Abstract

A complementary split ring resonator (CSRR)-based metallic layer is proposed as a route to mimic surface plasmon polaritons. A numerical analysis of the textured surface is carried out and compared to previous prominent topologies such as metal mesh, slit array, hole array, and Sievenpiper mushroom surfaces, which are studied as well from a transmission line perspective. These well-documented geometries suffer from a narrowband response, alongside, in most cases, metal thickness constraint (usually of the order of λ/4) and non-subwavelength modal size as a result of the large dimensions of the unit cell (one dimensions is at least of the order of λ/2). All of these limitations are overcome by the proposed CSRR-based surface. Besides, a planar waveguide is proposed as a proof of the potential of this CSRR-based metallic layer for spoof surface plasmon polariton guiding. Fundamental aspects aside, the structure under study is easy to manufacture by simple PCB techniques and it is expected to provide good performance within the frequency band from GHz to THz.

© 2009 OSA

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2009 (2)

2008 (5)

W. Zhu, A. Agrawal, and A. Nahata, “Planar plasmonic terahertz guided-wave devices,” Opt. Express 16(9), 6216–6226 (2008).
[CrossRef] [PubMed]

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

N. Liu, S. Kaiser, and H. Giessen, “Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules,” Adv. Mater. 20(23), 4521 (2008).
[CrossRef]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

E. Hendry, A. P. Hibbins, and J. R. Sambles, “Importance of diffraction in determining the dispersion of designer surface plasmons,” Phys. Rev. B 78, 1–10 (2008).
[CrossRef]

2006 (5)

A. K. Sarychev, G. Shvets, and V. M. Shalaev, “Magnetic plasmon resonance,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73, 1–10 (2006).
[CrossRef]

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

S. A. Maier, “Plasmonics: Metal nanostructures for subwavelength photonic devices,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1214–1220 (2006).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

2005 (2)

F. J. García-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7(2), S97–S101 (2005).
[CrossRef]

A. P. Hibbins, B. R. Evans, and J. R. Sambles, “Experimental Verification of Designer Surface Plasmons,” Science 308(5722), 670–672 (2005).
[CrossRef] [PubMed]

2004 (3)

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004).
[CrossRef] [PubMed]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

2003 (1)

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

1999 (2)

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

1973 (1)

R. Ulrich and M. Tacke, “Submillimeter waveguide on periodic metal structure,” Appl. Phys. Lett. 22(5), 251–253 (1973).
[CrossRef]

1967 (1)

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

1950 (1)

G. Goubau, “Surface waves and their application to transmission lines,” J. Appl. Phys. 21(11), 1119–1128 (1950).
[CrossRef]

Agrawal, A.

Aknin, N.

Alexópolous, N. G.

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

Andrews, S. R.

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Atwater, H. A.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Aznabet, M.

Baena, J. D.

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Beruete, M.

M. Beruete, M. Aznabet, M. Navarro-Cía, O. El Mrabet, F. Falcone, N. Aknin, M. Essaaidi, and M. Sorolla, “Electroinductive waves role in left-handed stacked complementary split rings resonators,” Opt. Express 17(3), 1274–1281 (2009).
[CrossRef] [PubMed]

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Bonache, J.

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Chen, X.

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

El Mrabet, O.

Essaaidi, M.

Evans, B. R.

A. P. Hibbins, B. R. Evans, and J. R. Sambles, “Experimental Verification of Designer Surface Plasmons,” Science 308(5722), 670–672 (2005).
[CrossRef] [PubMed]

Falcone, F.

M. Beruete, M. Aznabet, M. Navarro-Cía, O. El Mrabet, F. Falcone, N. Aknin, M. Essaaidi, and M. Sorolla, “Electroinductive waves role in left-handed stacked complementary split rings resonators,” Opt. Express 17(3), 1274–1281 (2009).
[CrossRef] [PubMed]

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Fernández-Domínguez, A. I.

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

Freire, M. J.

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

García-Vidal, F. J.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

F. J. García-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7(2), S97–S101 (2005).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004).
[CrossRef] [PubMed]

Genov, D. A.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Giessen, H.

N. Liu, S. Kaiser, and H. Giessen, “Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules,” Adv. Mater. 20(23), 4521 (2008).
[CrossRef]

Goubau, G.

G. Goubau, “Surface waves and their application to transmission lines,” J. Appl. Phys. 21(11), 1119–1128 (1950).
[CrossRef]

Grzegorczyk, T. M.

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

Harel, E.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Hendry, E.

E. Hendry, A. P. Hibbins, and J. R. Sambles, “Importance of diffraction in determining the dispersion of designer surface plasmons,” Phys. Rev. B 78, 1–10 (2008).
[CrossRef]

Hibbins, A. P.

M. J. Lockyear, A. P. Hibbins, and J. R. Sambles, “Microwave Surface-Plasmon-Like Modes on Thin Metamaterials,” Phys. Rev. Lett. 102, 1–4 (2009).
[CrossRef]

E. Hendry, A. P. Hibbins, and J. R. Sambles, “Importance of diffraction in determining the dispersion of designer surface plasmons,” Phys. Rev. B 78, 1–10 (2008).
[CrossRef]

A. P. Hibbins, B. R. Evans, and J. R. Sambles, “Experimental Verification of Designer Surface Plasmons,” Science 308(5722), 670–672 (2005).
[CrossRef] [PubMed]

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Jimenez Broas, R. F.

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

Kaiser, S.

N. Liu, S. Kaiser, and H. Giessen, “Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules,” Adv. Mater. 20(23), 4521 (2008).
[CrossRef]

Kik, P. G.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Koel, B. E.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Kong, J. A.

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

Laso, M. A. G.

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Liu, H.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Liu, N.

N. Liu, S. Kaiser, and H. Giessen, “Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules,” Adv. Mater. 20(23), 4521 (2008).
[CrossRef]

Liu, Y. M.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Lockyear, M. J.

M. J. Lockyear, A. P. Hibbins, and J. R. Sambles, “Microwave Surface-Plasmon-Like Modes on Thin Metamaterials,” Phys. Rev. Lett. 102, 1–4 (2009).
[CrossRef]

Lopetegi, T.

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Maier, S. A.

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

S. A. Maier, “Plasmonics: Metal nanostructures for subwavelength photonic devices,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1214–1220 (2006).
[CrossRef]

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Marqués, R.

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Martín, F.

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Martín-Moreno, L.

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

F. J. García-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7(2), S97–S101 (2005).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004).
[CrossRef] [PubMed]

Meltzer, S.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Nahata, A.

Navarro-Cía, M.

Pacheco, J.

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

Pendry, J. B.

F. J. García-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7(2), S97–S101 (2005).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004).
[CrossRef] [PubMed]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Requicha, A. A.

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Sambles, J. R.

M. J. Lockyear, A. P. Hibbins, and J. R. Sambles, “Microwave Surface-Plasmon-Like Modes on Thin Metamaterials,” Phys. Rev. Lett. 102, 1–4 (2009).
[CrossRef]

E. Hendry, A. P. Hibbins, and J. R. Sambles, “Importance of diffraction in determining the dispersion of designer surface plasmons,” Phys. Rev. B 78, 1–10 (2008).
[CrossRef]

A. P. Hibbins, B. R. Evans, and J. R. Sambles, “Experimental Verification of Designer Surface Plasmons,” Science 308(5722), 670–672 (2005).
[CrossRef] [PubMed]

Sarychev, A. K.

A. K. Sarychev, G. Shvets, and V. M. Shalaev, “Magnetic plasmon resonance,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73, 1–10 (2006).
[CrossRef]

Shalaev, V. M.

A. K. Sarychev, G. Shvets, and V. M. Shalaev, “Magnetic plasmon resonance,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73, 1–10 (2006).
[CrossRef]

Shvets, G.

A. K. Sarychev, G. Shvets, and V. M. Shalaev, “Magnetic plasmon resonance,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73, 1–10 (2006).
[CrossRef]

Sievenpiper, D.

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

Sorolla, M.

M. Beruete, M. Aznabet, M. Navarro-Cía, O. El Mrabet, F. Falcone, N. Aknin, M. Essaaidi, and M. Sorolla, “Electroinductive waves role in left-handed stacked complementary split rings resonators,” Opt. Express 17(3), 1274–1281 (2009).
[CrossRef] [PubMed]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

Steele, J. M.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Sun, C.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Tacke, M.

R. Ulrich and M. Tacke, “Submillimeter waveguide on periodic metal structure,” Appl. Phys. Lett. 22(5), 251–253 (1973).
[CrossRef]

Ulrich, R.

R. Ulrich and M. Tacke, “Submillimeter waveguide on periodic metal structure,” Appl. Phys. Lett. 22(5), 251–253 (1973).
[CrossRef]

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

Williams, C. R.

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

Wu, B. I.

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

Wu, D. M.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Yablonovitch, E.

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

Zhang, L.

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

Zhang, X.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Zhu, S. N.

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

Zhu, W.

Adv. Mater. (1)

N. Liu, S. Kaiser, and H. Giessen, “Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules,” Adv. Mater. 20(23), 4521 (2008).
[CrossRef]

Appl. Phys. Lett. (3)

R. Ulrich and M. Tacke, “Submillimeter waveguide on periodic metal structure,” Appl. Phys. Lett. 22(5), 251–253 (1973).
[CrossRef]

M. Beruete, F. Falcone, M. J. Freire, R. Marqués, and J. D. Baena, “Electroinductive Waves in Chains of Complementary Metamaterial Elements,” Appl. Phys. Lett. 88, 1–3 (2006).
[CrossRef]

A. I. Fernández-Domínguez, C. R. Williams, F. J. García-Vidal, L. Martín-Moreno, S. R. Andrews, and S. A. Maier, “Terahertz surface plasmon polaritons on a helically grooved wire,” Appl. Phys. Lett. 93, 1–3 (2008).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

S. A. Maier, “Plasmonics: Metal nanostructures for subwavelength photonic devices,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1214–1220 (2006).
[CrossRef]

IEEE Trans. Microw. Theory Tech. (2)

D. Sievenpiper, L. Zhang, R. F. Jimenez Broas, N. G. Alexópolous, and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Trans. Microw. Theory Tech. 47(11), 2059–2074 (1999).
[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[CrossRef]

Infrared Phys. (1)

R. Ulrich, “Far-infrared properties of metallic mesh and its complementary structure,” Infrared Phys. 7(1), 37–55 (1967).
[CrossRef]

J. Appl. Phys. (1)

G. Goubau, “Surface waves and their application to transmission lines,” J. Appl. Phys. 21(11), 1119–1128 (1950).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

F. J. García-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A, Pure Appl. Opt. 7(2), S97–S101 (2005).
[CrossRef]

Nat. Mater. (1)

S. A. Maier, P. G. Kik, H. A. Atwater, S. Meltzer, E. Harel, B. E. Koel, and A. A. Requicha, “Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides,” Nat. Mater. 2(4), 229–232 (2003).
[CrossRef] [PubMed]

Nat. Photonics (1)

C. R. Williams, S. R. Andrews, S. A. Maier, A. I. Fernández-Domínguez, L. Martín-Moreno, and F. J. García-Vidal, “Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces,” Nat. Photonics 2(3), 175–179 (2008).
[CrossRef]

Opt. Express (2)

Phys. Rev. B (1)

E. Hendry, A. P. Hibbins, and J. R. Sambles, “Importance of diffraction in determining the dispersion of designer surface plasmons,” Phys. Rev. B 78, 1–10 (2008).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

X. Chen, T. M. Grzegorczyk, B. I. Wu, J. Pacheco, and J. A. Kong, “Robust method to retrieve the constitutive effective parameters of metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70, 1–7 (2004).
[CrossRef]

A. K. Sarychev, G. Shvets, and V. M. Shalaev, “Magnetic plasmon resonance,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73, 1–10 (2006).
[CrossRef]

Phys. Rev. Lett. (4)

H. Liu, D. A. Genov, D. M. Wu, Y. M. Liu, J. M. Steele, C. Sun, S. N. Zhu, and X. Zhang, “Magnetic Plasmon Propagation Along a Chain of Connected Subwavelength Resonators at Infrared Frequencies,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

F. Falcone, T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M. Beruete, R. Marqués, F. Martín, and M. Sorolla, “Babinet principle applied to metasurface and metamaterial design,” Phys. Rev. Lett. 93, 1–4 (2004).
[CrossRef]

S. A. Maier, S. R. Andrews, L. Martín-Moreno, and F. J. García-Vidal, “Terahertz Surface Plasmon-Polariton Propagation and Focusing on Periodically Corrugated Metal Wires,” Phys. Rev. Lett. 97, 1–4 (2006).
[CrossRef]

M. J. Lockyear, A. P. Hibbins, and J. R. Sambles, “Microwave Surface-Plasmon-Like Modes on Thin Metamaterials,” Phys. Rev. Lett. 102, 1–4 (2009).
[CrossRef]

Science (2)

J. B. Pendry, L. Martín-Moreno, and F. J. García-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004).
[CrossRef] [PubMed]

A. P. Hibbins, B. R. Evans, and J. R. Sambles, “Experimental Verification of Designer Surface Plasmons,” Science 308(5722), 670–672 (2005).
[CrossRef] [PubMed]

Other (7)

D. Pozar, Microwave Engineering (John Wiley & Sons, New York, 2004).

G. V. Eleftheriades, and K. G. Balmain, Negative-Refraction Metamaterials (John Wiley & Sons, Hoboken, New Jersey, 2005).

C. Caloz, and T. Itoh, Electromagnetic metamaterials: transmission line theory and microwave applications (John Wiley & Sons, Hoboken, New Jersey, 2006).

R. Marqués, F. Martín, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications (John Wiley & Sons, New York, 2008).

L. Solymar, and E. Shamonina, Waves in Metamaterials (Oxford University Press, New York, 2009).

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, New York, 2007)

R. Ulrich, “Modes of propagation on an open periodic waveguide for the far infrared,” in Proceedings Symp. Opt. Acoust. Microelectron., (Polytechnic Press of the Polytechnic Institute of New York. New York, 1974).

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Figures (8)

Fig. 1
Fig. 1

Sketch (left) and circuit model (right) of the Spoof SPPs MI structures analyzed in the present work: Array of slits (a), Sievenpiper mushroom (b), and CSRRs-based metasurface (c). Blue arrows indicate the point of view of the circuit model.

Fig. 2
Fig. 2

Dispersion diagram normalized to the unit cell dimension d of the following spoof SPPs MI geometries: array of slits (pink line) and holes (green line), Sievenpiper mushroom (blue line), and CSRRs-based metasurface (red line). Light line in dotted orange line. Insets: unit cells.

Fig. 3
Fig. 3

Equivalent circuit model for (a) Sievenpiper mushrooms and (b) CSRRs-based SPP. To understand the origin of the different components, they have been superimposed onto the sketches of the geometries.

Fig. 4
Fig. 4

Dispersion diagram of the CSRRs-induced spoof SPPs for different values of height and permittivity of the dielectric slab.

Fig. 5
Fig. 5

(a) Electric field, arrows, and |Hx| background gray scale within the unit cell (fundamental eigenmode); Cross-sectional view at the middle plane of a chain of 25 unit cells (1.6λSSPP) of |Ey | (b), and |Ez | (c) in arbitrary units; (d) Electric energy density along the planar waveguide.

Fig. 6
Fig. 6

Dispersion diagram of the following spoof SPPs IMI geometries: metallic mesh (green line), rectangular holes (blue line), and CSRRs-based metasurface (red line). Light line in dotted orange line. Notice that in the case of rectangular holes we are dealing with two different in-plane lattice constants and the normalization is done to the shortest one. That is why blue curve does not follow the light line in M-Γ zone for low frequencies. Insets are not to scale to each other. Only fundamental modes are represented.

Fig. 7
Fig. 7

(a) Equivalent circuit model for CSRRs-based SPP from surface impedance perspective (top) and transmission line along the surface (bottom). (b) Normalized impedance of a metasurface composed of CSRR: Real part (blue line) and imaginary part (red line).

Fig. 8
Fig. 8

(a) Electric field, arrows, and |Hx| background gray scale within the unit cell (fundamental eigenmode); Cross-sectional view at the middle plane of a chain of 25 unit cells (3.5λSSPP) of |Ey | (b), and |Ez | (c) in arbitrary units; (d) Electric energy density along the planar waveguide.

Equations (1)

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Zin=jZTLtan(βh)

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