Abstract

We present a new type of waveguide scheme for terahertz circuitry based on the concept of spoof surface plasmons. This structure is composed of a one-dimensional array of L-shaped metallic elements horizontally attached to a metal surface. The dispersion relation of the surface electromagnetic modes supported by this system presents a very weak dependence with the lateral dimension and the modes are very deep-subwavelength confined with a long-enough propagation length.

© 2011 Optical Society of America

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2011 (1)

E. M. G. Brock, E. Hendry, and A. P. Hibbins, Appl. Phys. Lett. 99, 051108 (2011).
[CrossRef]

2010 (6)

2009 (4)

M. Lockyear, A. Hibbins, and J. Sambles, Phys. Rev. Lett. 102, 73901(2009).
[CrossRef]

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

E. Rajo-Iglesias, O. Quevedo-Teruel, and L. Inclan-Sanchez, IEEE Trans Antennas Propag. 57, 3852 (2009).
[CrossRef]

A. I. Fernandez-Dominguez, E. Moreno, L. Martin-Moreno, and F. J. Garcia-Vidal, Opt. Lett. 34, 2063 (2009).
[CrossRef] [PubMed]

2008 (2)

W. Huang, Y. Zhang, and B. Li, Opt. Express 16, 1600 (2008).
[CrossRef] [PubMed]

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

2007 (1)

M. Tonouchi, Nat. Photon. 1, 97 (2007).
[CrossRef]

2006 (2)

T.-I. Jeon and D. Grischkowsky, Appl. Phys. Lett. 88, 061113 (2006).
[CrossRef]

S. Maier, S. R. Andrews, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. Lett. 97, 176805 (2006).
[CrossRef] [PubMed]

2005 (1)

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, J. Opt. A 7, S97 (2005).
[CrossRef]

2004 (4)

K. Wang and D. M. Mittleman, Nature 432, 376 (2004).
[CrossRef] [PubMed]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

S. Withington, Phil. Trans. R. Soc. A 362, 395 (2004).
[CrossRef] [PubMed]

P. H. Siegel, IEEE Trans. Microwave Theory Tech. 52, 2438 (2004).
[CrossRef]

2002 (1)

B. Ferguson and X.-C. Zhang, Nat. Mater. 1, 26 (2002).
[CrossRef]

1983 (1)

Aizpurua, J.

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Alexander, R. W.

Andrews, S. R.

S. Maier, S. R. Andrews, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. Lett. 97, 176805 (2006).
[CrossRef] [PubMed]

Bell, R. J.

Bell, R. R.

Bell, S. E.

Brock, E. M. G.

E. M. G. Brock, E. Hendry, and A. P. Hibbins, Appl. Phys. Lett. 99, 051108 (2011).
[CrossRef]

Choi, S.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Eldaiki, O.

Federici, J.

J. Federici and L. Moeller, J. Appl. Phys. 107, 111101 (2010).
[CrossRef]

Ferguson, B.

B. Ferguson and X.-C. Zhang, Nat. Mater. 1, 26 (2002).
[CrossRef]

Fernandez-Dominguez, A.

Fernandez-Dominguez, A. I.

Gao, Z.

Z. Gao, X. Zhang, and L. Shen, J. Appl. Phys. 108, 113104 (2010).
[CrossRef]

Garcia-Vidal, F.

Garcia-Vidal, F. J.

A. I. Fernandez-Dominguez, E. Moreno, L. Martin-Moreno, and F. J. Garcia-Vidal, Opt. Lett. 34, 2063 (2009).
[CrossRef] [PubMed]

S. Maier, S. R. Andrews, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. Lett. 97, 176805 (2006).
[CrossRef] [PubMed]

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, J. Opt. A 7, S97 (2005).
[CrossRef]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

Grischkowsky, D.

T.-I. Jeon and D. Grischkowsky, Appl. Phys. Lett. 88, 061113 (2006).
[CrossRef]

Hendry, E.

E. M. G. Brock, E. Hendry, and A. P. Hibbins, Appl. Phys. Lett. 99, 051108 (2011).
[CrossRef]

Hibbins, A.

M. Lockyear, A. Hibbins, and J. Sambles, Phys. Rev. Lett. 102, 73901(2009).
[CrossRef]

Hibbins, A. P.

E. M. G. Brock, E. Hendry, and A. P. Hibbins, Appl. Phys. Lett. 99, 051108 (2011).
[CrossRef]

Hillenbrand, R.

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Huang, W.

Huber, A.

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Hübers, H.

H. Hübers, Nat. Photon. 4, 503 (2010).
[CrossRef]

Inclan-Sanchez, L.

E. Rajo-Iglesias, O. Quevedo-Teruel, and L. Inclan-Sanchez, IEEE Trans Antennas Propag. 57, 3852 (2009).
[CrossRef]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, 1999).

Jeon, T.-I.

T.-I. Jeon and D. Grischkowsky, Appl. Phys. Lett. 88, 061113 (2006).
[CrossRef]

Kang, J.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Keilmann, F.

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Kim, D. S.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Koo, S.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Li, B.

Lockyear, M.

M. Lockyear, A. Hibbins, and J. Sambles, Phys. Rev. Lett. 102, 73901(2009).
[CrossRef]

Long, L. L.

Lu, Z.

Maier, S.

S. Maier, S. R. Andrews, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. Lett. 97, 176805 (2006).
[CrossRef] [PubMed]

Martin-Cano, D.

Martin-Moreno, L.

Mittleman, D. M.

K. Wang and D. M. Mittleman, Nature 432, 376 (2004).
[CrossRef] [PubMed]

Moeller, L.

J. Federici and L. Moeller, J. Appl. Phys. 107, 111101 (2010).
[CrossRef]

Moreno, E.

Nesterov, M.

Ordal, M. A.

Park, D.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Park, G.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Park, H.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Park, N.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Park, Q. H.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Pendry, J. B.

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, J. Opt. A 7, S97 (2005).
[CrossRef]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

Planken, P.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Quevedo-Teruel, O.

E. Rajo-Iglesias, O. Quevedo-Teruel, and L. Inclan-Sanchez, IEEE Trans Antennas Propag. 57, 3852 (2009).
[CrossRef]

Raether, H.

H. Raether, Surface Plasmons (Springer-Verlag, 1988).

Rajo-Iglesias, E.

E. Rajo-Iglesias, O. Quevedo-Teruel, and L. Inclan-Sanchez, IEEE Trans Antennas Propag. 57, 3852 (2009).
[CrossRef]

Sambles, J.

M. Lockyear, A. Hibbins, and J. Sambles, Phys. Rev. Lett. 102, 73901(2009).
[CrossRef]

Seo, M.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Shen, L.

Z. Gao, X. Zhang, and L. Shen, J. Appl. Phys. 108, 113104 (2010).
[CrossRef]

Siegel, P. H.

P. H. Siegel, IEEE Trans. Microwave Theory Tech. 52, 2438 (2004).
[CrossRef]

Sievenpiper, D.

D. Sievenpiper, in Metamaterials (John Wiley & Sons, Inc., 2006), pp. 285–311.
[CrossRef]

Suwal, O.

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Tonouchi, M.

M. Tonouchi, Nat. Photon. 1, 97 (2007).
[CrossRef]

Wang, K.

K. Wang and D. M. Mittleman, Nature 432, 376 (2004).
[CrossRef] [PubMed]

Ward, C. A.

Withington, S.

S. Withington, Phil. Trans. R. Soc. A 362, 395 (2004).
[CrossRef] [PubMed]

Wittborn, J.

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Yang, R.

Zhang, X.

Z. Gao, X. Zhang, and L. Shen, J. Appl. Phys. 108, 113104 (2010).
[CrossRef]

Zhang, X.-C.

B. Ferguson and X.-C. Zhang, Nat. Mater. 1, 26 (2002).
[CrossRef]

Zhang, Y.

Zhao, W.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

T.-I. Jeon and D. Grischkowsky, Appl. Phys. Lett. 88, 061113 (2006).
[CrossRef]

E. M. G. Brock, E. Hendry, and A. P. Hibbins, Appl. Phys. Lett. 99, 051108 (2011).
[CrossRef]

IEEE Trans Antennas Propag. (1)

E. Rajo-Iglesias, O. Quevedo-Teruel, and L. Inclan-Sanchez, IEEE Trans Antennas Propag. 57, 3852 (2009).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

P. H. Siegel, IEEE Trans. Microwave Theory Tech. 52, 2438 (2004).
[CrossRef]

J. Appl. Phys. (2)

J. Federici and L. Moeller, J. Appl. Phys. 107, 111101 (2010).
[CrossRef]

Z. Gao, X. Zhang, and L. Shen, J. Appl. Phys. 108, 113104 (2010).
[CrossRef]

J. Opt. A (1)

F. J. Garcia-Vidal, L. Martin-Moreno, and J. B. Pendry, J. Opt. A 7, S97 (2005).
[CrossRef]

Nano Lett. (1)

A. Huber, F. Keilmann, J. Wittborn, J. Aizpurua, and R. Hillenbrand, Nano Lett. 8, 3766 (2008).
[CrossRef] [PubMed]

Nat. Mater. (1)

B. Ferguson and X.-C. Zhang, Nat. Mater. 1, 26 (2002).
[CrossRef]

Nat. Photon. (3)

M. Tonouchi, Nat. Photon. 1, 97 (2007).
[CrossRef]

H. Hübers, Nat. Photon. 4, 503 (2010).
[CrossRef]

M. Seo, H. Park, S. Koo, D. Park, J. Kang, O. Suwal, S. Choi, P. Planken, G. Park, N. Park, Q. H. Park, and D. S. Kim, Nat. Photon. 3, 152 (2009).
[CrossRef]

Nature (1)

K. Wang and D. M. Mittleman, Nature 432, 376 (2004).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (2)

Phil. Trans. R. Soc. A (1)

S. Withington, Phil. Trans. R. Soc. A 362, 395 (2004).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

S. Maier, S. R. Andrews, L. Martin-Moreno, and F. J. Garcia-Vidal, Phys. Rev. Lett. 97, 176805 (2006).
[CrossRef] [PubMed]

M. Lockyear, A. Hibbins, and J. Sambles, Phys. Rev. Lett. 102, 73901(2009).
[CrossRef]

Science (1)

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef] [PubMed]

Other (3)

D. Sievenpiper, in Metamaterials (John Wiley & Sons, Inc., 2006), pp. 285–311.
[CrossRef]

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, 1999).

H. Raether, Surface Plasmons (Springer-Verlag, 1988).

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Figures (3)

Fig. 1
Fig. 1

Inset: sketch of the structure under study with a description of the geometrical parameters (the arrow defines the mode propagation direction). Main panel: the bands associated with the fundamental EM modes supported by the system for d = 400 μm , h = 0.2 d , h = 0.6 d , g = 0.06 d , and several lateral widths L: L = 0.5 d (red), L = 1 d (green), L = 2 d (blue), L = 4 d (cyan), L = (orange). The band for the fundamental EM mode in which h = d and h = 0.6 d and L = is also shown (dashed orange line).

Fig. 2
Fig. 2

(a) Normalized propagation length of the TWG under study for different Ls as a function of λ. Upper (lower) inset: the electric (magnetic) field contour cut along a x y -plane that shows a single unit cell for L = and evaluated at λ = 1.45 mm . (b) Normalized modal size δ (see definition in the main text) for different Ls as a function of λ. Inset: Poynting vector field (modulus) distribution in a transverse x y -plane placed between the particles also evaluated at λ = 1.45 mm for L = 0.5 d . The magenta line shows the area that carries 70% of the total modal power. In both panels, the geometrical parameters are the same as those used in Fig. 1.

Fig. 3
Fig. 3

Poynting vector field (modulus) distribution in a y z -horizontal plane above ( x = 0.5 d ) the tapered TWG. The lateral width is changed gradually from L in = 8 d to L out = 0.5 d with an angle θ = 30 ° . The rest of the parameters are as in previous figures. The vector field is evaluated at λ = 1.45 mm and is in arbitrary units.

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