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

doi:10.7498/aps.61.194701

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.

Keywords:

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).

References

[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

Cited By

[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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