Abstract

We report the design of microwave waveguide devices based on complementary media. Various kinds of waveguide devices that possess nearly 100% transmission efficiency are proposed, such as waveguide bends, splitters, connectors, and shifters. Compared with previous work on waveguide devices of low reflection and minimized distortion based on transformation optics, our transform media are homogeneous metamaterials. Electromagnetic simulations by a finite-element method on detailed examples have been performed to validate the designs and these functionalities can be close to the practical.

© 2011 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  5. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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2011 (2)

2010 (4)

2009 (2)

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

W. Yan, M. Yan, and M. Qiu, Phys. Rev. B 79, 161101(R)(2009).
[CrossRef]

2008 (3)

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

T. Yang, H. Y. Chen, X. D. Luo, and H. R. Ma, Opt. Express 16, 18545 (2008).
[CrossRef] [PubMed]

2007 (1)

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

2006 (4)

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

Burokur, S. N.

Chan, C. T.

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Chen, H. S.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Chen, H. Y.

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

T. Yang, H. Y. Chen, X. D. Luo, and H. R. Ma, Opt. Express 16, 18545 (2008).
[CrossRef] [PubMed]

Chen, L. X.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

Chu, J. H.

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Cummer, S. A.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Ding, W. Q.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

Dong, J. W.

Han, T. C.

Hou, Y.

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Huang, Z. M.

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Huangfu, J. T.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Justice, B. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Kong, F. M.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Kong, J. A.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Lai, Y.

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Leonhardt, U.

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

Li, L. W.

Liu, Y.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

Luo, X. D.

Lustrac, A.

Ma, H. R.

Ma, Y. G.

Meng, F. Y.

Mock, J. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Ong, C. K.

Pendry, J. B.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Qiu, C. W.

Qiu, M.

W. Yan, M. Yan, and M. Qiu, Phys. Rev. B 79, 161101(R)(2009).
[CrossRef]

Rahm, M.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

Roberts, D. A.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

Schurig, D.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Smith, D. R.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

Sun, X. D.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

Tang, D. H.

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

Tang, X. H.

Tichit, P. H.

Wang, N.

Wu, B. I.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Wu, Q.

Xi, S.

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

Xue, J. Q.

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Yan, M.

W. Yan, M. Yan, and M. Qiu, Phys. Rev. B 79, 161101(R)(2009).
[CrossRef]

Yan, W.

W. Yan, M. Yan, and M. Qiu, Phys. Rev. B 79, 161101(R)(2009).
[CrossRef]

Yang, T.

Zhang, D. H.

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Zhang, K.

Zhang, Z. Q.

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Zouhdi, S.

Appl. Phys. Lett. (3)

F. M. Kong, B. I. Wu, J. A. Kong, J. T. Huangfu, S. Xi, and H. S. Chen, Appl. Phys. Lett. 91, 253509 (2007).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

W. Q. Ding, D. H. Tang, Y. Liu, L. X. Chen, and X. D. Sun, Appl. Phys. Lett. 96, 041102 (2010).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Express (4)

Opt. Lett. (1)

Photon. Nanostruct. Fundam. Appl. (1)

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct. Fundam. Appl. 6, 87 (2008).
[CrossRef]

Phys. Rev. B (2)

W. Yan, M. Yan, and M. Qiu, Phys. Rev. B 79, 161101(R)(2009).
[CrossRef]

Z. M. Huang, J. Q. Xue, Y. Hou, J. H. Chu, and D. H. Zhang, Phys. Rev. B 74, 193105 (2006).
[CrossRef]

Phys. Rev. Lett. (1)

Y. Lai, H. Y. Chen, Z. Q. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 093901 (2009).
[CrossRef] [PubMed]

Science (3)

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977(2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

U. Leonhardt, Science 312, 1777 (2006).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic illustration of the design of the uniform waveguide bends with the complementary media. Snapshots of the total electric fields with BC being (b) 8, (c) 4, (d) 12, and (e)  8 2 cm with α = 45 ° , and (f)  12 cm with α = 60 ° .

Fig. 2
Fig. 2

(a) Schematic of the two uniform arm waveguide splitters with the complementary media. Snapshots of the total electric fields with α of (b)  90 ° , (c)  45 ° , (d)  60 ° , and (e)  120 ° .

Fig. 3
Fig. 3

(a) Schematic illustration of the designed waveguide shifters or connectors with the complementary media. Snapshots of the total electric fields: (b) and (c) for waveguide shifters and (d) and (e) for waveguide connectors with different geometries.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

x 2 = a 11 x 1 + b 11 y 1 + c 11 , y 2 = a 12 x 1 + b 12 y 1 + c 12 , z 2 = z 1 .
ε 2 = Λ 1 ε 1 Λ 1 T det ( Λ 1 ) , μ 2 = Λ 1 μ 1 Λ 1 T det ( Λ 1 ) ,
ε 2 = 05 , μ 2 = [ 1 1 1 2 ]
ε 2 = 1.5 , μ 2 = [ 5 3 1 3 1 3 2 3 ]
ε 2 = 0.5 , μ 2 = [ 2.5 0.5 0.5 0.5 ] , ε 3 = 0.5 , μ 3 = [ 2.5 0.5 0.5 0.5 ] , ε 4 = μ 4 = 1.
ε 2 = 1 3 , μ 2 = [ 5 3 4 3 4 3 5 3 ] , ε 3 = 0.2 , μ 3 = [ 1 1 1 2 ] , ε 4 = 1 2 , μ 4 = [ 0.5 0 0 2 ] .
ε 2 = 1 , μ 2 = [ 5 2 2 1 ] , ε 3 = 0.5 , μ 3 = [ 2.5 0.75 0.75 0.625 ] , ε 4 = 1 2 , μ 4 = [ 0.5 0.25 0.25 2.125 ] .

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