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A structure of two-dimensional incident left-handed metamaterial composed of double Σ-shaped metal strips is proposed. The structure consists of a dielectric substrate and two anti-symmetrical Σ-shaped metal strips on each side of it, and the structure presents double negative properties (εμ<0), with electromagnetic waves being incident parallel or perpendicular to the substrate. With HFSS software, the two-dimensional incident left-handed properties of the structure are analyzed and verified in X waveband by means of spectrum analysis and effective parameters extracted from S parameters. The two-dimensional incident properties of the structure widen electromagnetic wave angle and are also of reference value for developing multi-dimensional incidence of the metamaterial.
[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 418
[3] Shelby R A, Smith D R, Schulz S 2001 Science 292 77
[4] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[5] Ma H, Qu S B, Xu Z, Wang J F 2008 Opt. Express 16 15449
[6] Zhou H, Pei Z B, Qu S B, Zhang S, Wang J F, Li Q, Xu Z 2009 J. Electromagn. Waves Appl. 23 953
[7] Ma H, Qu S B, Xu Z, Zhang J Q, Chen B W, Wang J F 2008 Phys. Rev. A 78 036608
[8] Grzegorczyk T M, Moss C D, Lu Jie, Chen X D, Pacheco J Jr, Kong J A 2005 IEEE Trans. Microwave Theory Tech. 53 2956
[9] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红, 罗春荣, 赵晓鹏 2007 56 5883]
[10] Ran L, Huangfu J, Chen H, Li Y, Zhang X, Chen K, Kong J A 2004 Phys. Rev. B 70 073102
[11] Chen H S, Ran L X, Huangfu J T, Zhang X M, Chen K S 2004 Phys. Rev. E 70 057605
[12] Zhang S, Qu S B, Ma H, Xie F, Xu Z 2009 Acta Phys. Sin. 58 3961 (in Chinese) [张松, 屈绍波, 马华, 谢峰, 徐卓 2009 58 3961]
[13] Zhou J F, Zhang L, Tuttle G, Koschny T, Soukoulis C M 2006 Phys. Rev. B 73 041101
[14] Zhang Y P, Zhao X P, Bao S, Luo C R 2010 Acta Phys. Sin. 59 6078 (in Chinese) [张燕萍, 赵晓鹏, 保石, 罗春荣 2010 59 6078]
[15] Mary A, Rodrigo S G, Garcia-Vidal F J, Martin-Moreno L 2008 Phys. Rev. Lett. 101 103902
[16] Menzel C, Paul T, Rockstuhl C, Pertsch T, Tretyakov S, Lederer F 2010 Phys. Rev. B 81 035320
[17] Guo Y S, Zhang X F 2010 Acta Phys. Sin. 59 8584 (in Chinese) [郭云胜, 张雪峰 2010 59 8584]
[18] Chen C H, Qu S B, Xu Z, Wang J F, Ma H, Zhou H 2010 Acta Phys. Sin. 60 024101 (in Chinese) [陈春晖, 屈绍波, 徐卓, 王甲富, 马华, 周航 2010 60 024101]
[19] Ziolkowski R W 2003 IEEE Trans. Ante. Prop. 51 1516
[20] Smith D R, Vier D C, Koschny Th, Soukoules C M 2005 Phys. Rev. E 71 036617
[21] Szabó Z, Park G H, Hedge R, Li E P 2010 IEEE Trans. Microwave Theory Tech. 58 2646
[22] Kafesaki M, Tsiapa I, Katsarakis N, Koschny T 2007 Phys. Rev. B 75 235114
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[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 418
[3] Shelby R A, Smith D R, Schulz S 2001 Science 292 77
[4] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[5] Ma H, Qu S B, Xu Z, Wang J F 2008 Opt. Express 16 15449
[6] Zhou H, Pei Z B, Qu S B, Zhang S, Wang J F, Li Q, Xu Z 2009 J. Electromagn. Waves Appl. 23 953
[7] Ma H, Qu S B, Xu Z, Zhang J Q, Chen B W, Wang J F 2008 Phys. Rev. A 78 036608
[8] Grzegorczyk T M, Moss C D, Lu Jie, Chen X D, Pacheco J Jr, Kong J A 2005 IEEE Trans. Microwave Theory Tech. 53 2956
[9] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红, 罗春荣, 赵晓鹏 2007 56 5883]
[10] Ran L, Huangfu J, Chen H, Li Y, Zhang X, Chen K, Kong J A 2004 Phys. Rev. B 70 073102
[11] Chen H S, Ran L X, Huangfu J T, Zhang X M, Chen K S 2004 Phys. Rev. E 70 057605
[12] Zhang S, Qu S B, Ma H, Xie F, Xu Z 2009 Acta Phys. Sin. 58 3961 (in Chinese) [张松, 屈绍波, 马华, 谢峰, 徐卓 2009 58 3961]
[13] Zhou J F, Zhang L, Tuttle G, Koschny T, Soukoulis C M 2006 Phys. Rev. B 73 041101
[14] Zhang Y P, Zhao X P, Bao S, Luo C R 2010 Acta Phys. Sin. 59 6078 (in Chinese) [张燕萍, 赵晓鹏, 保石, 罗春荣 2010 59 6078]
[15] Mary A, Rodrigo S G, Garcia-Vidal F J, Martin-Moreno L 2008 Phys. Rev. Lett. 101 103902
[16] Menzel C, Paul T, Rockstuhl C, Pertsch T, Tretyakov S, Lederer F 2010 Phys. Rev. B 81 035320
[17] Guo Y S, Zhang X F 2010 Acta Phys. Sin. 59 8584 (in Chinese) [郭云胜, 张雪峰 2010 59 8584]
[18] Chen C H, Qu S B, Xu Z, Wang J F, Ma H, Zhou H 2010 Acta Phys. Sin. 60 024101 (in Chinese) [陈春晖, 屈绍波, 徐卓, 王甲富, 马华, 周航 2010 60 024101]
[19] Ziolkowski R W 2003 IEEE Trans. Ante. Prop. 51 1516
[20] Smith D R, Vier D C, Koschny Th, Soukoules C M 2005 Phys. Rev. E 71 036617
[21] Szabó Z, Park G H, Hedge R, Li E P 2010 IEEE Trans. Microwave Theory Tech. 58 2646
[22] Kafesaki M, Tsiapa I, Katsarakis N, Koschny T 2007 Phys. Rev. B 75 235114
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