Abstract

A photonic angular momentum state (PAMS) with a topological charge of m±1 is dipole forbidden at all polarizations of free-space incidence due to the existence of a unique helical phase. We show that by indirectly exciting dark PAMSs through coupling with a bright resonant element, a sharply variant transmission behavior and strong dispersion can be achieved. This behavior can subsequently be utilized in slow light. A metamaterial design, in which a group index ng greater than 500 can be achieved, is present.

© 2013 Optical Society of America

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References

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  1. V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
    [CrossRef]
  2. N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
    [CrossRef]
  3. S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
    [CrossRef]
  4. P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
    [CrossRef]
  5. M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
    [CrossRef]
  6. J. B. Khurgin and R. S. Tucker, Slow Light—Science and Applications (CRC, 2009).
  7. L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).
  8. F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
    [CrossRef]
  9. F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
    [CrossRef]
  10. M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
    [CrossRef]
  11. P. Banzer, J. Kindler, S. Quabis, U. Peschel, and G. Leuchs, Opt. Express 18, 10896 (2010).
    [CrossRef]
  12. Z. Ruan and M. Qiu, Phys. Rev. Lett. 96, 233901 (2006).
    [CrossRef]
  13. B. Tang, L. Dai, and C. Jiang, J. Opt. Soc. Am. B 27, 2433 (2010).
    [CrossRef]

2010 (3)

2009 (1)

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

2008 (2)

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

2007 (1)

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

2006 (1)

Z. Ruan and M. Qiu, Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef]

2005 (1)

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

2004 (1)

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

2002 (1)

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Allen, L.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Bai, Q.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Baida, F. I.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Banzer, P.

Barnett, S. M.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Belkhir, A.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

Chen, J.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Dai, L.

Economou, E. N.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Fedotov, V. A.

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Granet, G.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

Hibbins, A. P.

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

Jiang, C.

Kang, M.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Khurgin, J. B.

J. B. Khurgin and R. S. Tucker, Slow Light—Science and Applications (CRC, 2009).

Kindler, J.

Koschny, T.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Lawrence, C. R.

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

Leuchs, G.

Li, Y. N.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Lockyear, M. J.

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

Moreau, A.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

Padgett, M. J.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Papasimakis, N.

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Peschel, U.

Prosvirnin, S. L.

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Qiu, M.

Z. Ruan and M. Qiu, Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef]

Quabis, S.

Rose, M.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Ruan, Z.

Z. Ruan and M. Qiu, Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef]

Sambles, J. R.

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

Soukoulis, C. M.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Tang, B.

Tassin, P.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Tucker, R. S.

J. B. Khurgin and R. S. Tucker, Slow Light—Science and Applications (CRC, 2009).

Van Labeke, D.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Wang, H. T.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Wang, Y.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Wu, P. H.

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

Zhang, L.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Zhang, S.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Zhang, X.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Zheludev, N. I.

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Appl. Phys. B (2)

M. Kang, Y. N. Li, J. Chen, J. Chen, Q. Bai, H. T. Wang, and P. H. Wu, Appl. Phys. B 100, 699 (2010).
[CrossRef]

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, Appl. Phys. B 79, 1 (2004).
[CrossRef]

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

Opt. Commun. (1)

F. I. Baida and D. Van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Opt. Express (1)

Phys. Rev. Lett. (6)

Z. Ruan and M. Qiu, Phys. Rev. Lett. 96, 233901 (2006).
[CrossRef]

M. J. Lockyear, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Phys. Rev. Lett. 94, 193902 (2005).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

Other (2)

J. B. Khurgin and R. S. Tucker, Slow Light—Science and Applications (CRC, 2009).

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

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Figures (3)

Fig. 1.
Fig. 1.

Transmission spectra of the hybrid metamaterial and its constituent elements. Inset shows the structure of the hybrid metamaterial.

Fig. 2.
Fig. 2.

Distributions of electric field intensity I at the frequencies of (a) transmission dip I, (b) transmission peak II, and (c) transmission dip III. The intensity is normalized by that of the incidence.

Fig. 3.
Fig. 3.

Variations of (a) the transmission phase and (b) the group index ng with frequency. Solid (dashed) curves are those of the hybrid metamaterial (rectangular element only).

Equations (1)

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m±1

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