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首先提出了一种基于互补开口单环谐振器对(CSSRRP)的新型谐振式复合左右手传输线(CRLH TL)和其等效电路模型. 采用Bloch理论对等效电路进行了深入研究, 推导了CRLH TL工作于平衡态的计算公式. 通过等效电磁参数提取, 证明了该结构的负折射率与后向波传输特性. 其次在CSSRRP中引入Koch分形结构, 设计了工作于WiMAX波段的电小平衡零相移传输线. 最后基于设计的零相移传输线制作了一分四串联功分器. 对其进行测试, 测试结果与仿真结果完全符合, 从而验证了设计方法的正确性. 与传统统蜿蜒线状一分四功分器相比, 本文提出的功分器带宽有效展宽56%且尺寸缩减了42%. 基于分形CSSRRP的左手传输线必将在小型化无线通信系统中得到广泛应用.
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关键词:
- 互补开口单环谐振器对 /
- 复合左右手传输线 /
- 电小 /
- 等效电磁参数
A novel resonant-type composite right/left handed transmission line (CRLH TL) and its correlative lumped-element equivalent circuit model are presented based on complementary single split ring resonator pair (CSSRRP). The circuit model is investigated in depth through the Bloch theory, and the condition for balanced CRLH TL is derived. The negative refractive index and the backward wave propagation are demonstrated by the effective electromagnetic parameter retrieval. After that, a balanced electrically small CRLH TL with zero phase shift is designed at WiMAX (Worldwide Interoperability for Microwave Access) band by introducing the Koch fractal geometry into CSSRRP. For application, a series power divider is fabricated and measured. Consistent simulated and measured results confirm the design concept. The bandwidth of the proposed power divider is broadened by 56%, and the overall dimension is only 58% of its conventional counterpart based on meandered line. Thus novel CRLH TL based on fractal shape CSSRRP can be found to have an extensive application in future small-size wireless communication system.-
Keywords:
- CSSRRP /
- CRLH TL /
- electrically small /
- effective electromagnetic parameters
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[2] Smith D R, Padilla W J, Vier D C 2000 Phys. Rev. Lett. 84 4184
[3] Caloz C, Itoh T 2002 Proc. IEEE-AP Int’l Symp. 2 412
[4] Iyer A K, Eleftheriades G V 2002 IEEE-MTT Int’l Symp. 2 412
[5] Oliner A A 2002 IEEE-AP Int’l Symp. 41
[6] Xu S J, Zhu Q 2008 Journal of University of Science and technology of China 38 711 [徐善驾, 朱旗 2008中国科学技术大学学报 38 711]
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[8] Mao S G, Chueh Y Z. 2006 IEEE Trans. Antenn. Propag. 54 243
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[10] Vesna Crnojevic-Bengin, Vasa Radonic, Branka Jokanovic 2008 IEEE Trans. Micro. Theo. Tech. 56 2312
[11] Xu H X, Wang G M, Zhang C X 2010 Electron. Lett. 46 285
[12] Xu H X, Wang G m, Zhang C X, Hu Y 2010 Microwaves&rf 49 92
[13] Xu H X, Wang G m, Zhang C X 2010 ICMMT Proceedings 1658
[14] Wu M F, Meng F Y, Wu Q, Wu J 2006 Acta Phys. Sin. 55 5790 (in Chinese) [孟繁义, 吴群, 吴健 2006 55 5790]
[15] Wu M F, Meng F Y, Fu J H,Wu Q, Wu J 2008 Acta Phys. Sin. 57 822 (in Chinese) [武明峰, 孟繁义, 傅佳辉, 吴群, 吴健 2008 57 822]
[16] Messiha N T, Ghuniem A M, EL-Hennawy H M 2008 IEEE Microw. Wireless Compon. 18 575
[17] Isik O, Esselle K P 2008 IEEE Trans. Antennas Propag. 56 3173
[18] Yao H Y, Xu W, Li LW,Wu Q, Yeo T S 2005 IEEE Trans. Micro. Theo. Tech. 53 1469
[19] Pozar D M 1990 Microwave Engineering Reading (MA: Addison Wesley)
[20] Chen X d, Grzegorczyk T M,Wu B I 2004Phys. Rev. E 70 016608
[21] Antoniades M A, Eleftheriades G V 2005 IEEE Microw. Wireless Compon. Lett. 15 808
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[1] Veselago V G. 1968 Soviet Physics Uspekhi 10 509
[2] Smith D R, Padilla W J, Vier D C 2000 Phys. Rev. Lett. 84 4184
[3] Caloz C, Itoh T 2002 Proc. IEEE-AP Int’l Symp. 2 412
[4] Iyer A K, Eleftheriades G V 2002 IEEE-MTT Int’l Symp. 2 412
[5] Oliner A A 2002 IEEE-AP Int’l Symp. 41
[6] Xu S J, Zhu Q 2008 Journal of University of Science and technology of China 38 711 [徐善驾, 朱旗 2008中国科学技术大学学报 38 711]
[7] Christophe Caloz 2006 IEEE Microw. Wireless Compon. Lett. 16 585
[8] Mao S G, Chueh Y Z. 2006 IEEE Trans. Antenn. Propag. 54 243
[9] Falcone F, Lopetegi T, LasoMA G, Baena J D, Bonache J, Beruete M, Marque’s R, Martin F, Sorolla M 2004 Phys. Rev. Lett. 93 197401
[10] Vesna Crnojevic-Bengin, Vasa Radonic, Branka Jokanovic 2008 IEEE Trans. Micro. Theo. Tech. 56 2312
[11] Xu H X, Wang G M, Zhang C X 2010 Electron. Lett. 46 285
[12] Xu H X, Wang G m, Zhang C X, Hu Y 2010 Microwaves&rf 49 92
[13] Xu H X, Wang G m, Zhang C X 2010 ICMMT Proceedings 1658
[14] Wu M F, Meng F Y, Wu Q, Wu J 2006 Acta Phys. Sin. 55 5790 (in Chinese) [孟繁义, 吴群, 吴健 2006 55 5790]
[15] Wu M F, Meng F Y, Fu J H,Wu Q, Wu J 2008 Acta Phys. Sin. 57 822 (in Chinese) [武明峰, 孟繁义, 傅佳辉, 吴群, 吴健 2008 57 822]
[16] Messiha N T, Ghuniem A M, EL-Hennawy H M 2008 IEEE Microw. Wireless Compon. 18 575
[17] Isik O, Esselle K P 2008 IEEE Trans. Antennas Propag. 56 3173
[18] Yao H Y, Xu W, Li LW,Wu Q, Yeo T S 2005 IEEE Trans. Micro. Theo. Tech. 53 1469
[19] Pozar D M 1990 Microwave Engineering Reading (MA: Addison Wesley)
[20] Chen X d, Grzegorczyk T M,Wu B I 2004Phys. Rev. E 70 016608
[21] Antoniades M A, Eleftheriades G V 2005 IEEE Microw. Wireless Compon. Lett. 15 808
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