1192
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出版历程
• 收稿日期:  2012-03-14
• 修回日期:  2012-04-01

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