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By embedding a capacity-variable diode into a split ring resonator (SRR), it is found that the effective capacitance of such an SRR element can be varied by the biased voltage of diode. Therefore the resonance frequency and effective permeability of an SRR element can be tuned. Based on these results, a smart microwave magnetic metamaterial is proposed. Employing the finite-difference time-domain and retrieval method, the variations of resonance frequency and permeability of the SRR element are simulated and calculated by changing the biased voltage. It is found that with the decrease of capacitance due to the increase of biased voltage, the resonance frequencies are shifted towards lower values, and so are the resonance frequencies of permeability dispersion. Finally, the difference in permeability dispersion behavior between SRR structure and natural magnetic material (for instance, ferrite) has been pointed out.
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Keywords:
- metamaterials /
- microwave permeability
[1] Wang X, Zheng F, Liu Z Y, Liu X X, Wei D, Wei F L 2009 J. Appl. Phys. 105 07B714
[2] Ledieu M, Schoenstein F, Le Gallou J H, Valls O, Queste S, Duverger F, Acher O 2003 J. Appl. Phys. 93 7202
[3] [4] [5] Xie J L, Han M G, Chen L, Kuang R X, Deng L J 2007 J. Magn. Magn. Mater. 314 37
[6] Kim S S, Kim S T, Yoon Y C, Lee K S 2005 J. Appl. Phys. 97 10F905
[7] [8] Deng L J, Han M G 2007 Appl. Phys. Lett. 91 023119
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[12] Chen W B, Han M G, Deng L J 2010 Acta Phys. Sin. 60 712 (in Chinese) [陈文兵、韩满贵、邓龙江 2010 60 712]
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[16] Tsutaoka T 2003 J. Appl. Phys. 93 2789
[17] [18] [19] Li B W, Shen Y, Yue Z X, Nan C W 2007 J. Magn. Magn. Mater. 313 322
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[22] Han M G, Lu H P, Deng L J 2010 Appl. Phys. Lett. 97 192507
[23] [24] Han M G, Ou Y, Liang D F, Deng L J 2009 Chin. Phys. B 18 1261
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[28] Veselago V G 1968 Sov. Phys. Usp. 10 509
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[34] [35] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett.76 4733
[36] [37] Fu F Y, Chen W, Zhou W J, Liu A J, Xing M X, Wang Y F, Zheng W H 2010 Acta Phys. Sin. 59 8579 (in Chinese) [付非亚、陈 微、周文君、刘安金、邢名欣、王宇飞、郑婉华 2010 物 理学报 59 8579]
[38] Kabashin A V, Evans P, Pastkovsky S, Hendren W, Wurtz G A, Atkinson R, Pollard R, Podolskiy V A, Zayats A V 2009 Nature Mater. 8 867
[39] [40] [41] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[42] Xiang J K, Ma Z H, Zhao Y, Zhao X P 2010 Acta Phys. Sin. 59 4023 (in Chinese) [相建凯、马忠洪、赵 延、赵晓鹏 2010 59 4023]
[43] [44] Wen R M, Li L Y, Han K W, Sun X W 2010 Acta Phys. Sin. 59 4607 (in Chinese)[闻孺铭、李凌云、韩克武、孙晓玮 2010 59 4607]
[45] [46] Tang N J, Zhong W, Au C, Yang Y, Han M G, Lin K J, Du Y W 2008 J. Phys. Chem. C 112 19316
[47] [48] Lian L X, Deng L J, Han M, Tang W, Feng S D 2007 J. Appl. Phys.101 09M520
[49] [50] Zhao Q, Kang L, Du B, Li B, Zhou J 2007 Appl. Phys. Lett. 90 011112
[51] [52] [53] Hand T H, Gollub J, Sajuyigbe S, Cummer S A, Smith D R 2009 Appl. Phys. Lett. 93 212504
[54] [55] [56] Ai F, Bai Y, Xu F, Qiao L J, Zhou J 2008 Acta Phys. Sin. 57 4189(in Chinese)[艾 芬、白 洋、徐 芳、乔利杰、周 济 2008 57 4189]
[57] Wang M Y 2008 Ph. D. Dissertation (Chengdu:University of Electronic Science and Technology of China) (in Chinese) [王茂琰 2008 博士学位论文(成都:电子科技大学)]
[58] [59] Smith D R, Vier D C, Koschny Th, Soukoulis C M 2005 Phys. Rev. Lett.71 036617
[60] [61] [62] Chen X D, Tomasz M, Wu B I, Pacheco J, Kong J A 2004 Phys. Rev. Lett. 70 016608
[63] [64] Chen X D 2005 Ph. D. Dissertation (Hangzhou:Zhejiang University) (in Chinese)[陈旭东2005 博士学位论文(杭州:浙江大学)]
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[1] Wang X, Zheng F, Liu Z Y, Liu X X, Wei D, Wei F L 2009 J. Appl. Phys. 105 07B714
[2] Ledieu M, Schoenstein F, Le Gallou J H, Valls O, Queste S, Duverger F, Acher O 2003 J. Appl. Phys. 93 7202
[3] [4] [5] Xie J L, Han M G, Chen L, Kuang R X, Deng L J 2007 J. Magn. Magn. Mater. 314 37
[6] Kim S S, Kim S T, Yoon Y C, Lee K S 2005 J. Appl. Phys. 97 10F905
[7] [8] Deng L J, Han M G 2007 Appl. Phys. Lett. 91 023119
[9] [10] [11] Lubitz P, Rachford F J 2002 J. Appl. Phys. 91 7613
[12] Chen W B, Han M G, Deng L J 2010 Acta Phys. Sin. 60 712 (in Chinese) [陈文兵、韩满贵、邓龙江 2010 60 712]
[13] [14] [15] Li Z W, Chen L F, Ong C K 2003 J. Appl. Phys. 94 5918
[16] Tsutaoka T 2003 J. Appl. Phys. 93 2789
[17] [18] [19] Li B W, Shen Y, Yue Z X, Nan C W 2007 J. Magn. Magn. Mater. 313 322
[20] [21] Lagarkov A N, Rozanov K N, Simonov N A, Starostenko S S 2005 Handbook of Advanced Magnetic Materials (Beijing: Tsinghua University Press), Vol. 4, pp414-445
[22] Han M G, Lu H P, Deng L J 2010 Appl. Phys. Lett. 97 192507
[23] [24] Han M G, Ou Y, Liang D F, Deng L J 2009 Chin. Phys. B 18 1261
[25] [26] [27] Lee J J, Bae S, Hong Y K, Jalli J, Abo G S, Seong W M, Park S H, Choi C J, Lee J G 2009 J. Appl. Phys. 105 07A514
[28] Veselago V G 1968 Sov. Phys. Usp. 10 509
[29] [30] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075
[31] [32] [33] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[34] [35] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett.76 4733
[36] [37] Fu F Y, Chen W, Zhou W J, Liu A J, Xing M X, Wang Y F, Zheng W H 2010 Acta Phys. Sin. 59 8579 (in Chinese) [付非亚、陈 微、周文君、刘安金、邢名欣、王宇飞、郑婉华 2010 物 理学报 59 8579]
[38] Kabashin A V, Evans P, Pastkovsky S, Hendren W, Wurtz G A, Atkinson R, Pollard R, Podolskiy V A, Zayats A V 2009 Nature Mater. 8 867
[39] [40] [41] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[42] Xiang J K, Ma Z H, Zhao Y, Zhao X P 2010 Acta Phys. Sin. 59 4023 (in Chinese) [相建凯、马忠洪、赵 延、赵晓鹏 2010 59 4023]
[43] [44] Wen R M, Li L Y, Han K W, Sun X W 2010 Acta Phys. Sin. 59 4607 (in Chinese)[闻孺铭、李凌云、韩克武、孙晓玮 2010 59 4607]
[45] [46] Tang N J, Zhong W, Au C, Yang Y, Han M G, Lin K J, Du Y W 2008 J. Phys. Chem. C 112 19316
[47] [48] Lian L X, Deng L J, Han M, Tang W, Feng S D 2007 J. Appl. Phys.101 09M520
[49] [50] Zhao Q, Kang L, Du B, Li B, Zhou J 2007 Appl. Phys. Lett. 90 011112
[51] [52] [53] Hand T H, Gollub J, Sajuyigbe S, Cummer S A, Smith D R 2009 Appl. Phys. Lett. 93 212504
[54] [55] [56] Ai F, Bai Y, Xu F, Qiao L J, Zhou J 2008 Acta Phys. Sin. 57 4189(in Chinese)[艾 芬、白 洋、徐 芳、乔利杰、周 济 2008 57 4189]
[57] Wang M Y 2008 Ph. D. Dissertation (Chengdu:University of Electronic Science and Technology of China) (in Chinese) [王茂琰 2008 博士学位论文(成都:电子科技大学)]
[58] [59] Smith D R, Vier D C, Koschny Th, Soukoulis C M 2005 Phys. Rev. Lett.71 036617
[60] [61] [62] Chen X D, Tomasz M, Wu B I, Pacheco J, Kong J A 2004 Phys. Rev. Lett. 70 016608
[63] [64] Chen X D 2005 Ph. D. Dissertation (Hangzhou:Zhejiang University) (in Chinese)[陈旭东2005 博士学位论文(杭州:浙江大学)]
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