Abstract

We explore the relationship between the near-field enhancement, absorption, and scattering spectra of localized plasmonic elements. A simple oscillator model including both internal and radiative damping is developed, and is shown to accurately capture the near- and far-field spectral features of linear optical antennas, including their phase response. At wavelengths away from the interband transitions of the metal, we expect the absorption of a plasmonic element to be red-shifted relative to the scattering, and the near-field to be red-shifted relative to both.

© 2011 OSA

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  2. H. A. Atwater, “The promise of plasmonics,” Sci. Am. 296(4), 56–63 (2007).
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  3. M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).
  4. E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
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  11. J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
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  12. P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
    [CrossRef] [PubMed]
  13. L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).
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  16. N. Yu and F. Capasso, “Wavefront engineering for mid-infrared and terahertz quantum cascade lasers,” J. Opt. Soc. Am. B 27(11), B18 (2010).
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  17. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).
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  20. S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
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  26. N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
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  30. N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
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  31. Our FDTD simulations were performed with Lumerical FDTD Solutions 6.5.
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    [CrossRef]
  36. S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
    [CrossRef]

2011

L. Novotny and N. van Hulst, “Antennas for light,” Nat. Photonics 5, 83–90 (2011).

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

J. Zuloaga and P. Nordlander, “On the energy shift between near-field and far-field peak intensities in localized plasmon systems,” Nano Lett. 11(3), 1280–1283 (2011).
[CrossRef] [PubMed]

2010

J. Ginn, D. Shelton, P. Krenz, B. Lail, and G. Boreman, “Polarized infrared emission using frequency selective surfaces,” Opt. Express 18(5), 4557–4563 (2010).
[CrossRef] [PubMed]

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics 4(5), 312–315 (2010).
[CrossRef]

N. Yu and F. Capasso, “Wavefront engineering for mid-infrared and terahertz quantum cascade lasers,” J. Opt. Soc. Am. B 27(11), B18 (2010).
[CrossRef]

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

2009

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

B. M. Ross and L. P. Lee, “Comparison of near- and far-field measures for plasmon resonance of metallic nanoparticles,” Opt. Lett. 34(7), 896 (2009).
[CrossRef] [PubMed]

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

2008

G. W. Bryant, F. J. García de Abajo, and J. Aizpurua, “Mapping the plasmon resonances of metallic nanoantennas,” Nano Lett. 8(2), 631–636 (2008).
[CrossRef] [PubMed]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

2007

S. Lal, S. Link, and N. J. Halas, “Nano-optics from sensing to waveguiding,” Nat. Photonics 1(11), 641–648 (2007).
[CrossRef]

H. A. Atwater, “The promise of plasmonics,” Sci. Am. 296(4), 56–63 (2007).
[CrossRef] [PubMed]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

2006

A.-S. Grimault, A. Vial, and M. Lamy de la Chapelle, “Modeling of regular gold nanostructures arrays for SERS applications using a 3D FDTD method,” Appl. Phys. B 84(1-2), 111–115 (2006).
[CrossRef]

K. A. Willets and R. P. Van Duyne, “Localized surface plasmon resonance spectroscopy and sensing,” Annu. Rev. Phys. Chem. 58, 267–297 (2006).
[PubMed]

2004

N. K. Grady, N. J. Halas, and P. Nordlander, “Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles,” Chem. Phys. Lett. 399(1-3), 167–171 (2004).
[CrossRef]

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

2003

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

2001

M. Osawa, “Surface-enhanced infrared absorption,” Top. Appl. Phys. 81, 163–187 (2001).

1999

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

1997

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

S. Nie and S. R. Emory, “Probing single molecules and single nanoparticles by surface-enhanced Raman scattering,” Science 275, 1102–1106 (1997).
[PubMed]

1984

H. M. van Driel, “Optical effective mass of high density carriers in silicon,” Appl. Phys. Lett. 44(6), 617 (1984).
[CrossRef]

Adato, R.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Aieta, F.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

Aizpurua, J.

M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).

G. W. Bryant, F. J. García de Abajo, and J. Aizpurua, “Mapping the plasmon resonances of metallic nanoantennas,” Nano Lett. 8(2), 631–636 (2008).
[CrossRef] [PubMed]

Altug, H.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Alvarez, M. M.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Amsden, J. J.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Arrighini, G. P.

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

Atwater, H. A.

H. A. Atwater, “The promise of plasmonics,” Sci. Am. 296(4), 56–63 (2007).
[CrossRef] [PubMed]

Bankson, J. A.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Belkin, M. A.

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Blanchard, R.

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

Boreman, G.

Bour, D.

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Bruzzone, S.

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

Bryant, G.

M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).

Bryant, G. W.

G. W. Bryant, F. J. García de Abajo, and J. Aizpurua, “Mapping the plasmon resonances of metallic nanoantennas,” Nano Lett. 8(2), 631–636 (2008).
[CrossRef] [PubMed]

Capasso, F.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

N. Yu and F. Capasso, “Wavefront engineering for mid-infrared and terahertz quantum cascade lasers,” J. Opt. Soc. Am. B 27(11), B18 (2010).
[CrossRef]

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Coronado, E.

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

Corzine, S.

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Crozier, K. B.

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Cubukcu, E.

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Diehl, L.

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Emory, S. R.

S. Nie and S. R. Emory, “Probing single molecules and single nanoparticles by surface-enhanced Raman scattering,” Science 275, 1102–1106 (1997).
[PubMed]

Erramilli, S.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Fleischhauer, M.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Gaburro, Z.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

García de Abajo, F. J.

G. W. Bryant, F. J. García de Abajo, and J. Aizpurua, “Mapping the plasmon resonances of metallic nanoantennas,” Nano Lett. 8(2), 631–636 (2008).
[CrossRef] [PubMed]

Gatzogiannis, E.

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

Genevet, P.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

Giessen, H.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Ginn, J.

Grady, N. K.

N. K. Grady, N. J. Halas, and P. Nordlander, “Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles,” Chem. Phys. Lett. 399(1-3), 167–171 (2004).
[CrossRef]

Grimault, A.-S.

A.-S. Grimault, A. Vial, and M. Lamy de la Chapelle, “Modeling of regular gold nanostructures arrays for SERS applications using a 3D FDTD method,” Appl. Phys. B 84(1-2), 111–115 (2006).
[CrossRef]

Guidotti, C.

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

Halas, N. J.

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

S. Lal, S. Link, and N. J. Halas, “Nano-optics from sensing to waveguiding,” Nat. Photonics 1(11), 641–648 (2007).
[CrossRef]

N. K. Grady, N. J. Halas, and P. Nordlander, “Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles,” Chem. Phys. Lett. 399(1-3), 167–171 (2004).
[CrossRef]

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

Hale, G. D.

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

Hazle, J. D.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Hirsch, L. R.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Hofler, G.

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Hofmann, H. F.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics 4(5), 312–315 (2010).
[CrossRef]

Hong, M. K.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Jackson, J. B.

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

Kadoya, Y.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics 4(5), 312–315 (2010).
[CrossRef]

Kaplan, D. L.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Kästel, J.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Kats, M. A.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

Kelly, K. L.

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

Khoury, J. T.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Knight, M. W.

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

Kosako, T.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics 4(5), 312–315 (2010).
[CrossRef]

Krenz, P.

Lail, B.

Lal, S.

S. Lal, S. Link, and N. J. Halas, “Nano-optics from sensing to waveguiding,” Nat. Photonics 1(11), 641–648 (2007).
[CrossRef]

Lamy de la Chapelle, M.

A.-S. Grimault, A. Vial, and M. Lamy de la Chapelle, “Modeling of regular gold nanostructures arrays for SERS applications using a 3D FDTD method,” Appl. Phys. B 84(1-2), 111–115 (2006).
[CrossRef]

Langguth, L.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Lee, L. P.

Link, S.

S. Lal, S. Link, and N. J. Halas, “Nano-optics from sensing to waveguiding,” Nat. Photonics 1(11), 641–648 (2007).
[CrossRef]

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

Liu, N.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Malvaldi, M.

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

Nie, S.

S. Nie and S. R. Emory, “Probing single molecules and single nanoparticles by surface-enhanced Raman scattering,” Science 275, 1102–1106 (1997).
[PubMed]

Nordlander, P.

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

J. Zuloaga and P. Nordlander, “On the energy shift between near-field and far-field peak intensities in localized plasmon systems,” Nano Lett. 11(3), 1280–1283 (2011).
[CrossRef] [PubMed]

N. K. Grady, N. J. Halas, and P. Nordlander, “Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles,” Chem. Phys. Lett. 399(1-3), 167–171 (2004).
[CrossRef]

Novotny, L.

L. Novotny and N. van Hulst, “Antennas for light,” Nat. Photonics 5, 83–90 (2011).

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

Oldenburg, S. J.

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

Omenetto, F. G.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Osawa, M.

M. Osawa, “Surface-enhanced infrared absorption,” Top. Appl. Phys. 81, 163–187 (2001).

Pelton, M.

M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).

Pfau, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Price, R. E.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Quidant, R.

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

Renger, J.

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

Rivera, B.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Ross, B. M.

Schaaff, T. G.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Schatz, G. C.

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

Scully, M. O.

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

Sershen, S. R.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Shafigullin, M. N.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Shelton, D.

Smythe, E. J.

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

Sobhani, H.

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

Stafford, R. J.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Tetienne, J. P.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

van Driel, H. M.

H. M. van Driel, “Optical effective mass of high density carriers in silicon,” Appl. Phys. Lett. 44(6), 617 (1984).
[CrossRef]

Van Duyne, R. P.

K. A. Willets and R. P. Van Duyne, “Localized surface plasmon resonance spectroscopy and sensing,” Annu. Rev. Phys. Chem. 58, 267–297 (2006).
[PubMed]

van Hulst, N.

L. Novotny and N. van Hulst, “Antennas for light,” Nat. Photonics 5, 83–90 (2011).

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

Vezmar, I.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Vial, A.

A.-S. Grimault, A. Vial, and M. Lamy de la Chapelle, “Modeling of regular gold nanostructures arrays for SERS applications using a 3D FDTD method,” Appl. Phys. B 84(1-2), 111–115 (2006).
[CrossRef]

Wang, Y.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

Weiss, T.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

West, J. L.

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Whetten, R. L.

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

Willets, K. A.

K. A. Willets and R. P. Van Duyne, “Localized surface plasmon resonance spectroscopy and sensing,” Annu. Rev. Phys. Chem. 58, 267–297 (2006).
[PubMed]

Yanik, A. A.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

Yu, N.

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

N. Yu and F. Capasso, “Wavefront engineering for mid-infrared and terahertz quantum cascade lasers,” J. Opt. Soc. Am. B 27(11), B18 (2010).
[CrossRef]

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

Zhang, S.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

Zhang, X.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

Zhao, L. L.

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

Zuloaga, J.

J. Zuloaga and P. Nordlander, “On the energy shift between near-field and far-field peak intensities in localized plasmon systems,” Nano Lett. 11(3), 1280–1283 (2011).
[CrossRef] [PubMed]

Annu. Rev. Phys. Chem.

K. A. Willets and R. P. Van Duyne, “Localized surface plasmon resonance spectroscopy and sensing,” Annu. Rev. Phys. Chem. 58, 267–297 (2006).
[PubMed]

Appl. Phys. B

A.-S. Grimault, A. Vial, and M. Lamy de la Chapelle, “Modeling of regular gold nanostructures arrays for SERS applications using a 3D FDTD method,” Appl. Phys. B 84(1-2), 111–115 (2006).
[CrossRef]

Appl. Phys. Lett.

N. Yu, E. Cubukcu, L. Diehl, M. A. Belkin, K. B. Crozier, F. Capasso, D. Bour, S. Corzine, and G. Hofler, “Plasmonic quantum cascade laser antenna,” Appl. Phys. Lett. 91(17), 173113 (2007).
[CrossRef]

H. M. van Driel, “Optical effective mass of high density carriers in silicon,” Appl. Phys. Lett. 44(6), 617 (1984).
[CrossRef]

S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, “Light scattering from dipole and quadrupole nanoshell antennas,” Appl. Phys. Lett. 75(8), 1063 (1999).
[CrossRef]

Chem. Phys. Lett.

N. K. Grady, N. J. Halas, and P. Nordlander, “Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles,” Chem. Phys. Lett. 399(1-3), 167–171 (2004).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

E. Cubukcu, N. Yu, E. J. Smythe, L. Diehl, K. B. Crozier, and F. Capasso, “Plasmonic laser antennas and related devices,” IEEE J. Sel. Top. Quantum Electron. 14(6), 1448–1461 (2008).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys. Chem. B

S. Bruzzone, M. Malvaldi, G. P. Arrighini, and C. Guidotti, “Light scattering by gold nanoparticles: role of simple dielectric models,” J. Phys. Chem. B 108(30), 10853–10858 (2004).
[CrossRef]

M. M. Alvarez, J. T. Khoury, T. G. Schaaff, M. N. Shafigullin, I. Vezmar, and R. L. Whetten, “Optical absorption spectra of nanocrystal gold molecules,” J. Phys. Chem. B 101(19), 3706–3712 (1997).
[CrossRef]

K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, “The optical properties of metal nanoparticles: the influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107(3), 668–677 (2003).
[CrossRef]

Laser Photonics Rev.

M. Pelton, J. Aizpurua, and G. Bryant, “Metal-nanoparticle plasmonics,” Laser Photonics Rev. 2, 3 (2008).

Nano Lett.

P. Genevet, J. P. Tetienne, E. Gatzogiannis, R. Blanchard, M. A. Kats, M. O. Scully, and F. Capasso, “Large enhancement of nonlinear optical phenomena by plasmonic nanocavity gratings,” Nano Lett. 10(12), 4880–4883 (2010).
[CrossRef] [PubMed]

G. W. Bryant, F. J. García de Abajo, and J. Aizpurua, “Mapping the plasmon resonances of metallic nanoantennas,” Nano Lett. 8(2), 631–636 (2008).
[CrossRef] [PubMed]

J. Zuloaga and P. Nordlander, “On the energy shift between near-field and far-field peak intensities in localized plasmon systems,” Nano Lett. 11(3), 1280–1283 (2011).
[CrossRef] [PubMed]

Nat. Mater.

N. Liu, L. Langguth, T. Weiss, J. Kästel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8(9), 758–762 (2009).
[CrossRef] [PubMed]

Nat. Photonics

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics 4(5), 312–315 (2010).
[CrossRef]

L. Novotny and N. van Hulst, “Antennas for light,” Nat. Photonics 5, 83–90 (2011).

S. Lal, S. Link, and N. J. Halas, “Nano-optics from sensing to waveguiding,” Nat. Photonics 1(11), 641–648 (2007).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[CrossRef] [PubMed]

J. Renger, R. Quidant, N. van Hulst, and L. Novotny, “Surface-enhanced nonlinear four-wave mixing,” Phys. Rev. Lett. 104(4), 046803 (2010).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. U.S.A.

R. Adato, A. A. Yanik, J. J. Amsden, D. L. Kaplan, F. G. Omenetto, M. K. Hong, S. Erramilli, and H. Altug, “Ultra-sensitive vibrational spectroscopy of protein monolayers with plasmonic nanoantenna arrays,” Proc. Natl. Acad. Sci. U.S.A. 106, 46 (2009).

L. R. Hirsch, R. J. Stafford, J. A. Bankson, S. R. Sershen, B. Rivera, R. E. Price, J. D. Hazle, N. J. Halas, and J. L. West, “Nanoshell-mediated near-infrared thermal therapy of tumors under magnetic resonance guidance,” Proc. Natl. Acad. Sci. U.S.A. 100, 23 (2003).

Sci. Am.

H. A. Atwater, “The promise of plasmonics,” Sci. Am. 296(4), 56–63 (2007).
[CrossRef] [PubMed]

Science

S. Nie and S. R. Emory, “Probing single molecules and single nanoparticles by surface-enhanced Raman scattering,” Science 275, 1102–1106 (1997).
[PubMed]

M. W. Knight, H. Sobhani, P. Nordlander, and N. J. Halas, “Photodetection with active optical antennas,” Science 332(6030), 702–704 (2011).
[CrossRef] [PubMed]

Science Express

N. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, “Light propagation with phase discontinuities: generalized laws of reflection and refraction,” Science Express 10, 1210713 (2011).

Top. Appl. Phys.

M. Osawa, “Surface-enhanced infrared absorption,” Top. Appl. Phys. 81, 163–187 (2001).

Other

S. A. Maier, Plasmonics: fundamentals and applications (Springer-Verlag, New York, 2007)

D. J. Griffiths, Introduction to Electrodynamics, 3rd ed. (Benjamin Cummings, 1999)

W. Heitler, The Quantum Theory of Radiation, 3rd ed. (Oxford Univ. Press, London, 1954)

Our FDTD simulations were performed with Lumerical FDTD Solutions 6.5.

E. D. Palik, Handbook of Optical Constants of Solids Vol. 3, (Academic Press, 1997)

N. W. Ashcroft and N. D. Mermin, Solid State Physics (Thomson, 1976).

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Figures (2)

Fig. 1
Fig. 1

(a) Representation of an optical antenna in oscillator form, where q is the charge, m is the inertial mass, and x(t) is the displacement from the equilibrium position. (b) Schematic of a gold optical antenna (length L = 1µm, height h = 50nm, width w = 130nm) on a silicon substrate, illuminated by a normally incident plane wave polarized along the antenna axis. The cross represents the point ~4 nm away from the antenna edge where the near-field is calculated. (c) Scattering and absorption cross-sections as calculated via FDTD (dashed lines) and the model (solid lines). (d) Near-field intensity enhancement calculated by the model (solid line) and via FDTD (dashed line) at the location identified by the cross, with the incident field subtracted off. (e) Oscillator phase (which also represents the phase of the near-field).

Fig. 2
Fig. 2

Peak wavelengths of the near-field (red), absorption (black), and scattering (blue) of linear antennas (w = 130nm, h = 50nm, gold) of various lengths sitting on (solid lines) and embedded in (dashed lines) a silicon substrate

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

m d 2 x d t 2 + Γ a dx dt +κx=q E 0 e iωt + Γ s d 3 x d t 3
x(ω,t)= (q/m ) E 0 ( ω 0 2 ω 2 )+i ω m ( Γ a + ω 2 Γ s ) e iωt = x 0 (ω) e iωt
P abs (ω)= ω 2 Γ a | x 0 (ω) | 2 P scat (ω)= ω 4 Γ s | x 0 (ω) | 2
| x 0 (ω) | 2 = ( q/ m) 2 E 0 2 ( ω 0 2 ω 2 ) 2 + ω 2 m 2 ( Γ a + ω 2 Γ s ) 2 .

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