Abstract

We present and analyze the unique phenomena of enhanced THz transmission through a subwavelength LiF dielectric rod lattice embedded in an epsilon-near-zero KCl host. Our experimental results in combination with theoretical calculations show that subwavelength waveguiding of terahertz radiation is achieved within an alkali–halide eutectic metamaterial as result of the coupling of Mie-resonance modes arising in the dielectric lattice.

© 2013 Optical Society of America

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  1. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef]
  2. C. M. Soukoulis and M. Wegener, Nat. Photonics 5, 523 (2011).
  3. P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).
  4. R. W. Ziolkowski, Phys. Rev. E 70, 046608 (2004).
    [CrossRef]
  5. Y. Xu and H. Chen, Appl. Phys. Lett. 98, 113501 (2011).
    [CrossRef]
  6. S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
    [CrossRef]
  7. M. Silveirinha and N. Engheta, Phys. Rev. Lett. 97, 157403 (2006).
    [CrossRef]
  8. A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).
  9. V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
    [CrossRef]
  10. H.-R. Park, Y.-M. Bahk, J. H. Choe, S. Han, S. S. Choi, K. J. Ahn, N. Park, Q. H. Park, and D.-S. Kim, Opt. Express 19, 24775 (2011).
    [CrossRef]
  11. H. Pahlevaninezhad, B. Heshmat, and T. E. Darcie, Opt. Express 19, B47 (2011).
    [CrossRef]
  12. E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).
  13. J. Llorca and V. M. Orera, Prog. Mater. Sci. 51, 711 (2006).
    [CrossRef]
  14. D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
    [CrossRef]
  15. S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).
  16. A. Reyes-Coronado, M. F. Acosta, R. I. Merino, V. M. Orera, G. Kenanakis, N. Katsarakis, M. Kafesaki, C. Mavidis, J. G. de Abajo, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 14663 (2012).
    [CrossRef]
  17. A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 12752 (2012).
    [CrossRef]
  18. A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.
  19. L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
    [CrossRef]
  20. V. M. Orera and Á. Larrea, Opt. Mater. 27, 1726 (2005).
  21. M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
    [CrossRef]

2012

2011

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

H. Pahlevaninezhad, B. Heshmat, and T. E. Darcie, Opt. Express 19, B47 (2011).
[CrossRef]

H.-R. Park, Y.-M. Bahk, J. H. Choe, S. Han, S. S. Choi, K. J. Ahn, N. Park, Q. H. Park, and D.-S. Kim, Opt. Express 19, 24775 (2011).
[CrossRef]

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

C. M. Soukoulis and M. Wegener, Nat. Photonics 5, 523 (2011).

Y. Xu and H. Chen, Appl. Phys. Lett. 98, 113501 (2011).
[CrossRef]

2010

V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
[CrossRef]

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

2007

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

2006

M. Silveirinha and N. Engheta, Phys. Rev. Lett. 97, 157403 (2006).
[CrossRef]

J. Llorca and V. M. Orera, Prog. Mater. Sci. 51, 711 (2006).
[CrossRef]

2005

V. M. Orera and Á. Larrea, Opt. Mater. 27, 1726 (2005).

2004

R. W. Ziolkowski, Phys. Rev. E 70, 046608 (2004).
[CrossRef]

2002

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

2000

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Acosta, M. F.

Ahn, K. J.

Alù, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

Bahk, Y.-M.

Basharin, A. A.

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 12752 (2012).
[CrossRef]

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.

Chen, H.

Y. Xu and H. Chen, Appl. Phys. Lett. 98, 113501 (2011).
[CrossRef]

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Chen, L.

V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
[CrossRef]

Choe, J. H.

Choi, S. S.

Darcie, T. E.

de Abajo, J. G.

Diduszko, R.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Economou, E. N.

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 12752 (2012).
[CrossRef]

A. Reyes-Coronado, M. F. Acosta, R. I. Merino, V. M. Orera, G. Kenanakis, N. Katsarakis, M. Kafesaki, C. Mavidis, J. G. de Abajo, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 14663 (2012).
[CrossRef]

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.

Engheta, N.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

M. Silveirinha and N. Engheta, Phys. Rev. Lett. 97, 157403 (2006).
[CrossRef]

Enoch, S.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

Foteinopoulou, S.

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

Gajc, M.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Grzegorczyk, T. M.

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Guerin, N.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

Halterman, K.

V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
[CrossRef]

Han, S.

Heshmat, B.

Kafesaki, M.

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 12752 (2012).
[CrossRef]

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).

A. Reyes-Coronado, M. F. Acosta, R. I. Merino, V. M. Orera, G. Kenanakis, N. Katsarakis, M. Kafesaki, C. Mavidis, J. G. de Abajo, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 14663 (2012).
[CrossRef]

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.

Katsarakis, N.

Kenanakis, G.

Kim, D.-S.

Kolodziejak, K.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Kong, J. A.

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Koschny, T.

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).

Larrea, Á.

V. M. Orera and Á. Larrea, Opt. Mater. 27, 1726 (2005).

Llorca, J.

J. Llorca and V. M. Orera, Prog. Mater. Sci. 51, 711 (2006).
[CrossRef]

Manceau, J. M.

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

Massaouti, M.

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

Mavidis, C.

Merino, R. I.

Nguyen, V. C.

V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
[CrossRef]

Orera, V. M.

Pahlevaninezhad, H.

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

Park, H.-R.

Park, N.

Park, Q. H.

Pawlak, D. A.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Pendry, J. B.

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Peng, L.

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Ran, L.

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Reyes-Coronado, A.

Rozniatowski, K.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Sabouroux, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

Salandrino, A.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

Selimis, A.

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

Silveirinha, M.

M. Silveirinha and N. Engheta, Phys. Rev. Lett. 97, 157403 (2006).
[CrossRef]

Silveirinha, M. G.

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

Smalc, J.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Soukoulis, C. M.

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 12752 (2012).
[CrossRef]

A. Reyes-Coronado, M. F. Acosta, R. I. Merino, V. M. Orera, G. Kenanakis, N. Katsarakis, M. Kafesaki, C. Mavidis, J. G. de Abajo, E. N. Economou, and C. M. Soukoulis, Opt. Express 20, 14663 (2012).
[CrossRef]

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

C. M. Soukoulis and M. Wegener, Nat. Photonics 5, 523 (2011).

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.

Tassin, P.

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).

Tayeb, G.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

Turczynski, S.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Tzortzakis, S.

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

Vendik, I.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Vincent, P.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

Wegener, M.

C. M. Soukoulis and M. Wegener, Nat. Photonics 5, 523 (2011).

Xu, Y.

Y. Xu and H. Chen, Appl. Phys. Lett. 98, 113501 (2011).
[CrossRef]

Zhang, H.

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Ziolkowski, R. W.

R. W. Ziolkowski, Phys. Rev. E 70, 046608 (2004).
[CrossRef]

Adv. Funct. Mater.

D. A. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, and I. Vendik, Adv. Funct. Mater. 20, 1116 (2010).
[CrossRef]

Appl. Phys. Lett.

Y. Xu and H. Chen, Appl. Phys. Lett. 98, 113501 (2011).
[CrossRef]

J. Mol. Struct.

M. Massaouti, J. M. Manceau, A. Selimis, and S. Tzortzakis, J. Mol. Struct. 1006, 28 (2011).
[CrossRef]

Nat. Photonics

C. M. Soukoulis and M. Wegener, Nat. Photonics 5, 523 (2011).

P. Tassin, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Nat. Photonics 6, 259 (2012).

Opt. Express

Opt. Mater.

V. M. Orera and Á. Larrea, Opt. Mater. 27, 1726 (2005).

Phys. Rev. B

S. Foteinopoulou, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B 84, 035128 (2011).

A. Alù, M. G. Silveirinha, A. Salandrino, and N. Engheta, Phys. Rev. B 75, 155410 (2007).

Phys. Rev. E

R. W. Ziolkowski, Phys. Rev. E 70, 046608 (2004).
[CrossRef]

Phys. Rev. Lett.

S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, Phys. Rev. Lett. 89, 213902 (2002).
[CrossRef]

M. Silveirinha and N. Engheta, Phys. Rev. Lett. 97, 157403 (2006).
[CrossRef]

V. C. Nguyen, L. Chen, and K. Halterman, Phys. Rev. Lett. 105, 233908 (2010).
[CrossRef]

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

L. Peng, L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. Lett. 98, 157403 (2007).
[CrossRef]

Prog. Mater. Sci.

J. Llorca and V. M. Orera, Prog. Mater. Sci. 51, 711 (2006).
[CrossRef]

Other

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1985).

A. A. Basharin, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Epsilon near-zero based phenomena in metamaterials,” submitted to Phys. Rev. B.

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Figures (3)

Fig. 1.
Fig. 1.

(a) Scanning electron microscopy (SEM) image of a polished longitudinal cross section of the eutectic LiF/KCl partially corroded by ambient humidity. The brighter long fibers are the long continuous, single crystalline LiF rods forming the lattice embedded in the KCl matrix. (b) SEM image of the transverse cross section of LiF/KCl eutectic sample grown at 2mm/h pulling rate. The dark phase in (b) is LiF. (c) Size of the microstructural features of LiF/KCl eutectic samples. In (a) and (b), the scale bars are 100 μm long.

Fig. 2.
Fig. 2.

(a) THz transmission spectra, through a 60 μm thick, LiF/KCl system, as recorded for a polarization of the THz electric field parallel (circles) and perpendicular (triangles) to the LiF rods lattice, (b) THz transmission through the sample as simulated using the CST Microwave studio.

Fig. 3.
Fig. 3.

The electric field amplitude distribution of a plane wave, of 6 THz frequency, propagating (left) in a pure KCl medium, (middle) in pure LiF, and (right) in a the KCl/LiF eutectic. The E/M radiation passes through a 50 μm slit (top row) and 15 μm slit (bottom row). The rod diameter and lattice period of the microstructured sample are 4.47 and 15.77 μm, respectively.

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