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Through connecting split and closed rings together, a three-dimensional magnetic metamaterial is proposed in this paper. When the electric field of the induced electromagnetic wave is perpendicular to the dielectric board, this construction exhibits negative effective permeability. Its magnetic resonant frequency is insensitive to the variation of the width of the metallic wires, which facilitates practical fabrications and applications. Meanwhile this construction is of significance for designing polarization-independent and isotropic magnetic and left-handed metamaterials.
[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[3] [4] [5] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Techn. 47 2075
[6] [7] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[8] [9] Zhou J, Koschny T, Kafesaki M, Economou E N, Pendry J B, Soukoulis C M 2005 Phys. Rev. Lett. 95 223902
[10] Zhang F L, Zhao X P 2007 Acta Phys. Sin. 56 4661 (in Chinese)[张富利、 赵晓鹏 2007 56 4661]
[11] [12] [13] Wang J F, Qu S B, Xu Z, Zhang J Q, Ma H, Yang Y M, Gu C 2009 Acta Phys. Sin. 58 3324 (in Chinese)[王甲富、 屈绍波、 徐 卓、 张介秋、 马 华、 杨一鸣、 顾 超 2009 58 3324]
[14] [15] Wang J F, Qu S B, Xu Z, Ma H, Xia S, Yang Y M, Wu X, Wang Q, Chen C H 2010 Phys. Rev. E 81 036601
[16] Chen H S, Ran L X, Huangfu J T, Zhang X M, Chen K S, Grzegorczyk T M, Kong J A 2005 Appl. Phys. Lett. 86 151909
[17] [18] Enkrich C, Wegener M, Linden S, Burger S, Zschiedrich L, Schmidt F, Zhou J, Koschny T, Soukoulis C M 2005 Phys. Rev. Lett. 95 203901
[19] [20] [21] Verney E, Sauviac B, Simovski C R 2004 Phys. Lett. A 331 244
[22] Zhou J, Zhang L, Tuttle G, Koschny T, Soukoulis C M 2006 Phys. Rev. B 73 041101
[23] [24] Sellier A, Burokur S N, Kant B, Lustrac A 2009 Opt. Express 17 6301
[25] [26] Zhou J, Koschny T, Zhang L, Tuttle G, Soukoulis C M 2006 Appl. Phys. Lett. 88 221103
[27] [28] [29] Kafesaki M, Tsiapa I, Katsarakis N, Koschny T, Soukoulis C M, Economou E N 2007 Phys. Rev. B 75 235114
[30] [31] Ku Z, Zhang J, Brueck S R J 2009 Opt. Express 17 6782
[32] [33] Carsten R, Christoph M, Thomas P, Thomas P, Falk L 2008 Phys. Rev. B 78 155102
[34] [35] Minovich A, Neshev D N, Powell D A, Shadrivov I V, Lapine M, McKerracher I, Hattori H T, Tan H H, Jagadish C, Kivshar Y S 2010 Phys. Rev. B 81 115109
[36] Wang J F, Qu S B, Xu Z, Zhang J Q, Yang Y M, Ma H 2008 Acta Phys. Sin. 57 5015 (in Chinese)[王甲富、 屈绍波、 徐 卓、 张介秋、 杨一鸣、 马 华 2008 57 5015]
[37] [38] [39] Li Z F, Aydin K, Ozbay E 2009 Phys. Rev. E 79 026610
[40] Koschny T, Marko P, Economou E N, Smith D R, Vier D C, Soukoulis C M 2005 Phys. Rev. B 71 245105
[41] [42] Lam V D, Kim J B, Lee S J, Leea Y P 2008 J. Appl. Phys. 103 033107
[43] -
[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[3] [4] [5] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Techn. 47 2075
[6] [7] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[8] [9] Zhou J, Koschny T, Kafesaki M, Economou E N, Pendry J B, Soukoulis C M 2005 Phys. Rev. Lett. 95 223902
[10] Zhang F L, Zhao X P 2007 Acta Phys. Sin. 56 4661 (in Chinese)[张富利、 赵晓鹏 2007 56 4661]
[11] [12] [13] Wang J F, Qu S B, Xu Z, Zhang J Q, Ma H, Yang Y M, Gu C 2009 Acta Phys. Sin. 58 3324 (in Chinese)[王甲富、 屈绍波、 徐 卓、 张介秋、 马 华、 杨一鸣、 顾 超 2009 58 3324]
[14] [15] Wang J F, Qu S B, Xu Z, Ma H, Xia S, Yang Y M, Wu X, Wang Q, Chen C H 2010 Phys. Rev. E 81 036601
[16] Chen H S, Ran L X, Huangfu J T, Zhang X M, Chen K S, Grzegorczyk T M, Kong J A 2005 Appl. Phys. Lett. 86 151909
[17] [18] Enkrich C, Wegener M, Linden S, Burger S, Zschiedrich L, Schmidt F, Zhou J, Koschny T, Soukoulis C M 2005 Phys. Rev. Lett. 95 203901
[19] [20] [21] Verney E, Sauviac B, Simovski C R 2004 Phys. Lett. A 331 244
[22] Zhou J, Zhang L, Tuttle G, Koschny T, Soukoulis C M 2006 Phys. Rev. B 73 041101
[23] [24] Sellier A, Burokur S N, Kant B, Lustrac A 2009 Opt. Express 17 6301
[25] [26] Zhou J, Koschny T, Zhang L, Tuttle G, Soukoulis C M 2006 Appl. Phys. Lett. 88 221103
[27] [28] [29] Kafesaki M, Tsiapa I, Katsarakis N, Koschny T, Soukoulis C M, Economou E N 2007 Phys. Rev. B 75 235114
[30] [31] Ku Z, Zhang J, Brueck S R J 2009 Opt. Express 17 6782
[32] [33] Carsten R, Christoph M, Thomas P, Thomas P, Falk L 2008 Phys. Rev. B 78 155102
[34] [35] Minovich A, Neshev D N, Powell D A, Shadrivov I V, Lapine M, McKerracher I, Hattori H T, Tan H H, Jagadish C, Kivshar Y S 2010 Phys. Rev. B 81 115109
[36] Wang J F, Qu S B, Xu Z, Zhang J Q, Yang Y M, Ma H 2008 Acta Phys. Sin. 57 5015 (in Chinese)[王甲富、 屈绍波、 徐 卓、 张介秋、 杨一鸣、 马 华 2008 57 5015]
[37] [38] [39] Li Z F, Aydin K, Ozbay E 2009 Phys. Rev. E 79 026610
[40] Koschny T, Marko P, Economou E N, Smith D R, Vier D C, Soukoulis C M 2005 Phys. Rev. B 71 245105
[41] [42] Lam V D, Kim J B, Lee S J, Leea Y P 2008 J. Appl. Phys. 103 033107
[43]
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