Abstract

We investigate the propagation properties of terahertz plasmon of a metallic nanowire with sub-skin-depth diameter. By taking the small radius and the huge relative permittivity into account, we establish an approximate analytical description for this kind of surface plasmon. It is shown that the main propagation properties are closely related to the product of the radius of the metallic nanowire and the complex wave number of the metal. In addition, when the radius of the metal wire is smaller than the skin-depth, the size of the modal field is simply proportional to the radius of the metal wire. We also carefully verify these analytical predictions with rigorous numerical simulations.

© 2010 OSA

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2010 (2)

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

J. Yang, Q. Cao, and C. Zhou, “An analytical recurrence formula for the zero-order metal wire plasmon of terahertz wave,” J. Opt. Soc. Am. A 27(7), 1608–1612 (2010).
[CrossRef]

2009 (6)

M. Awad, M. Nagel, and H. Kurz, “Tapered Sommerfeld wire terahertz near-field imaging,” Appl. Phys. Lett. 94(5), 051107 (2009).
[CrossRef]

V. Astley, R. Mendis, and D. Mittleman, “Characterization of terahertz field confinement at the end of a tapered metal wire waveguide,” Appl. Phys. Lett. 95(3), 031104 (2009).
[CrossRef]

J. Yang, Q. Cao, and C. Zhou, “An explicit formula for metal wire plasmon of terahertz wave,” Opt. Express 17(23), 20806–20815 (2009).
[CrossRef] [PubMed]

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

L. Martin-Moreno, “Terahertz technology: Mind the gap,” Nat. Photonics 3(3), 131–132 (2009).
[CrossRef]

2008 (7)

2007 (2)

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

M. Wächter, M. Nagel, and H. Kurz, “Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission,” Appl. Phys. Lett. 90(6), 061111 (2007).
[CrossRef]

2006 (9)

M. Nagel, A. Marchewka, and H. Kurz, “Low-index discontinuity terahertz waveguides,” Opt. Express 14(21), 9944–9954 (2006).
[CrossRef] [PubMed]

L. J. Chen, H. W. Chen, T. F. Kao, J. Y. Lu, and C. K. Sun, “Low-loss subwavelength plastic fiber for terahertz waveguiding,” Opt. Lett. 31(3), 308–310 (2006).
[CrossRef] [PubMed]

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(17), 176805 (2006).
[CrossRef] [PubMed]

K. Wang and D. M. Mittleman, “Dispersion of surface plasmon polaritons on metal wires in the terahertz frequency range,” Phys. Rev. Lett. 96(15), 157401 (2006).
[CrossRef] [PubMed]

J. A. Deibel, K. Wang, M. D. Escarra, and D. M. Mittleman, “Enhanced coupling of terahertz radiation to cylindrical wire waveguides,” Opt. Express 14(1), 279–290 (2006).
[CrossRef] [PubMed]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

Y. Chen, Z. Song, Y. Li, M. Hu, Q. Xing, Z. Zhang, L. Chai, and C. Y. Wang, “Effective surface plasmon polaritons on the metal wire with arrays of subwavelength grooves,” Opt. Express 14(26), 13021–13029 (2006).
[CrossRef] [PubMed]

C. Themistos, B. M. A. Rahman, M. Rajarajan, V. Rakocevic, and K. T. V. Grattan, “Finite Element Solutions of Surface-Plasmon Modes in Metal-Clad Dielectric Waveguides at THz Frequency,” J. Lightwave Technol. 24(12), 5111–5118 (2006).
[CrossRef]

X. He, J. Cao, and S. Feng, “Simulation of the Propagation Property of Metal Wires Terahertz Waveguides,” Chin. Phys. Lett. 23(8), 2066–2069 (2006).
[CrossRef]

2005 (6)

2004 (4)

M. J. Fitch and R. Osiander, “Terahertz waves for communications and sensing,” Johns Hopkins APL Tech. Dig. 25, 348–355 (2004).

K. Wang and D. M. Mittleman, “Metal wires for terahertz wave guiding,” Nature 432(7015), 376–379 (2004).
[CrossRef] [PubMed]

J. Harrington, R. George, P. Pedersen, and E. Mueller, “Hollow polycarbonate waveguides with inner Cu coatings for delivery of terahertz radiation,” Opt. Express 12(21), 5263–5268 (2004).
[CrossRef] [PubMed]

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[CrossRef] [PubMed]

2003 (1)

W. Shi and Y. J. Ding, “Designs of terahertz waveguides for efficient parametric terahertz generation,” Appl. Phys. Lett. 82(25), 4435 (2003).
[CrossRef]

2002 (1)

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

2001 (1)

U. Schröter and A. Dereux, “Surface plasmon polaritons on metal cylinders with dielectric core,” Phys. Rev. B 64(12), 125420 (2001).
[CrossRef]

2000 (3)

S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Single-mode waveguide propagation and reshaping of sub-ps terahertz pulses in sapphire fibers,” Appl. Phys. Lett. 76(15), 1987 (2000).
[CrossRef]

R. Mendis and D. Grischkowsky, “Plastic ribbon THz waveguides,” J. Appl. Phys. 88(7), 4449 (2000).
[CrossRef]

G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Terahertz waveguides,” J. Opt. Soc. Am. B 17(5), 851–863 (2000).
[CrossRef]

1999 (1)

1996 (1)

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69(16), 2321 (1996).
[CrossRef]

1995 (1)

1985 (1)

Abbott, D.

Afshar V, S.

Alexander, R. W.

Andrews, S. R.

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(17), 176805 (2006).
[CrossRef] [PubMed]

Astley, V.

V. Astley, R. Mendis, and D. Mittleman, “Characterization of terahertz field confinement at the end of a tapered metal wire waveguide,” Appl. Phys. Lett. 95(3), 031104 (2009).
[CrossRef]

Atakaramians, S.

Awad, M.

M. Awad, M. Nagel, and H. Kurz, “Tapered Sommerfeld wire terahertz near-field imaging,” Appl. Phys. Lett. 94(5), 051107 (2009).
[CrossRef]

Bartal, G.

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

Bell, R. J.

Berndsen, N.

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

Cao, H.

Cao, J.

X. He, J. Cao, and S. Feng, “Simulation of the Propagation Property of Metal Wires Terahertz Waveguides,” Chin. Phys. Lett. 23(8), 2066–2069 (2006).
[CrossRef]

Cao, Q.

Chai, L.

Chen, H. W.

Chen, L. J.

Chen, Y.

Cho, M.

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

Choi, S. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Deibel, J. A.

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

J. A. Deibel, K. Wang, M. D. Escarra, and D. M. Mittleman, “Enhanced coupling of terahertz radiation to cylindrical wire waveguides,” Opt. Express 14(1), 279–290 (2006).
[CrossRef] [PubMed]

Dereux, A.

U. Schröter and A. Dereux, “Surface plasmon polaritons on metal cylinders with dielectric core,” Phys. Rev. B 64(12), 125420 (2001).
[CrossRef]

Ding, Y. J.

W. Shi and Y. J. Ding, “Designs of terahertz waveguides for efficient parametric terahertz generation,” Appl. Phys. Lett. 82(25), 4435 (2003).
[CrossRef]

Dupuis, A.

Escarra, M.

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

Escarra, M. D.

Feng, S.

X. He, J. Cao, and S. Feng, “Simulation of the Propagation Property of Metal Wires Terahertz Waveguides,” Chin. Phys. Lett. 23(8), 2066–2069 (2006).
[CrossRef]

Fischer, B. M.

Fitch, M. J.

M. J. Fitch and R. Osiander, “Terahertz waves for communications and sensing,” Johns Hopkins APL Tech. Dig. 25, 348–355 (2004).

Freeman, M. R.

M. Walther, M. R. Freeman, and F. A. Hegmann, “Metal-wire terahertz time-domain spectroscopy,” Appl. Phys. Lett. 87(26), 261107 (2005).
[CrossRef]

Gallot, G.

García-Vidal, F. J.

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(17), 176805 (2006).
[CrossRef] [PubMed]

Genov, D. A.

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

George, R.

Gong, Y.

Grattan, K. T. V.

Grischkowsky, D.

T.-I. Jeon, J.-Q. Zhang, and D. Grischkowsky, “THz Sommerfeld wave propagation on a single metal wire,” Appl. Phys. Lett. 86(16), 161904 (2005).
[CrossRef]

S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Single-mode waveguide propagation and reshaping of sub-ps terahertz pulses in sapphire fibers,” Appl. Phys. Lett. 76(15), 1987 (2000).
[CrossRef]

G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Terahertz waveguides,” J. Opt. Soc. Am. B 17(5), 851–863 (2000).
[CrossRef]

R. Mendis and D. Grischkowsky, “Plastic ribbon THz waveguides,” J. Appl. Phys. 88(7), 4449 (2000).
[CrossRef]

R. W. McGowan, G. Gallot, and D. Grischkowsky, “Propagation of ultrawideband short pulses of terahertz radiation through submillimeter-diameter circular waveguides,” Opt. Lett. 24(20), 1431–1433 (1999).
[CrossRef]

Han, H.

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

Harrington, J.

Hassani, A.

He, X.

X. He, J. Cao, and S. Feng, “Simulation of the Propagation Property of Metal Wires Terahertz Waveguides,” Chin. Phys. Lett. 23(8), 2066–2069 (2006).
[CrossRef]

Hegmann, F. A.

M. Walther, M. R. Freeman, and F. A. Hegmann, “Metal-wire terahertz time-domain spectroscopy,” Appl. Phys. Lett. 87(26), 261107 (2005).
[CrossRef]

Heinz, T. F.

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69(16), 2321 (1996).
[CrossRef]

Hu, B. B.

Hu, J.

Hu, M.

Ishikawa, A.

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

Jahns, J.

Jamison, S. P.

G. Gallot, S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Terahertz waveguides,” J. Opt. Soc. Am. B 17(5), 851–863 (2000).
[CrossRef]

S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Single-mode waveguide propagation and reshaping of sub-ps terahertz pulses in sapphire fibers,” Appl. Phys. Lett. 76(15), 1987 (2000).
[CrossRef]

Jang, J. S.

Jeon, T.-I.

Y. B. Ji, E. S. Lee, J. S. Jang, and T.-I. Jeon, “Enhancement of the detection of THz Sommerfeld wave using a conical wire waveguide,” Opt. Express 16(1), 271–278 (2008).
[CrossRef] [PubMed]

T.-I. Jeon, J.-Q. Zhang, and D. Grischkowsky, “THz Sommerfeld wave propagation on a single metal wire,” Appl. Phys. Lett. 86(16), 161904 (2005).
[CrossRef]

Ji, Y. B.

Kang, J. H.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Kao, T. F.

Kim, D. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Kim, J.

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

Koo, S. M.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Kurz, H.

M. Awad, M. Nagel, and H. Kurz, “Tapered Sommerfeld wire terahertz near-field imaging,” Appl. Phys. Lett. 94(5), 051107 (2009).
[CrossRef]

M. Wächter, M. Nagel, and H. Kurz, “Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission,” Appl. Phys. Lett. 90(6), 061111 (2007).
[CrossRef]

M. Nagel, A. Marchewka, and H. Kurz, “Low-index discontinuity terahertz waveguides,” Opt. Express 14(21), 9944–9954 (2006).
[CrossRef] [PubMed]

M. Wächter, M. Nagel, and H. Kurz, “Frequency-dependent characterization of THz Sommerfeld wave propagation on single-wires,” Opt. Express 13(26), 10815–10822 (2005).
[CrossRef] [PubMed]

Lee, E. S.

Li, Y.

Liang, H.

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

H. Liang, S. Ruan, and M. Zhang, “Terahertz surface wave propagation and focusing on conical metal wires,” Opt. Express 16(22), 18241–18248 (2008).
[CrossRef] [PubMed]

Long, L. L.

Lu, J. Y.

Luiten, O. J.

P. W. Smorenburg, W. Op ’t Root, and O. J. Luiten, “Direct generation of terahertz surface plasmon polaritons on a wire using electron bunches’,” Phys. Rev. B 78(11), 115415 (2008).
[CrossRef]

Maier, S. A.

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(17), 176805 (2006).
[CrossRef] [PubMed]

Marchewka, A.

Martin-Moreno, L.

L. Martin-Moreno, “Terahertz technology: Mind the gap,” Nat. Photonics 3(3), 131–132 (2009).
[CrossRef]

Martín-Moreno, L.

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(17), 176805 (2006).
[CrossRef] [PubMed]

McGowan, R. W.

Mendis, R.

V. Astley, R. Mendis, and D. Mittleman, “Characterization of terahertz field confinement at the end of a tapered metal wire waveguide,” Appl. Phys. Lett. 95(3), 031104 (2009).
[CrossRef]

R. Mendis and D. Grischkowsky, “Plastic ribbon THz waveguides,” J. Appl. Phys. 88(7), 4449 (2000).
[CrossRef]

Mittleman, D.

V. Astley, R. Mendis, and D. Mittleman, “Characterization of terahertz field confinement at the end of a tapered metal wire waveguide,” Appl. Phys. Lett. 95(3), 031104 (2009).
[CrossRef]

Mittleman, D. M.

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

K. Wang and D. M. Mittleman, “Dispersion of surface plasmon polaritons on metal wires in the terahertz frequency range,” Phys. Rev. Lett. 96(15), 157401 (2006).
[CrossRef] [PubMed]

J. A. Deibel, K. Wang, M. D. Escarra, and D. M. Mittleman, “Enhanced coupling of terahertz radiation to cylindrical wire waveguides,” Opt. Express 14(1), 279–290 (2006).
[CrossRef] [PubMed]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

K. Wang and D. M. Mittleman, “Guided propagation of terahertz pulses on metal wires,” J. Opt. Soc. Am. B 22(9), 2001–2008 (2005).
[CrossRef]

K. Wang and D. M. Mittleman, “Metal wires for terahertz wave guiding,” Nature 432(7015), 376–379 (2004).
[CrossRef] [PubMed]

Monro, T. M.

Mueller, E.

Nagel, M.

M. Awad, M. Nagel, and H. Kurz, “Tapered Sommerfeld wire terahertz near-field imaging,” Appl. Phys. Lett. 94(5), 051107 (2009).
[CrossRef]

M. Wächter, M. Nagel, and H. Kurz, “Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission,” Appl. Phys. Lett. 90(6), 061111 (2007).
[CrossRef]

M. Nagel, A. Marchewka, and H. Kurz, “Low-index discontinuity terahertz waveguides,” Opt. Express 14(21), 9944–9954 (2006).
[CrossRef] [PubMed]

M. Wächter, M. Nagel, and H. Kurz, “Frequency-dependent characterization of THz Sommerfeld wave propagation on single-wires,” Opt. Express 13(26), 10815–10822 (2005).
[CrossRef] [PubMed]

Nahata, A.

H. Cao and A. Nahata, “Coupling of terahertz pulses onto a single metal wire waveguide using milled grooves,” Opt. Express 13(18), 7028–7034 (2005).
[CrossRef] [PubMed]

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69(16), 2321 (1996).
[CrossRef]

Nuss, M. C.

Ong Ling Chuen, M.

Op ’t Root, W.

P. W. Smorenburg, W. Op ’t Root, and O. J. Luiten, “Direct generation of terahertz surface plasmon polaritons on a wire using electron bunches’,” Phys. Rev. B 78(11), 115415 (2008).
[CrossRef]

Ordal, M. A.

Osiander, R.

M. J. Fitch and R. Osiander, “Terahertz waves for communications and sensing,” Johns Hopkins APL Tech. Dig. 25, 348–355 (2004).

Park, D. J.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, G. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, H.

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

Park, H. R.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, N. K.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, Q. H.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Paulose, V.

Pedersen, P.

Planken, P. C. M.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

Querry, M. R.

Rahman, B. M. A.

Rajarajan, M.

Rakocevic, V.

Ren, G.

Ruan, S.

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

H. Liang, S. Ruan, and M. Zhang, “Terahertz surface wave propagation and focusing on conical metal wires,” Opt. Express 16(22), 18241–18248 (2008).
[CrossRef] [PubMed]

Schröter, U.

U. Schröter and A. Dereux, “Surface plasmon polaritons on metal cylinders with dielectric core,” Phys. Rev. B 64(12), 125420 (2001).
[CrossRef]

Seo, M. A.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Shi, W.

W. Shi and Y. J. Ding, “Designs of terahertz waveguides for efficient parametric terahertz generation,” Appl. Phys. Lett. 82(25), 4435 (2003).
[CrossRef]

Shum, P.

Skorobogatiy, M.

Smorenburg, P. W.

P. W. Smorenburg, W. Op ’t Root, and O. J. Luiten, “Direct generation of terahertz surface plasmon polaritons on a wire using electron bunches’,” Phys. Rev. B 78(11), 115415 (2008).
[CrossRef]

Song, Z.

Stockman, M. I.

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[CrossRef] [PubMed]

Su, H.

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

Sun, C. K.

Suwal, O. K.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

Themistos, C.

van der Valk, N. C. J.

Wächter, M.

M. Wächter, M. Nagel, and H. Kurz, “Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission,” Appl. Phys. Lett. 90(6), 061111 (2007).
[CrossRef]

M. Wächter, M. Nagel, and H. Kurz, “Frequency-dependent characterization of THz Sommerfeld wave propagation on single-wires,” Opt. Express 13(26), 10815–10822 (2005).
[CrossRef] [PubMed]

Walther, M.

M. Walther, M. R. Freeman, and F. A. Hegmann, “Metal-wire terahertz time-domain spectroscopy,” Appl. Phys. Lett. 87(26), 261107 (2005).
[CrossRef]

Wang, C. Y.

Wang, G.

Wang, K.

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

K. Wang and D. M. Mittleman, “Dispersion of surface plasmon polaritons on metal wires in the terahertz frequency range,” Phys. Rev. Lett. 96(15), 157401 (2006).
[CrossRef] [PubMed]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

J. A. Deibel, K. Wang, M. D. Escarra, and D. M. Mittleman, “Enhanced coupling of terahertz radiation to cylindrical wire waveguides,” Opt. Express 14(1), 279–290 (2006).
[CrossRef] [PubMed]

K. Wang and D. M. Mittleman, “Guided propagation of terahertz pulses on metal wires,” J. Opt. Soc. Am. B 22(9), 2001–2008 (2005).
[CrossRef]

K. Wang and D. M. Mittleman, “Metal wires for terahertz wave guiding,” Nature 432(7015), 376–379 (2004).
[CrossRef] [PubMed]

Weling, A. S.

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69(16), 2321 (1996).
[CrossRef]

Xing, Q.

Yang, J.

Yu, X.

Zhang, J.-Q.

T.-I. Jeon, J.-Q. Zhang, and D. Grischkowsky, “THz Sommerfeld wave propagation on a single metal wire,” Appl. Phys. Lett. 86(16), 161904 (2005).
[CrossRef]

Zhang, M.

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

H. Liang, S. Ruan, and M. Zhang, “Terahertz surface wave propagation and focusing on conical metal wires,” Opt. Express 16(22), 18241–18248 (2008).
[CrossRef] [PubMed]

Zhang, S.

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

Zhang, X.

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

Zhang, Z.

Zhou, C.

Appl. Opt. (1)

Appl. Phys. Lett. (9)

W. Shi and Y. J. Ding, “Designs of terahertz waveguides for efficient parametric terahertz generation,” Appl. Phys. Lett. 82(25), 4435 (2003).
[CrossRef]

M. Wächter, M. Nagel, and H. Kurz, “Metallic slit waveguide for dispersion-free low-loss terahertz signal transmission,” Appl. Phys. Lett. 90(6), 061111 (2007).
[CrossRef]

A. Nahata, A. S. Weling, and T. F. Heinz, “A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling,” Appl. Phys. Lett. 69(16), 2321 (1996).
[CrossRef]

M. Walther, M. R. Freeman, and F. A. Hegmann, “Metal-wire terahertz time-domain spectroscopy,” Appl. Phys. Lett. 87(26), 261107 (2005).
[CrossRef]

T.-I. Jeon, J.-Q. Zhang, and D. Grischkowsky, “THz Sommerfeld wave propagation on a single metal wire,” Appl. Phys. Lett. 86(16), 161904 (2005).
[CrossRef]

M. Awad, M. Nagel, and H. Kurz, “Tapered Sommerfeld wire terahertz near-field imaging,” Appl. Phys. Lett. 94(5), 051107 (2009).
[CrossRef]

V. Astley, R. Mendis, and D. Mittleman, “Characterization of terahertz field confinement at the end of a tapered metal wire waveguide,” Appl. Phys. Lett. 95(3), 031104 (2009).
[CrossRef]

S. P. Jamison, R. W. McGowan, and D. Grischkowsky, “Single-mode waveguide propagation and reshaping of sub-ps terahertz pulses in sapphire fibers,” Appl. Phys. Lett. 76(15), 1987 (2000).
[CrossRef]

H. Han, H. Park, M. Cho, and J. Kim, “Terahertz pulse propagation in a plastic photonic crystal fiber,” Appl. Phys. Lett. 80(15), 2634 (2002).
[CrossRef]

C. R. Phys. (1)

J. A. Deibel, K. Wang, M. Escarra, N. Berndsen, and D. M. Mittleman, “The excitation and emission of terahertz surface plasmon polaritons on metal wire waveguides,” C. R. Phys. 9(2), 215–231 (2008).
[CrossRef]

Chin. Phys. Lett. (1)

X. He, J. Cao, and S. Feng, “Simulation of the Propagation Property of Metal Wires Terahertz Waveguides,” Chin. Phys. Lett. 23(8), 2066–2069 (2006).
[CrossRef]

J. Appl. Phys. (1)

R. Mendis and D. Grischkowsky, “Plastic ribbon THz waveguides,” J. Appl. Phys. 88(7), 4449 (2000).
[CrossRef]

J. Lightwave Technol. (1)

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

J. Opt. Soc. Am. B (2)

Johns Hopkins APL Tech. Dig. (1)

M. J. Fitch and R. Osiander, “Terahertz waves for communications and sensing,” Johns Hopkins APL Tech. Dig. 25, 348–355 (2004).

Nat. Photonics (2)

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics 3(3), 152–156 (2009).
[CrossRef]

L. Martin-Moreno, “Terahertz technology: Mind the gap,” Nat. Photonics 3(3), 131–132 (2009).
[CrossRef]

Nature (1)

K. Wang and D. M. Mittleman, “Metal wires for terahertz wave guiding,” Nature 432(7015), 376–379 (2004).
[CrossRef] [PubMed]

Opt. Commun. (1)

H. Liang, S. Ruan, M. Zhang, and H. Su, “Nanofocusing of terahertz wave on conical metal wire waveguides,” Opt. Commun. 283(2), 262–264 (2010).
[CrossRef]

Opt. Express (14)

A. Hassani, A. Dupuis, and M. Skorobogatiy, “Porous polymer fibers for low-loss Terahertz guiding,” Opt. Express 16(9), 6340–6351 (2008).
[CrossRef] [PubMed]

G. Ren, Y. Gong, P. Shum, X. Yu, J. Hu, G. Wang, M. Ong Ling Chuen, and V. Paulose, “Low-loss air-core polarization maintaining terahertz fiber,” Opt. Express 16(18), 13593–13598 (2008).
[CrossRef] [PubMed]

S. Atakaramians, S. Afshar V, B. M. Fischer, D. Abbott, and T. M. Monro, “Porous fibers: a novel approach to low loss THz waveguides,” Opt. Express 16(12), 8845–8854 (2008).
[CrossRef] [PubMed]

J. Yang, Q. Cao, and C. Zhou, “An explicit formula for metal wire plasmon of terahertz wave,” Opt. Express 17(23), 20806–20815 (2009).
[CrossRef] [PubMed]

H. Liang, S. Ruan, and M. Zhang, “Terahertz surface wave propagation and focusing on conical metal wires,” Opt. Express 16(22), 18241–18248 (2008).
[CrossRef] [PubMed]

Y. B. Ji, E. S. Lee, J. S. Jang, and T.-I. Jeon, “Enhancement of the detection of THz Sommerfeld wave using a conical wire waveguide,” Opt. Express 16(1), 271–278 (2008).
[CrossRef] [PubMed]

J. Harrington, R. George, P. Pedersen, and E. Mueller, “Hollow polycarbonate waveguides with inner Cu coatings for delivery of terahertz radiation,” Opt. Express 12(21), 5263–5268 (2004).
[CrossRef] [PubMed]

Q. Cao and J. Jahns, “Azimuthally polarized surface plasmons as effective terahertz waveguides,” Opt. Express 13(2), 511–518 (2005).
[CrossRef] [PubMed]

H. Cao and A. Nahata, “Coupling of terahertz pulses onto a single metal wire waveguide using milled grooves,” Opt. Express 13(18), 7028–7034 (2005).
[CrossRef] [PubMed]

M. Wächter, M. Nagel, and H. Kurz, “Frequency-dependent characterization of THz Sommerfeld wave propagation on single-wires,” Opt. Express 13(26), 10815–10822 (2005).
[CrossRef] [PubMed]

J. A. Deibel, K. Wang, M. D. Escarra, and D. M. Mittleman, “Enhanced coupling of terahertz radiation to cylindrical wire waveguides,” Opt. Express 14(1), 279–290 (2006).
[CrossRef] [PubMed]

J. A. Deibel, N. Berndsen, K. Wang, D. M. Mittleman, N. C. J. van der Valk, and P. C. M. Planken, “Frequency-dependent radiation patterns emitted by THz plasmons on finite length cylindrical metal wires,” Opt. Express 14(19), 8772–8778 (2006).
[CrossRef] [PubMed]

Y. Chen, Z. Song, Y. Li, M. Hu, Q. Xing, Z. Zhang, L. Chai, and C. Y. Wang, “Effective surface plasmon polaritons on the metal wire with arrays of subwavelength grooves,” Opt. Express 14(26), 13021–13029 (2006).
[CrossRef] [PubMed]

M. Nagel, A. Marchewka, and H. Kurz, “Low-index discontinuity terahertz waveguides,” Opt. Express 14(21), 9944–9954 (2006).
[CrossRef] [PubMed]

Opt. Lett. (3)

Phys. Rev. B (2)

P. W. Smorenburg, W. Op ’t Root, and O. J. Luiten, “Direct generation of terahertz surface plasmon polaritons on a wire using electron bunches’,” Phys. Rev. B 78(11), 115415 (2008).
[CrossRef]

U. Schröter and A. Dereux, “Surface plasmon polaritons on metal cylinders with dielectric core,” Phys. Rev. B 64(12), 125420 (2001).
[CrossRef]

Phys. Rev. Lett. (4)

M. I. Stockman, “Nanofocusing of optical energy in tapered plasmonic waveguides,” Phys. Rev. Lett. 93(13), 137404 (2004).
[CrossRef] [PubMed]

A. Ishikawa, S. Zhang, D. A. Genov, G. Bartal, and X. Zhang, “Deep subwavelength terahertz waveguides using gap magnetic plasmon,” Phys. Rev. Lett. 102(4), 043904 (2009).
[CrossRef] [PubMed]

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(17), 176805 (2006).
[CrossRef] [PubMed]

K. Wang and D. M. Mittleman, “Dispersion of surface plasmon polaritons on metal wires in the terahertz frequency range,” Phys. Rev. Lett. 96(15), 157401 (2006).
[CrossRef] [PubMed]

Proc. IEEE (1)

J. A. Deibel, M. Escarra, N. Berndsen, K. Wang, and D. M. Mittleman, “Finite-Element Method Simulations of Guided Wave Phenomena at Terahertz Frequencies,” Proc. IEEE 95(8), 1624–1640 (2007).
[CrossRef]

Other (1)

M. Born, and E. Wolf, Principles of Optics, 5th ed. (Pergamon Press, 1975).

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Figures (3)

Fig. 1
Fig. 1

(a) Comparison between the approximate values neff,2 and the exact values neff, for metal copper and 0.5 THz. The dashed curve is Im(neff) and the signs “+” show Im(neff,2). The solid curve is Re(neff) and the signs “o” show Re(neff,2). (b) The relative deviation of neff,2. The solid curve represents the relative deviations of Re(neff,2), and the dashed curve is the relative deviations of Im(neff,2).

Fig. 2
Fig. 2

Comparison between the approximate values and the exact values of the attenuation coefficient, for metal copper and 0.5 THz. The red curve denotes the exact values and the black curve denotes the approximate values. Note that the red curve and the black curve cannot be distinguished.

Fig. 3
Fig. 3

Comparison between the approximate sizes of the modal fields and the exact sizes of the modal fields, for metal copper and 0.5 THz. The red curves are the exact values of Hφ field. The black solid lines denote the approximate sizes of the modal fields and black dashed lines show the exact sizes of the modal fields. (a) The case for a copper wire with a radius of 5 nm. (b) The case for a copper wire with a radius of 50 nm. (c) The case for a copper wire with a radius of 500 nm. Note that the dashed lines and the solid lines cannot be distinguished for the positions of r = 2R in (a), (b), and (c); and for the position of r = 0.5R in (a).

Equations (8)

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ε m κ m I 1 ( k 0 κ m R ) I 0 ( k 0 κ m R ) + 1 κ a K 1 ( k 0 κ a R ) K 0 ( k 0 κ a R ) = 0 ,
κ a 2 K 0 ( k 0 R κ a ) = a ,
a = 1 k 0 R ε m I 0 ( k 0 R ε m ) I 1 ( k 0 R ε m ) .
κ a,n 2 K 0 ( k 0 R κ a,n 1 ) = a ,
κ a,n = a K 0 ( k 0 R κ a,n 1 ) ,
κ a,0 = a .
κ a,2 = a [ K 0 ( k 0 R a K 0 ( k 0 R a       ) ) ] 1 / 2 ,
n eff , 2 = κ a , 2 2 + 1 .

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