Abstract

We propose a novel optical transformation to design an arbitrary N-sided regular polygonal rotator, which demonstrates that the inhomogeneity of a rotator can be completely removed, and only anisotropy is needed to rotate wavefronts without any perturbance. An N-sided regular polygonal rotator will give rise to a rotation angle of 360°/N, thereby leading to a series of discrete rotation angles with different choices of N. Practical realization of such homogeneous rotators is suggested by using only four kinds of nonmagnetic isotropic dielectrics throughout. The dielectrics can be easily arranged in a planarly stratified configuration due to all the flat boundaries, which makes the rotator much easier in fabrication and application. Full-wave simulation validates the proposed scheme applicable to both passive object and active source with excellent performance.

© 2014 Optical Society of America

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    [Crossref]
  2. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
    [Crossref]
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    [Crossref]
  4. R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
    [Crossref]
  5. H. F. Ma and T. J. Cui, Nat. Commun. 1, 21 (2010).
  6. J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
    [Crossref]
  7. T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
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  8. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
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  9. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
    [Crossref]
  10. H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).
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    [Crossref]
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    [Crossref]
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    [Crossref]
  17. Z. L. Mei and T. J. Cui, J. Appl. Phys. 105, 104913 (2009).
    [Crossref]
  18. T. Han, C.-W. Qiu, and X. Tang, Opt. Lett. 36, 181 (2011).
    [Crossref]
  19. Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
    [Crossref]
  20. W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
    [Crossref]
  21. H. Chen and C. T. Chan, Appl. Phys. Lett. 90, 241105 (2007).
    [Crossref]
  22. H. Chen and C. T. Chan, Phys. Rev. B 78, 054204 (2008).
    [Crossref]
  23. H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
    [Crossref]
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2013 (3)

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

2011 (3)

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
[Crossref]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

T. Han, C.-W. Qiu, and X. Tang, Opt. Lett. 36, 181 (2011).
[Crossref]

2010 (2)

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

H. F. Ma and T. J. Cui, Nat. Commun. 1, 21 (2010).

2009 (5)

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Z. L. Mei and T. J. Cui, J. Appl. Phys. 105, 104913 (2009).
[Crossref]

2008 (6)

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

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

W. Wang, L. Lin, J. Ma, C. Wang, J. Cui, C. Du, and X. Luo, Opt. Express 16, 11431 (2008).
[Crossref]

H. Chen and C. T. Chan, Phys. Rev. B 78, 054204 (2008).
[Crossref]

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

M. Tsang and D. Psaltis, Phys. Rev. B 77, 035122 (2008).
[Crossref]

2007 (1)

H. Chen and C. T. Chan, Appl. Phys. Lett. 90, 241105 (2007).
[Crossref]

2006 (4)

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

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

Z. Jacob, L. V. Alekseyev, and E. Narimanov, Opt. Express 14, 8247 (2006).
[Crossref]

Alekseyev, L. V.

Ao, X.

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Barbastathis, G.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
[Crossref]

Bartal, G.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Brenner, P.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

Chan, C. T.

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

H. Chen and C. T. Chan, Phys. Rev. B 78, 054204 (2008).
[Crossref]

H. Chen and C. T. Chan, Appl. Phys. Lett. 90, 241105 (2007).
[Crossref]

Chen, H.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

H. Chen and C. T. Chan, Phys. Rev. B 78, 054204 (2008).
[Crossref]

H. Chen and C. T. Chan, Appl. Phys. Lett. 90, 241105 (2007).
[Crossref]

Chen, S.

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Chen, X.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

Cheng, Q.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

Chin, J. Y.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

Cui, J.

Cui, T. J.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

H. F. Ma and T. J. Cui, Nat. Commun. 1, 21 (2010).

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

Z. L. Mei and T. J. Cui, J. Appl. Phys. 105, 104913 (2009).
[Crossref]

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

Cummer, S. A.

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostr. 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]

Du, C.

Ergin, T.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

Han, D.

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

Han, T.

Han, T. C.

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

Hand, T.

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

Hou, B.

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Jacob, Z.

Ji, C.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

Jiang, K.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

Jiang, W. X.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[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]

Lai, Y.

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

Leonhardt, U.

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

Li, J.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Lin, L.

Liu, R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (2008).
[Crossref]

Liu, X.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
[Crossref]

Luo, X.

Luo, Y.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
[Crossref]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

Ma, H. F.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

H. F. Ma and T. J. Cui, Nat. Commun. 1, 21 (2010).

Ma, J.

Mei, Z. L.

Z. L. Mei and T. J. Cui, J. Appl. Phys. 105, 104913 (2009).
[Crossref]

Mock, J. J.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (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]

Narimanov, E.

Pendry, J. B.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostr. 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]

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]

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

Psaltis, D.

M. Tsang and D. Psaltis, Phys. Rev. B 77, 035122 (2008).
[Crossref]

Qiu, C.-W.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

T. Han, C.-W. Qiu, and X. Tang, Opt. Lett. 36, 181 (2011).
[Crossref]

Rahm, M.

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

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

Smith, D. R.

R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science 323, 366 (2009).
[Crossref]

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostr. 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]

R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, Phys. Rev. Lett. 100, 023903 (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]

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

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]

Stenger, N.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

Tang, X.

Tsang, M.

M. Tsang and D. Psaltis, Phys. Rev. B 77, 035122 (2008).
[Crossref]

Valentine, J.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Wang, C.

Wang, H.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

Wang, W.

Wegener, M.

T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science 328, 337 (2010).
[Crossref]

Wen, W.

H. Chen, B. Hou, S. Chen, X. Ao, W. Wen, and C. T. Chan, Phys. Rev. Lett. 102, 183903 (2009).
[Crossref]

Xiao, J.

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

Zentgraf, T.

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Zhang, B.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. 106, 033901 (2011).
[Crossref]

Zhang, J.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

Zhang, S.

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

Zhang, X.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Zhang, Z.

Y. Lai, H. Chen, D. Han, J. Xiao, Z. Zhang, and C. T. Chan, Phys. Rev. Lett. 102, 253902 (2009).
[Crossref]

Zheludev, N. I.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

Zheng, B.

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

Adv. Funct. Mater. (1)

W. X. Jiang, C.-W. Qiu, T. C. Han, S. Zhang, and T. J. Cui, Adv. Funct. Mater. 23, 4028 (2013).
[Crossref]

Adv. Mater. (1)

W. X. Jiang, C.-W. Qiu, T. C. Han, Q. Cheng, H. F. Ma, S. Zhang, and T. J. Cui, Adv. Mater. 25, 6963 (2013).
[Crossref]

Appl. Phys. Lett. (2)

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

H. Chen and C. T. Chan, Appl. Phys. Lett. 90, 241105 (2007).
[Crossref]

J. Appl. Phys. (1)

Z. L. Mei and T. J. Cui, J. Appl. Phys. 105, 104913 (2009).
[Crossref]

Nat. Commun. (3)

H. F. Ma and T. J. Cui, Nat. Commun. 1, 21 (2010).

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nat. Commun. 2, 176 (2011).
[Crossref]

H. Chen, B. Zheng, H. Wang, X. Zhang, N. I. Zheludev, and B. Zhang, Nat. Commun. 4, 2652 (2013).

Nat. Mater. (1)

J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nat. Mater. 8, 568 (2009).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Photon. Nanostr. Fundam. Appl. (1)

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostr. Fundam. Appl. 6, 87 (2008).
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Figures (4)

Fig. 1.
Fig. 1.

Schematic of coordinate transformation in the design of a homogeneous polygonal rotator. (a) Real space. (b) Virtual space.

Fig. 2.
Fig. 2.

Magnetic-field distributions for homogeneous/anisotropic rotators with different N. (a) Triangular rotator. (b) Square rotator. (c) Hexagonal rotator.

Fig. 3.
Fig. 3.

Control of the radiation pattern of a point-sources array by using homogeneous/anisotropic rotators. Magnetic-field distributions of a point-sources array (a) in free space, (b) surrounded by a triangular rotator, (c) surrounded by a square rotator, and (d) surrounded by a hexagonal rotator.

Fig. 4.
Fig. 4.

Realization of a homogeneous/isotropic rotator. (a) A square rotator composed of four isotropic dielectrics—Outer-A, Outer-B, Inner-A, and Inner-B—with a refractive index of 3.4, 0.3, 6, and 0.17, respectively. α and β are 22.5° and 32°, respectively. (b) Magnetic-field distribution for the square rotator composed of layered isotropic dielectrics. (c) Magnetic field and (d) scattered magnetic field along black straight line and circle line in (b), respectively, when medium Outer-B and Inner-B have the loss tangent of 0.001, 0.01, and 0.1. Parameters of the four isotropic dielectrics (e) as a function of N with m=0.5, and (f) as a function of m with N=4. The insets show α and β versus N or m.

Equations (8)

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xbi=mxai=mRcos[(i1)2π/N],
ybi=myai=mRsin[(i1)2π/N],
x=A1x+A2y+A3,y=B1x+B2y+B3,z=z,
(A1A2A3B1B2B3)=Q11(xaixai+1xbi+1yaiyai+1ybi+1),Q1=(xaiyai1xai+1yai+11xbiybi1).
εOuter=ε0(A12+A22A1B1+A2B2A1B1+A2B2B12+B22),μOuter=μ0.
x=C1x+C2y+D3,y=D1x+D2y+D3,z=z,
(C1C2C3D1D2D3)=Q21(xaixbi+1xbiyaiybi+1ybi),Q2=(xaiyai1xbiybi1xbi1ybi11).
εInner=ε0(C12+C22C1D1+C2D2C1D1+C2D2D12+D22),μInner=μ0.

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