Abstract

Singularity, representing a structurally stable topological defect (TD), plays a pivotal role in various physical systems. Here we theoretically present the fingerprints of TDs and uncover the resulting exotic optical properties in a tailored metasurface system. The presence of the TDs results in coherent perfect absorption, and dramatic optical property transition from slow to superluminal light behavior when the parameters cross the TD. Our investigation provides a new route to explore many phenomena of the TDs, extends the capabilities of metasurface, and offers benefits to develop potential nanophotonic applications based on the design of the metasurface.

© 2014 Optical Society of America

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2013 (4)

A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, Science 339, 1232009 (2013).
[CrossRef]

X. Yin, Z. Ye, J. Rho, Y. Wang, and X. Zhang, Science 339, 1405 (2013).
[CrossRef]

M. Kang, F. Liu, and J. Li, Phys. Rev. A 87, 053824 (2013).
[CrossRef]

M. Kang, F. Liu, T. Li, Q. Guo, J. Li, and J. Chen, Opt. Lett. 38, 3086 (2013).
[CrossRef]

2012 (9)

M. Pu, Q. Feng, M. Wang, C. Hu, C. Huang, X. Ma, Z. Zhao, C. Wang, and X. Luo, Opt. Express 20, 2246 (2012).
[CrossRef]

M. Kang, T. Feng, H. T. Wang, and J. Li, Opt. Express 20, 15882 (2012).
[CrossRef]

S. Dutta-Gupta, R. Deshmukh, A. V. Gopal, O. J. F. Martin, and S. Dutta Gupta, Opt. Lett. 37, 4452 (2012).
[CrossRef]

H. Noh, Y. Chong, A. D. Stone, and H. Cao, Phys. Rev. Lett. 108, 186805 (2012).
[CrossRef]

S. Feng and K. Halterman, Phys. Rev. B 86, 165103 (2012).

J. W. Yoon, G. M. Koh, S. H. Song, and R. Magnusson, Phys. Rev. Lett. 109, 257402 (2012).
[CrossRef]

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

X. Ni, N. Emani, A. Kildishev, A. Boltasseva, and V. Shalaev, Science 335, 427 (2012).
[CrossRef]

G. P. Alexander, B. G. Chen, E. A. Matsumoto, and R. D. Kamien, Rev. Mod. Phys. 84, 497 (2012).
[CrossRef]

2011 (6)

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

A. Pors, M. G. Nielsen, G. D. Valle, M. Willatzen, O. Albrektsen, and S. Bozhevolnyi, Opt. Lett. 36, 1626 (2011).
[CrossRef]

Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902 (2011).
[CrossRef]

2010 (2)

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

2008 (3)

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, Phys. Rev. Lett. 100, 183902 (2008).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef]

2005 (3)

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, Opt. Lett. 30, 3356 (2005).
[CrossRef]

2004 (1)

D. R. Solli, C. F. McCormick, R. Y. Chiao, S. Popescu, and J. M. Hickmann, Phys. Rev. Lett. 92, 043601 (2004).
[CrossRef]

2002 (1)

M. R. Dennis, Opt. Commun. 213, 201 (2002).
[CrossRef]

2000 (1)

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 85, 294 (2000).
[CrossRef]

1999 (1)

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999).
[CrossRef]

1995 (1)

M. B. Hindmarsh and T. W. B. Kibble, Rep. Prog. Phys. 58, 477 (1995).
[CrossRef]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

1979 (1)

N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
[CrossRef]

1974 (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Adam, A. J. L.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Aieta, F.

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

Albrektsen, O.

Alexander, G. P.

G. P. Alexander, B. G. Chen, E. A. Matsumoto, and R. D. Kamien, Rev. Mod. Phys. 84, 497 (2012).
[CrossRef]

Allen, L.

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Babiker, M.

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999).
[CrossRef]

Bai, B.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Balistreri, M. L. M.

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 85, 294 (2000).
[CrossRef]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Bliokh, K. Y.

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Boltasseva, A.

A. V. Kildishev, A. Boltasseva, and V. M. Shalaev, Science 339, 1232009 (2013).
[CrossRef]

X. Ni, N. Emani, A. Kildishev, A. Boltasseva, and V. Shalaev, Science 335, 427 (2012).
[CrossRef]

Borisov, A. G.

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, Phys. Rev. Lett. 100, 183902 (2008).
[CrossRef]

Bowman, R.

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Bozhevolnyi, S.

Brok, J. M.

L. T. Vuong, A. J. L. Adam, J. M. Brok, P. C. M. Planken, and H. P. Urbach, Phys. Rev. Lett. 104, 083903 (2010).
[CrossRef]

Cai, W.

Cao, H.

H. Noh, Y. Chong, A. D. Stone, and H. Cao, Phys. Rev. Lett. 108, 186805 (2012).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Capasso, F.

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

Chen, B. G.

G. P. Alexander, B. G. Chen, E. A. Matsumoto, and R. D. Kamien, Rev. Mod. Phys. 84, 497 (2012).
[CrossRef]

Chen, J.

M. Kang, F. Liu, T. Li, Q. Guo, J. Li, and J. Chen, Opt. Lett. 38, 3086 (2013).
[CrossRef]

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

Chen, X.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Chettiar, U. K.

Chiao, R. Y.

D. R. Solli, C. F. McCormick, R. Y. Chiao, S. Popescu, and J. M. Hickmann, Phys. Rev. Lett. 92, 043601 (2004).
[CrossRef]

Chong, Y.

H. Noh, Y. Chong, A. D. Stone, and H. Cao, Phys. Rev. Lett. 108, 186805 (2012).
[CrossRef]

Chong, Y. D.

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902 (2011).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Dennis, M. R.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

M. R. Dennis, Opt. Commun. 213, 201 (2002).
[CrossRef]

Deshmukh, R.

Desyatnikov, A. S.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

Drachev, V. P.

Dutta Gupta, S.

Dutta-Gupta, S.

Emani, N.

X. Ni, N. Emani, A. Kildishev, A. Boltasseva, and V. Shalaev, Science 335, 427 (2012).
[CrossRef]

Feng, Q.

Feng, S.

S. Feng and K. Halterman, Phys. Rev. B 86, 165103 (2012).

Feng, T.

Flossmann, F.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Gaburro, Z.

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

Ge, L.

Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902 (2011).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Y. D. Chong, L. Ge, H. Cao, and A. D. Stone, Phys. Rev. Lett. 105, 053901 (2010).
[CrossRef]

Genevet, P.

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

Gopal, A. V.

Gorodetski, Y.

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef]

Gu, B.

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

Guo, Q.

Guo, Q. H.

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

Halterman, K.

S. Feng and K. Halterman, Phys. Rev. B 86, 165103 (2012).

Hasman, E.

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Hickmann, J. M.

D. R. Solli, C. F. McCormick, R. Y. Chiao, S. Popescu, and J. M. Hickmann, Phys. Rev. Lett. 92, 043601 (2004).
[CrossRef]

Hindmarsh, M. B.

M. B. Hindmarsh and T. W. B. Kibble, Rep. Prog. Phys. 58, 477 (1995).
[CrossRef]

Hu, C.

Huang, C.

Huang, L.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Jin, G.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Kamien, R. D.

G. P. Alexander, B. G. Chen, E. A. Matsumoto, and R. D. Kamien, Rev. Mod. Phys. 84, 497 (2012).
[CrossRef]

Kang, M.

M. Kang, F. Liu, T. Li, Q. Guo, J. Li, and J. Chen, Opt. Lett. 38, 3086 (2013).
[CrossRef]

M. Kang, F. Liu, and J. Li, Phys. Rev. A 87, 053824 (2013).
[CrossRef]

M. Kang, T. Feng, H. T. Wang, and J. Li, Opt. Express 20, 15882 (2012).
[CrossRef]

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

Kats, M.

N. Yu, P. Genevet, M. Kats, F. Aieta, J. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).
[CrossRef]

Kibble, T. W. B.

M. B. Hindmarsh and T. W. B. Kibble, Rep. Prog. Phys. 58, 477 (1995).
[CrossRef]

Kildishev, A.

X. Ni, N. Emani, A. Kildishev, A. Boltasseva, and V. Shalaev, Science 335, 427 (2012).
[CrossRef]

Kildishev, A. V.

Kivshar, Y. S.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

Kleiner, V.

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Koh, G. M.

J. W. Yoon, G. M. Koh, S. H. Song, and R. Magnusson, Phys. Rev. Lett. 109, 257402 (2012).
[CrossRef]

Korterik, J. P.

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 85, 294 (2000).
[CrossRef]

Kuipers, L.

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, and N. F. van Hulst, Phys. Rev. Lett. 85, 294 (2000).
[CrossRef]

Li, G. X.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Li, J.

Li, T.

Li, Y. N.

M. Kang, Q. H. Guo, J. Chen, B. Gu, Y. N. Li, and H. T. Wang, Phys. Rev. A 84, 045803 (2011).
[CrossRef]

Liu, F.

Luo, X.

Ma, X.

Magnusson, R.

J. W. Yoon, G. M. Koh, S. H. Song, and R. Magnusson, Phys. Rev. Lett. 109, 257402 (2012).
[CrossRef]

Maier, M.

F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, Phys. Rev. Lett. 95, 253901 (2005).
[CrossRef]

Marinica, D. C.

D. C. Marinica, A. G. Borisov, and S. V. Shabanov, Phys. Rev. Lett. 100, 183902 (2008).
[CrossRef]

Martin, O. J. F.

Matsumoto, E. A.

G. P. Alexander, B. G. Chen, E. A. Matsumoto, and R. D. Kamien, Rev. Mod. Phys. 84, 497 (2012).
[CrossRef]

McCormick, C. F.

D. R. Solli, C. F. McCormick, R. Y. Chiao, S. Popescu, and J. M. Hickmann, Phys. Rev. Lett. 92, 043601 (2004).
[CrossRef]

Mermin, N. D.

N. D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
[CrossRef]

Mühlenbernd, H.

X. Chen, L. Huang, H. Mühlenbernd, G. X. Li, B. Bai, Q. Tan, G. Jin, C. W. Qiu, S. Zhang, and T. Zentgraf, Nat. Commun. 3, 1198 (2012).
[CrossRef]

Nelson, D. R.

D. R. Nelson, Defects and Geometry in Condensed Matter Physics (Cambridge University, 2002).

Ni, X.

X. Ni, N. Emani, A. Kildishev, A. Boltasseva, and V. Shalaev, Science 335, 427 (2012).
[CrossRef]

Nielsen, M. G.

Niv, A.

Y. Gorodetski, A. Niv, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 043903 (2008).
[CrossRef]

Noh, H.

H. Noh, Y. Chong, A. D. Stone, and H. Cao, Phys. Rev. Lett. 108, 186805 (2012).
[CrossRef]

W. Wan, Y. D. Chong, L. Ge, H. Noh, A. D. Stone, and H. Cao, Science 331, 889 (2011).
[CrossRef]

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Padgett, M.

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Figures (4)

Fig. 1.
Fig. 1.

Phases of the eigenvalues in the dipole surface system. The top inset shows the scattering of the dipole surface under normal incidence. The distributions of (a) the phase ξ1 of the first eigenvalue μ1=1 and (b) the phase ξ2 of the second eigenvalue μ2=t+r, in the parameter space composed of f and γs. The phase (solid line) and the corresponding group delay (dashed line) τd at the resonant frequency f0 as a function of γs for (c) the first eigenvalue μ1=1 and (d) the second eigenvalue μ2=t+r. The rectangles with four arrows in (a) and (b) show the closed circuits C around the node point.

Fig. 2.
Fig. 2.

Investigated metasurface. (a) Illustration of the metasurface and its unit cell. (b) Simulated reflection spectra as a function of f and d. (c) Resonant frequency f0 (squares), scattering loss γs (circles), and dissipation loss γd (diamonds) as a function of d, and their fitting functions. (d) Analytical reflection spectra as a function of f and d.

Fig. 3.
Fig. 3.

Analytical and numerical eigenvalues of the scattering matrix S for our investigated metasurface as a function of f and d. (a) and (b) are the analytical and numerical logarithmic output intensities, respectively. (c) and (d) are the analytical and numerical phases in units of π, respectively.

Fig. 4.
Fig. 4.

Dependence of the numerical (squares) and analytical (circles) group delay τd on f for a different d.

Equations (3)

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r=jγsf0fj(γd+γs)andt=1+r,
[b+b]=S[a+a]=[trrt][a+a],
τd=ξ2f=2γs[(ff0)2+γs2γd2][(ff0)2+γd2]2+2[(ff0)2γd2]γs2+γs4.

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