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Chin. Phys. B, 2014, Vol. 23(3): 034202    DOI: 10.1088/1674-1056/23/3/034202

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

Wang Ying-Qia b, Wang Yan-Huac, Zheng Xian-Huab, Ye Jia-Shengb, Zhang Yana b, Liu Shu-Tiana
a Department of Physics, Harbin Institute of Technology, Harbin 150001, China;
b Department of Physics, Capital Normal University, Beijing 100048, China;
c Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, China
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      Published:  15 March 2014
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:;

Cite this article: 

Wang Ying-Qi, Wang Yan-Hua, Zheng Xian-Hua, Ye Jia-Sheng, Zhang Yan, Liu Shu-Tian Transmission through array of subwavelength metallic slits curved with a single step or multi-step 2014 Chin. Phys. B 23 034202

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