Transmission through array of subwavelength metallic slits curved with a single step or multi-step

doi:10.1088/1674-1056/23/3/034202

Abstract The transmission of normally incident plane wave through an array of subwavelength metallic slits curved with a single step or mutli-step has been explored theoretically. The transmission spectrum is simulated by using the finite-difference time-domain method. The influences of surface plasmon polaritons make the end of finite long sub-wavelength metallic slit behaves as magnetic-reflecting barrier. The electromagnetic fields in the subwavelength metallic slits are the superposition of standing wave and traveling wave. The standing electromagnetic oscillation behaves like LC oscillating circuit to decide the resonance wavelength. Therefore, the parameters of adding step may change the LC circuit and influence the transmission wavelength. A new explanation model is proposed in which the resonant wavelength is decided by four factors: the changed length for electric field, the changed length for magnetic field, the effective coefficient of capacitance, and the effective coefficient of inductance. The effect of adding step is presented to analyze the interaction of two steps in slit with mutli-step. This explanation model has been proved by the transmission through arrayed subwavelength metallic slits curved with two steps and fractal steps. All calculated results are well explained by our proposed model.

Keywords: surface plasmon polaritons metal optics

Received: 17 April 2013
Revised: 01 August 2013
Accepted manuscript online:

PACS:	42.25.Bs	(Wave propagation, transmission and absorption)
	78.20.Bh	(Theory, models, and numerical simulation)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2011CB301801), the National Natural Science Foundation of China (Grant Nos. 10904099, 11174211, 11204188, and 61205097), and the Natural Science Foundation of Beijing, China (Grant No. KZ201110028035).

Corresponding Authors: Wang Ying-Qi, Zhang Yan
E-mail: wangyingqi.hit@gmail.com;yzhang@mail.cnu.edu.cn

Cite this article:

Wang Ying-Qi (王瑛琪), Wang Yan-Hua (王艳花), Zheng Xian-Hua (郑显华), Ye Jia-Sheng (叶佳声), Zhang Yan (张岩), Liu Shu-Tian (刘树田) Transmission through array of subwavelength metallic slits curved with a single step or multi-step 2014 Chin. Phys. B 23 034202

[1]	Ebbesen T W, Lezec H J, Ghaemi H F, Thio T and Wolff P A 1998 Nature 391 667
[2]	Lezec H J, Degiron A, Devaux E, Linke R A, Martin-Moreno L, Garcia-Vidal F J and Ebbesen T W 2002 Science 297 820
[3]	Barnes W L, Dereux A and Ebbesen T W 2003 Nature 424 824
[4]	Matsui T, Agrawal A, Nahata A and Vardeny Z V 2007 Nature 446 517
[5]	Genet C and Ebbesen T W 2007 Nature 445 39
[6]	Dintinger J, Klein S, Bustos F, Barnes W L and Ebbesen T W 2005 Phys. Rev. B 71 035424
[7]	Barnes W L, Murray W A, Dintinger J, Devaux E and Ebbesen T W 2004 Phys. Rev. Lett. 92 107401
[8]	Miyamaru F and Hangyo M 2005 Phys. Rev. B 71 165408
[9]	Qu D X and Grischkowsky D 2004 Phys. Rev. Lett. 93 196804
[10]	Rivas J G, Schotsch C, Bolivar P H and Kurz H 2003 Phys. Rev. B 68 201306
[11]	Astilean S, Lalanne P and Palamaru M 2000 Opt. Commun. 175 265
[12]	Takakura Y 2001 Phys. Rev. Lett. 86 5601
[13]	Cao Q and Lalanne P 2002 Phys. Rev. Lett. 88 057403
[14]	Lalanne P, Sauvan C, Hugonin J P, Rodier J C and Chavel P 2003 Phys. Rev. B 68 125404
[15]	Lee K G and Park Q H 2005 Phys. Rev. Lett. 95 103902
[16]	Tsai M W, Chuang T H, Meng C Y, Chang Y T and Lee S C 2006 Appl. Phys. Lett. 88 071114
[17]	Suckling J R, Hibbins A P, Lockyear M J, Preist T W and Sambles J R 2004 Phys. Rev. Lett. 92 147401
[18]	Xie Y, Zakharian A, Moloney J and Mansuripur M 2005 Opt. Express 13 4485
[19]	Cheng C, Chen J, Wu Q Y, Ren F F, Xu J, Fan Y X and Wang H T 2007 Appl. Phys. Lett. 91 111111
[20]	Ginzburg P and Orenstein M 2007 Opt. Express 15 6762
[21]	Shi H F, Wang C T, Du C L, Luo X G, Dong X C and Gao H T 2005 Opt. Express 13 6815
[22]	Shao D B and Chen S C 2005 Appl. Phys. Lett. 86 253107
[23]	Sun Z and Kim H K 2004 Appl. Phys. Lett. 85 642
[24]	Lockyear M J, Hibbins A P and Sambles J R 2007 Appl. Phys. Lett. 91 251106
[25]	Wang Y H, Wang Y Q, Zhang Y and Liu S T 2009 Opt. Express 17 5014
[26]	Wang Y Q, Wang Y H, Ye J S, Zhang Y and Liu S T 2011 Opt. Commun. 284 877
[27]	Ge D B and Yan Y B 2003 Electromagnetic Algorithm: The Finite-Difference Time-Domain method (Beijing: Electronic Science and Technology University Press)
[28]	Taflove A and Hagness S C 2005 Computational Electrodynamics: The Finite-Difference Time-Domain Method (3rd edn.) (Boston: Artech House)
[29]	Baida F I and Labeke D V 2003 Phys. Rev. B 67 155314
[30]	Gray S K and Kupka T 2003 Phys. Rev. B 68 045415
[31]	Shao D B and Chen S C 2005 Opt. Express 13 6964
[32]	Hibbins A P, Lockyear M J and Sambles J R 2006 J. Appl. Phys. 99 124903
[33]	Liu H T and Lalanne P 2008 Nature 452 728

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Transmission through array of subwavelength metallic slits curved with a single step or multi-step

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