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In this paper, a design optimization method for left-handed materials with specific frequency bands is proposed. A microstructure of the left-handed material is constructed based on the transmission line theory, and the properties of this material are simulated numerically with the S-parameter retrieval method and analyzed with equivalent transmission line model. The effects of the size parameters of the microstructure on the left-handed characters are analyzed. The analysis results verify that this structure does exhibit left-handed characteristics with appropriately sized microstructure. Then the mathematical model of the microstructure with maximized frequency band-width and lower loss at given frequencies is proposed, and examples are given. The design result confirms that the optimized model is applicable and accurate.
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Keywords:
- left-handed materials /
- microstructure design /
- transmission line theory /
- design optimization
[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[3] Seddon N, Bearpark T 2003 Science 302 1537
[4] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[5] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, StarrA F, Smith D R 2006 Sience 314 977
[6] Tang M C, Xiao S Q, Guan J, Bai Y Y, Gao S S, Wang B Z 2010Chin. Phys. B 19 074214
[7] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S2000 Phys. Rev. Lett. 84 4184
[8] Sun M Z, Zhang C M, Song X P 2010 Acta Phys. Sin. 59 5444 (inChinese) [孙明昭, 张淳民, 宋晓平 2010物理学报 59 5444]
[9] Zhang H X, Bao Y F, Lü Y H, Chen T M, Wang H X 2008 Chin.Phys. B 17 1645
[10] Guo Y S, Zhang X F 2010 Acta Phys. Sin. 59 8584 (in Chinese)
[11] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (inChinese) [刘亚红, 罗春荣, 赵晓鹏 2007物理学报 56 5883]
[12] Chen C H, Qu S B,Wang J F, Ma H,Wang X H, Xu Z 2011 Chin.Phys. B 20 034101
[13] Eleftheriades G V, Siddiqui O, Iyer A K 2003 IEEE Microw. WirelessComponents Lett. 13 51
[14] Gao R J, Shi P F, Liu S T, Duan Y P, Tang Z A 2010 Acta Phys.Sin. 59 8566 (in Chinese) [高仁璟, 史鹏飞, 刘书田,段玉平, 唐祯安 2010 物理学报 59 8566]
[15] Wang J F, Qu S B, Xu Z, Ma H, Yang Y M, Gu C 2008 J. AirForce Eng. Univ. 9 79 (in Chinese) [王甲富,屈绍波, 徐 卓, 马 华, 杨一鸣, 顾 超 2008 空军工程大学学报 9 79]
[16] Smith D R, Vier D C, Koschny T, Soukoulis C M 2005 Phys. Rev.E 71 036617
[17] CuiWZ, MaW, Qiu L D, Zhang H T 2008 Electromagnetic Metamaterialsand its Applications (Vol. 1) (Beijing: National DefenseIndustry Press) p58 (in Chinese) [崔万照, 马伟, 邱乐德,张洪太 2008 电磁超介质及其应用 (第一版) (北京:国防工业出版社)第58页]
[18] Chen H S, Ran L X, Huangfu J T 2006 J. Appl. Phys. 100 024915
[19] Zhou J F 2008 Ph. D. Dissertation (Ames: Iowa State University)
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[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[3] Seddon N, Bearpark T 2003 Science 302 1537
[4] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[5] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, StarrA F, Smith D R 2006 Sience 314 977
[6] Tang M C, Xiao S Q, Guan J, Bai Y Y, Gao S S, Wang B Z 2010Chin. Phys. B 19 074214
[7] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S2000 Phys. Rev. Lett. 84 4184
[8] Sun M Z, Zhang C M, Song X P 2010 Acta Phys. Sin. 59 5444 (inChinese) [孙明昭, 张淳民, 宋晓平 2010物理学报 59 5444]
[9] Zhang H X, Bao Y F, Lü Y H, Chen T M, Wang H X 2008 Chin.Phys. B 17 1645
[10] Guo Y S, Zhang X F 2010 Acta Phys. Sin. 59 8584 (in Chinese)
[11] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (inChinese) [刘亚红, 罗春荣, 赵晓鹏 2007物理学报 56 5883]
[12] Chen C H, Qu S B,Wang J F, Ma H,Wang X H, Xu Z 2011 Chin.Phys. B 20 034101
[13] Eleftheriades G V, Siddiqui O, Iyer A K 2003 IEEE Microw. WirelessComponents Lett. 13 51
[14] Gao R J, Shi P F, Liu S T, Duan Y P, Tang Z A 2010 Acta Phys.Sin. 59 8566 (in Chinese) [高仁璟, 史鹏飞, 刘书田,段玉平, 唐祯安 2010 物理学报 59 8566]
[15] Wang J F, Qu S B, Xu Z, Ma H, Yang Y M, Gu C 2008 J. AirForce Eng. Univ. 9 79 (in Chinese) [王甲富,屈绍波, 徐 卓, 马 华, 杨一鸣, 顾 超 2008 空军工程大学学报 9 79]
[16] Smith D R, Vier D C, Koschny T, Soukoulis C M 2005 Phys. Rev.E 71 036617
[17] CuiWZ, MaW, Qiu L D, Zhang H T 2008 Electromagnetic Metamaterialsand its Applications (Vol. 1) (Beijing: National DefenseIndustry Press) p58 (in Chinese) [崔万照, 马伟, 邱乐德,张洪太 2008 电磁超介质及其应用 (第一版) (北京:国防工业出版社)第58页]
[18] Chen H S, Ran L X, Huangfu J T 2006 J. Appl. Phys. 100 024915
[19] Zhou J F 2008 Ph. D. Dissertation (Ames: Iowa State University)
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