ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Dual-band left-handed metamaterials fabricated by using tree-shaped fractal |
Xu He-Xiu (许河秀)a, Wang Guang-Ming (王光明)a, Wang Jia-Fu (王甲富)b, Yang Zi-Mu (杨自牧)a |
a Missile Institute, Air Force Engineering University, Xi'an 710051, China; b College of Science, Air Force Engineering University, Xi'an 710051, China |
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Abstract A method of fabricating dual-band left-handed metematerials (LHMs) is investigated numerically and experimentally by single-sided tree-like fractals. The resulting structure features multiband magnetic resonances and two electric resonances. By appropriately adjusting the dimensions, two left-handed (LH) bands with simultaneous negative permittivity and permeability are engineered and are validated by full-wave eigenmode analysis and measurement as well in the microwave frequency range. To study the multi-resonant mechanism in depth, the LHM is analysed from three different perspectives of field distribution analysis, circuit model analysis, and geometrical parameters evaluation. The derived formulae are consistent with all simulated results and resulting electromagnetic phenomena, indicating the effectiveness of the established theory. The method provides an alternative to the design of multi-band LHM and has the advantage of not requiring two individual resonant particles and electrically continuous wires, which in turn facilitates planar design and considerably simplifies the fabrication.
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Received: 06 April 2012
Revised: 11 June 2012
Accepted manuscript online:
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PACS:
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41.20.Jb
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(Electromagnetic wave propagation; radiowave propagation)
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42.25.Bs
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(Wave propagation, transmission and absorption)
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73.20.Mf
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(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))
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78.67.Pt
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(Multilayers; superlattices; photonic structures; metamaterials)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60971118) and the Innovation Foundation for Postgraduate's Dissertation of Air Force Engineering University, China (Grant No. DY12101). |
Corresponding Authors:
Xu He-Xiu
E-mail: hxxu20008@yahoo.cn
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Cite this article:
Xu He-Xiu (许河秀), Wang Guang-Ming (王光明), Wang Jia-Fu (王甲富), Yang Zi-Mu (杨自牧) Dual-band left-handed metamaterials fabricated by using tree-shaped fractal 2012 Chin. Phys. B 21 124101
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