搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

精确提取一维互易有限周期性结构色散特性的宏元胞法

龚建强 梁昌洪

引用本文:
Citation:

精确提取一维互易有限周期性结构色散特性的宏元胞法

龚建强, 梁昌洪

An accurate macro-cell-method for extracting dispersion characteristics of 1D reciprocal microwave structures with finite periodicity

Gong Jian-Qiang, Liang Chang-Hong
PDF
导出引用
  • 提出了一种可精确提取一维互易有限周期性结构色散特性的宏元胞法. 将多个周期性元胞组合构成单个“宏元胞”, 以严格考量元胞间的互耦效应, 通过Bloch分析分别计算出正向激励和反向激励时Bloch 波的本征传输因子ξN和1/ξN, 对ξN取复对数操作即可解出一维有限周期性结构的衰减常数α, 而复对数函数的多值性使得相移常数β存在多整数分支的选择问题. 通过与解卷绕法获得的β近似值相比较,选择出合理的整数分支, 可精确计算出β. 与传统的本征模式法、解卷绕法及单元胞法相比,宏元胞法对元胞间的耦合强度不作要求, 计算更加精确快速, 可作为刻画一维互易有限周期性结构色散和Bloch阻抗特性的有力工具.
    A novel macro-cell-method (MCM) has been proposed, which is capable of accurately extracting the dispersion characteristics of 1D reciprocal microwave structures with finite periodicity. In practice a single macro-cell consists of multiple periodic unit cells, therefore the electromagnetic coupling effects among unit cells can be rigorously considered. The eigen transfer factors ξN and 1/ξN corresponding to the forward and backward Bloch waves can be calculated in terms of the Bloch theory. Imposing complex logarithmic operation to ξN, the attenuation constant α can be univocally determined, while multiple integer branches exist in the solution of the phase shift constant β due to the multiroots property of the complex logarithm function. The rational integer branch is uniquely selected by comparing β from the MCM with that extracted from the unwrapping-method (UPM), regarding β from the UPM as the approximate value. Compared to the conventional eigenmode-method, UPM and single-cell-method, the MCM has no requirements to the coupling intensity among unit cells comprising finitely periodic structures, and with such good generality and accuracy, the MCM can be an effective tool for characterizing 1D reciprocal finitely periodic structures, facilitating their wide applications in microwave engineering.
    • 基金项目: 中央高校基本科研业务费专项资金(批准号:K5051202007)资助的课题.
    • Funds: Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. K5051202007).
    [1]

    Paulotto S, Baccarelli P, Frezza F, Jackson D R 2008 IEEE Trans. Micro. Theo. Tech. 56 2826

    [2]

    Caloz C, Itoh T 2006 Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications (Hoboken: John Wiley & Sons, Inc.) p115

    [3]

    Mao S G, Chen M Y 2003 IEEE Trans. Micro. Theo. Tech. 50 2624

    [4]

    Smith D R, Schultz S, Markoš P, Soukoulis C M 2002 Phys. Rev. B 65 195104

    [5]

    Szabó Z, Park G H, Hedge R, Li E P 2010 IEEE Trans. Micro. Theo. Tech. 58 2646

    [6]

    Gong J Q, Chu Q X 2008 J. Electromagn. Waves Appl. 22 1985

    [7]

    Pozar D M 2006 Microwave Engineering (3rd Ed.) (Beijing: Publishing House of Electronics Industry) p320 (in Chinese) [波扎 2006 微波工程 (第三版) (北京: 电子工业出版社) 第320页]

    [8]

    Menzel C, Rockstuhl C, Paul T, Lederer F, Pertsch T 2008 Phys. Rev. B 77 195328

    [9]

    Pyo S, Han S M, Baik J W, Kim Y S 2009 IEEE Trans. Micro. Theo. Tech. 57 2775

    [10]

    Valerio G, Paulotto S, Baccarelli P, Burghignoli P, Galli A 2011 IEEE Trans. Micro. Theo. Tech. 59 2188

    [11]

    Smith D R, Vier D C, Koschny T, Soukoulis C M 2005 Phys. Rev. E 71 036617

    [12]

    Caloz C, Itoh T 2004 IEEE Trans. Micro. Theo. Tech. 52 980

    [13]

    Gong J Q, Liang C H 2011 Acta Phys. Sin. 60 059204 (in Chinese) [龚建强, 梁昌洪 2011 物理学报 60 059204]

  • [1]

    Paulotto S, Baccarelli P, Frezza F, Jackson D R 2008 IEEE Trans. Micro. Theo. Tech. 56 2826

    [2]

    Caloz C, Itoh T 2006 Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications (Hoboken: John Wiley & Sons, Inc.) p115

    [3]

    Mao S G, Chen M Y 2003 IEEE Trans. Micro. Theo. Tech. 50 2624

    [4]

    Smith D R, Schultz S, Markoš P, Soukoulis C M 2002 Phys. Rev. B 65 195104

    [5]

    Szabó Z, Park G H, Hedge R, Li E P 2010 IEEE Trans. Micro. Theo. Tech. 58 2646

    [6]

    Gong J Q, Chu Q X 2008 J. Electromagn. Waves Appl. 22 1985

    [7]

    Pozar D M 2006 Microwave Engineering (3rd Ed.) (Beijing: Publishing House of Electronics Industry) p320 (in Chinese) [波扎 2006 微波工程 (第三版) (北京: 电子工业出版社) 第320页]

    [8]

    Menzel C, Rockstuhl C, Paul T, Lederer F, Pertsch T 2008 Phys. Rev. B 77 195328

    [9]

    Pyo S, Han S M, Baik J W, Kim Y S 2009 IEEE Trans. Micro. Theo. Tech. 57 2775

    [10]

    Valerio G, Paulotto S, Baccarelli P, Burghignoli P, Galli A 2011 IEEE Trans. Micro. Theo. Tech. 59 2188

    [11]

    Smith D R, Vier D C, Koschny T, Soukoulis C M 2005 Phys. Rev. E 71 036617

    [12]

    Caloz C, Itoh T 2004 IEEE Trans. Micro. Theo. Tech. 52 980

    [13]

    Gong J Q, Liang C H 2011 Acta Phys. Sin. 60 059204 (in Chinese) [龚建强, 梁昌洪 2011 物理学报 60 059204]

计量
  • 文章访问数:  4493
  • PDF下载量:  680
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-05-05
  • 修回日期:  2013-06-22
  • 刊出日期:  2013-10-05

/

返回文章
返回