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基于Maxwell方程组在坐标变换下的协变性,利用柱坐标变换以及开口谐振环周期排列而形成的超材料设计了一个工作于10.14 GHz频率下的隐形结构.采用一种新型快速实验方案测量微波信号强度.实验结果表明在外围增加了隐形结构之后,圆柱金属的阴影和散射效应都被削弱,得到了预期的隐形效果.该实验系统降低了系统的结构复杂性并缩短了实验周期,为该领域的研究提供了一种新的简单有效的实验方案.
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关键词:
- 隐形结构 /
- 超材料 /
- 坐标变换 /
- Maxwell方程组
Based on Maxwell’s equations’ form-invariance to coordinate transformations, an electromagnetic cloaking structure at 10.14 GHz was designed by cylindrical coordinate transformation and made with metamaterial composed of split-ring resonators. A quick novel experiment method was used to measure the power level of the received microwave signal. The cloaking structure reduced scattering from the hidden object and meanwhile reduced its shadow effect, which was consistent with theoretical expectations. The experiment system reduced the complexity and shortened the time of measurement, which provided a new simple and effective experimental method in this field.-
Keywords:
- cloaking structure /
- metamaterial /
- coordinate transformations /
- Maxwell’s equations
[1] Jackson J D 1999 Classical Electrodynamics (New York: Wiley) p553
[2] Leonhardt U 2006 Science 312 1777
[3] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[4] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[5] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microw. Theory Techn. 47 2075
[6] Smith D R, Pendry J B, Wiltshire M C K 2004 Science 305 788
[7] 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]
[8] 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 〖9] Yang Y M, Qu S B, Wang J F, Xu Z 2009 Acta Phys. Sin. 58 1031 (in Chinese) [杨一鸣、屈绍波、王甲富、徐 卓 2009 物 理学报 58 1031] 〖10] Wang J F, Qu S B, Xu Z, Zhang J Q, Ma H, Yang Y M, Gu C 2009 Acta Phys. Sin. 58 3224 (in Chinese) [王甲富、屈绍波、徐 卓、张介秋、马 华、杨一鸣、顾 超 2009 58 3224]
[9] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[10] Leonhardt U, Tyc T 2009 Science 323 110
[11] Nicolet A, Zolla F 2009 Science 323 46
[12] Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J B 2006 Phys. Rev. E 74 036621
[13] Ma H, Qu S B, Xu Z, Wang J F 2008 Phys. Rev. E 78 036608
[14] Rahm M, Schurig D, Roberts D A, Cummer S A, Smith D R, Pendry J B 2008 Photon. Nanostruct.: Fundam. Appl. 6 87
[15] Justice B J, Mock J J, Guo L, Degiron A, Schurig D, Smith D R 2006 Opt. Express 14 8694
[16] Schurig D, Pendry J B, Smith D R 2006 Opt. Express 14 97
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[1] Jackson J D 1999 Classical Electrodynamics (New York: Wiley) p553
[2] Leonhardt U 2006 Science 312 1777
[3] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[4] Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[5] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microw. Theory Techn. 47 2075
[6] Smith D R, Pendry J B, Wiltshire M C K 2004 Science 305 788
[7] 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]
[8] 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 〖9] Yang Y M, Qu S B, Wang J F, Xu Z 2009 Acta Phys. Sin. 58 1031 (in Chinese) [杨一鸣、屈绍波、王甲富、徐 卓 2009 物 理学报 58 1031] 〖10] Wang J F, Qu S B, Xu Z, Zhang J Q, Ma H, Yang Y M, Gu C 2009 Acta Phys. Sin. 58 3224 (in Chinese) [王甲富、屈绍波、徐 卓、张介秋、马 华、杨一鸣、顾 超 2009 58 3224]
[9] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[10] Leonhardt U, Tyc T 2009 Science 323 110
[11] Nicolet A, Zolla F 2009 Science 323 46
[12] Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J B 2006 Phys. Rev. E 74 036621
[13] Ma H, Qu S B, Xu Z, Wang J F 2008 Phys. Rev. E 78 036608
[14] Rahm M, Schurig D, Roberts D A, Cummer S A, Smith D R, Pendry J B 2008 Photon. Nanostruct.: Fundam. Appl. 6 87
[15] Justice B J, Mock J J, Guo L, Degiron A, Schurig D, Smith D R 2006 Opt. Express 14 8694
[16] Schurig D, Pendry J B, Smith D R 2006 Opt. Express 14 97
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