Abstract

Under certain conditions of the incident light polarization direction a Fano resonance arises in small gold nanorods arranged in a H-like configuration. This stems from the coupling between a bright dipole plasmon mode excited in the horizontal rod and dark quadrupole plasmon modes in both vertical rods. We investigate these surface plasmon modes, and analyze the dependence of the Fano resonance on the geometry parameters such as rod size and interparticle separation, and refractive index of embedding medium. To describe the degree of this energy transfer, we introduce a new parameter: the Fano resonance efficiency. We calculate absorption cross-sections for visible and NIR spectrum in each element of the structure, and near-field distributions at different wavelengths. We show that Fano resonance in small H-like structures exhibits high sensitivity with respect to the refractive index of the host medium, outperforming the values for larger plasmonic structures based on nanorods already investigated.

© 2014 Optical Society of America

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    [Crossref]
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  29. A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
    [Crossref] [PubMed]
  30. G. Baffou and R. Quidant, “Thermo-plasmonics: using metallic nanostructures as nano-sources of heat,” Laser Photon. Rev. 7, 171–187 (2012).
    [Crossref]

2014 (2)

Z.-J. Yang, Z.-H. Hao, H.-Q. Lin, and Q.-Q. Wang, “Plasmonic Fano resonances in metallic nanorod complexes,” Nanoscale 6, 4985–4997 (2014).
[Crossref] [PubMed]

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

2013 (2)

2012 (3)

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

G. Baffou and R. Quidant, “Thermo-plasmonics: using metallic nanostructures as nano-sources of heat,” Laser Photon. Rev. 7, 171–187 (2012).
[Crossref]

2011 (4)

2010 (3)

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

2009 (2)

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, 758–762 (2009).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

2008 (1)

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

2007 (1)

B. N. Khlebtsov, A. Melnikov, and N. G. Khlebtsov, “On the extinction multipole plasmons in gold nanorods,” J. Quant. Spectrosc. Radiat. Transfer 107(2), 306–314 (2007).
[Crossref]

2006 (2)

P. K. Jain, S. Eustis, and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: Optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B 110, 18243–18253 (2006).
[Crossref] [PubMed]

Y. S. Joe, A. M. Satanin, and C. S. Kim, “Classical analogy of Fano resonances,” Phys. Scr. 74, 259 (2006).
[Crossref]

2005 (1)

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

2003 (2)

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

1972 (1)

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370 (1972).
[Crossref]

Aussenegg, F. R.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Baffou, G.

G. Baffou and R. Quidant, “Thermo-plasmonics: using metallic nanostructures as nano-sources of heat,” Laser Photon. Rev. 7, 171–187 (2012).
[Crossref]

Binfeng, Y.

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Boreman, G.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Chang, S.-H.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Chang, W.-S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

Chong, C. T.

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370 (1972).
[Crossref]

Ditlbacher, H.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

Dorpe, P. V.

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Eigenthaler, U.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

El-Sayed, M. A.

P. K. Jain, S. Eustis, and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: Optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B 110, 18243–18253 (2006).
[Crossref] [PubMed]

Eustis, S.

P. K. Jain, S. Eustis, and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: Optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B 110, 18243–18253 (2006).
[Crossref] [PubMed]

Fan, Z.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

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, 758–762 (2009).
[Crossref] [PubMed]

Fu, Y. H.

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

L. Niu, J. B. Zhang, Y. H. Fu, S. Kulkarni, and B. Luky’anchuk, “Fano resonance in dual-disk ring plasmonic nanostructures,” Opt. Express 19(23), 22974–22981 (2011).
[Crossref] [PubMed]

Gallinet, B.

Genov, D. A.

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

Giessen, H.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

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, 758–762 (2009).
[Crossref] [PubMed]

Govorov, A. O.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Guo, H.

Guohua, H.

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

Halas, N. J.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Hao, F.

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Hao, Z.-H.

Hirscher, M.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

Högele, A.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Hohenau, A.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Jain, P. K.

P. K. Jain, S. Eustis, and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: Optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B 110, 18243–18253 (2006).
[Crossref] [PubMed]

Jiawei, C.

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

Joe, Y. S.

Y. S. Joe, A. M. Satanin, and C. S. Kim, “Classical analogy of Fano resonances,” Phys. Scr. 74, 259 (2006).
[Crossref]

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370 (1972).
[Crossref]

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, 758–762 (2009).
[Crossref] [PubMed]

Khlebtsov, B. N.

B. N. Khlebtsov, A. Melnikov, and N. G. Khlebtsov, “On the extinction multipole plasmons in gold nanorods,” J. Quant. Spectrosc. Radiat. Transfer 107(2), 306–314 (2007).
[Crossref]

Khlebtsov, N. G.

B. N. Khlebtsov, A. Melnikov, and N. G. Khlebtsov, “On the extinction multipole plasmons in gold nanorods,” J. Quant. Spectrosc. Radiat. Transfer 107(2), 306–314 (2007).
[Crossref]

Kim, C. S.

Y. S. Joe, A. M. Satanin, and C. S. Kim, “Classical analogy of Fano resonances,” Phys. Scr. 74, 259 (2006).
[Crossref]

Klimov, V.

V. Klimov, Nanoplasmonics (Pan Stanford, 2014).

Kreibig, U.

U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer, 1995).
[Crossref]

Krenn, J. R.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Kulkarni, S.

Kuzyk, A.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Lal, S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

Landau, L.

L. Landau, E. Lifshitz, and L. Pitaevskii, Electrodynamics of Continuous Media, Course of Theoretical Physics, 2nd ed. (Butterworth-Heinemann, 1984), Vol. 8.

Langguth, L.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

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, 758–762 (2009).
[Crossref] [PubMed]

Leitner, A.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Li, J.

Li, Q.-Q.

Li, Z.-Y.

Liedl, T.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Lifshitz, E.

L. Landau, E. Lifshitz, and L. Pitaevskii, Electrodynamics of Continuous Media, Course of Theoretical Physics, 2nd ed. (Butterworth-Heinemann, 1984), Vol. 8.

Lin, H.-Q.

Z.-J. Yang, Z.-H. Hao, H.-Q. Lin, and Q.-Q. Wang, “Plasmonic Fano resonances in metallic nanorod complexes,” Nanoscale 6, 4985–4997 (2014).
[Crossref] [PubMed]

Link, S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

Liu, H.

Liu, M.

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

Liu, N.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

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, 758–762 (2009).
[Crossref] [PubMed]

Luk’yanchuk, B.

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Luky’anchuk, B.

Maier, S. A.

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Martin, O. J. F.

Melnikov, A.

B. N. Khlebtsov, A. Melnikov, and N. G. Khlebtsov, “On the extinction multipole plasmons in gold nanorods,” J. Quant. Spectrosc. Radiat. Transfer 107(2), 306–314 (2007).
[Crossref]

Mesch, M.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

Monacelli, B.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Moshchalkov, V. V.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Niu, L.

Nordlander, P.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Pardatscher, G.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

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, 758–762 (2009).
[Crossref] [PubMed]

Pitaevskii, L.

L. Landau, E. Lifshitz, and L. Pitaevskii, Electrodynamics of Continuous Media, Course of Theoretical Physics, 2nd ed. (Butterworth-Heinemann, 1984), Vol. 8.

Puscasu, I.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Quidant, R.

G. Baffou and R. Quidant, “Thermo-plasmonics: using metallic nanostructures as nano-sources of heat,” Laser Photon. Rev. 7, 171–187 (2012).
[Crossref]

Roller, E.-M.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Satanin, A. M.

Y. S. Joe, A. M. Satanin, and C. S. Kim, “Classical analogy of Fano resonances,” Phys. Scr. 74, 259 (2006).
[Crossref]

Schaich, W. L.

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

Schatz, G. C.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Schider, G.

W. L. Schaich, G. Schider, J. R. Krenn, A. Leitner, F. R. Aussenegg, I. Puscasu, B. Monacelli, and G. Boreman, “Optical resonances in periodic surface arrays of metallic patches,” Appl. Opt. 42(28), 5714–5721 (2003).
[Crossref] [PubMed]

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

Schreiber, R.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Sherry, L. J.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Simmel, F. C.

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Sobhani, H.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Sonnefraud, Y.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Sönnichsen, C.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

Van Dorpe, P.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

Vandenbosch, G. A.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

Van-Duyne, R. P.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Verellen, N.

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

Vollmer, M.

U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer, 1995).
[Crossref]

Wang, Q.-Q.

Wang, Y.

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

Weiss, T.

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

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, 758–762 (2009).
[Crossref] [PubMed]

Wiley, B. J.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Xia, Y.

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Xiao, J. J.

Yang, Z.-J.

Yao, Y.

Yiping, C.

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

Yu, Y. F.

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

Zhang, J. B.

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

L. Niu, J. B. Zhang, Y. H. Fu, S. Kulkarni, and B. Luky’anchuk, “Fano resonance in dual-disk ring plasmonic nanostructures,” Opt. Express 19(23), 22974–22981 (2011).
[Crossref] [PubMed]

Zhang, L.-H.

Zhang, Q.

Zhang, S.

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

Zhang, X. M.

Zhang, Z.-S.

Zheludev, N. I.

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

ACS Nano (2)

Y. Sonnefraud, N. Verellen, H. Sobhani, G. A. Vandenbosch, V. V. Moshchalkov, P. Van Dorpe, P. Nordlander, and S. A. Maier, “Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities,” ACS Nano 4(3), 1664–1670 (2010).
[Crossref] [PubMed]

Y. H. Fu, J. B. Zhang, Y. F. Yu, and B. Luk’yanchuk, “Generating and manipulating higher order Fano resonances in dual-disk ring plasmonic nanostructures,” ACS Nano 6, 5130–5137 (2012).
[Crossref] [PubMed]

Appl. Opt. (1)

Chem. Rev. (1)

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev. 111, 3913–3961 (2011).
[Crossref] [PubMed]

J. Phys. Chem. B (1)

P. K. Jain, S. Eustis, and M. A. El-Sayed, “Plasmon coupling in nanorod assemblies: Optical absorption, discrete dipole approximation simulation, and exciton-coupling model,” J. Phys. Chem. B 110, 18243–18253 (2006).
[Crossref] [PubMed]

J. Quant. Spectrosc. Radiat. Transfer (1)

B. N. Khlebtsov, A. Melnikov, and N. G. Khlebtsov, “On the extinction multipole plasmons in gold nanorods,” J. Quant. Spectrosc. Radiat. Transfer 107(2), 306–314 (2007).
[Crossref]

Laser Photon. Rev. (1)

G. Baffou and R. Quidant, “Thermo-plasmonics: using metallic nanostructures as nano-sources of heat,” Laser Photon. Rev. 7, 171–187 (2012).
[Crossref]

Nano Lett. (3)

N. Liu, T. Weiss, M. Mesch, L. Langguth, U. Eigenthaler, M. Hirscher, C. Sönnichsen, and H. Giessen, “Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing,” Nano Lett. 10(4), 1103–1107 (2010).
[Crossref]

N. Verellen, Y. Sonnefraud, H. Sobhani, F. Hao, V. V. Moshchalkov, P. V. Dorpe, P. Nordlander, and S. A. Maier, “Fano resonances in individual coherent plasmonic nanocavities,” Nano Lett. 9(4), 1663–1667 (2009).
[Crossref] [PubMed]

L. J. Sherry, S.-H. Chang, G. C. Schatz, R. P. Van-Duyne, B. J. Wiley, and Y. Xia, “Localized surface plasmon resonance spectroscopy of single silver nanocubes,” Nano Lett. 5(10), 2034–2038 (2005).
[Crossref] [PubMed]

Nanoscale (1)

Z.-J. Yang, Z.-H. Hao, H.-Q. Lin, and Q.-Q. Wang, “Plasmonic Fano resonances in metallic nanorod complexes,” Nanoscale 6, 4985–4997 (2014).
[Crossref] [PubMed]

Nat. Mater. (2)

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, 758–762 (2009).
[Crossref] [PubMed]

B. Luk’yanchuk, N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, “The Fano resonance in plasmonic nanostructures and metamaterials,” Nat. Mater. 9, 707–715 (2010).
[Crossref]

Nature (1)

A. Kuzyk, R. Schreiber, Z. Fan, G. Pardatscher, E.-M. Roller, A. Högele, F. C. Simmel, A. O. Govorov, and T. Liedl, “DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response,” Nature 483, 311–314 (2012).
[Crossref] [PubMed]

Opt. Express (3)

Opt. Lett. (1)

Photon. Res. (1)

Phys. Rev. B (2)

G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher, A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu, B. Monacelli, and G. Boreman, “Plasmon dispersion relation of Au and Ag nanowires,” Phys. Rev. B 68, 155427 (2003).
[Crossref]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370 (1972).
[Crossref]

Phys. Rev. Lett. (1)

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

Phys. Scr. (1)

Y. S. Joe, A. M. Satanin, and C. S. Kim, “Classical analogy of Fano resonances,” Phys. Scr. 74, 259 (2006).
[Crossref]

Plasmonics (1)

Y. Binfeng, H. Guohua, C. Jiawei, and C. Yiping, “Fano resonances induced by strong interactions between dipole and multipole plasmons in T-shaped nanorod dimer,” Plasmonics 9, 691–698 (2014).
[Crossref]

Other (6)

M. R. Gonçalves, A. Melikyan, H. Minassian, T. Makaryan, and O. Marti, “Dipole-quadrupole plasmon coupling and Fano resonance in nanorods of T-like configuration,” http://benasque.org/2014nanolight/posters/ , Nanolight 2014, Benasque, Spain (2014).

Mr. R. Gonçalves, T. Makaryan, H. Minassian, A. Melikyan, and O. Marti, “Fano resonances in T-like configured nanospheroids,” http://www.dpg-verhandlungen.de/year/2014/conference/dresden/part/o/session/98?lang=en , DPG Spring Meeting 2014, Dresden, Germany.

U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer, 1995).
[Crossref]

L. Landau, E. Lifshitz, and L. Pitaevskii, Electrodynamics of Continuous Media, Course of Theoretical Physics, 2nd ed. (Butterworth-Heinemann, 1984), Vol. 8.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

V. Klimov, Nanoplasmonics (Pan Stanford, 2014).

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Figures (8)

Fig. 1
Fig. 1 Dependence of the resonance of ℜ[ε] on the aspect ratio of an Au spheroid for longitudinal dipole (a) and quadrupole (b) oscillations.
Fig. 2
Fig. 2 Schematics of the charge distribution in a H-like configuration of nanorods. Under the excitation field depicted, a dipole mode is excited in the horizontal rod and causes quadrupole oscillations in the vertical rods.
Fig. 3
Fig. 3 Arrangement of five point dipoles for the electric field polarized in the horizontal direction (x-axis).
Fig. 4
Fig. 4 Dependence of the absorbed power on the wavelength for the particle configuration of Fig. 3. N1(ω) in horizontal spheroid (blue curve), 4 × N2(ω) corresponding to the absorbed power in all four vertical spheroids (green curve) and Ntot (ω) in all five spheroids (red curve). The black curve corresponds to the absorbed power in the horizontal spheroid considered as isolated. The calculation was done for 5 identical prolate spheroids of semi-axis a = 20 nm, b = c = 10 nm. The vertical spheroids are at the corners of a square with edge length S = R 32 = 65 2 nm. The spheroid 1 is in the center of the square. The di-electric constant of the medium is εm = 1.69. The depolarization ratio along the prolate spheroid symmetry axis L1 was calculated according to the formula given in the books of Bohren and Huffman and Landau et al [27, 28].
Fig. 5
Fig. 5 Absorption cross-sections in horizontal rod (blue curves), both vertical rods (green curves) and full H-like structure (red curves) embedded in medium if refractive index n = 1.5. The length of vertical rods is 40 nm (a) and 35 nm (b), respectively. The length of horizontal rod l is 13, 15 and 18 nm in the upper, intermediate and lower rows of the figure, respectively. The radius of each rod is 2.5 nm. The incident electric field is polarized along the horizontal rod. All cross-sections were obtained from FEM simulations.
Fig. 6
Fig. 6 Near-field distribution in Au nanorods of the H-like configuration. Radius of the rods: 2.5 nm. Length of the vertical rods: 35 nm. Length of the horizontal rod: 13 nm. Gap between rods: 2 nm. Refractive index of the medium: n = 1.5. The incident field is a plane wave polarized parallel to the horizontal rod and propagation direction normal to the plane of the figure. The figures present the spatial distribution of electric field normalized to the amplitude of the incident field at the wavelength of the transverse dipole mode (a), horizontal dipole mode (b), Fano resonance (c), and vertical rods quadrupole mode (d), respectively.
Fig. 7
Fig. 7 Absorption cross-sections in horizontal rod (blue curves), vertical rods (green curves) and full H-like structure (red curves) embedded in medium of refractive index n = 1.4. The length of vertical rods is 40 nm (a) and 35 nm (b), respectively. The length of horizontal rod l is 13, 15 and 18 nm in the upper, intermediate and lower rows of the figure, respectively. The radius of each rod is 2.5 nm. The incident electric field is polarized along the horizontal rod. All cross-sections were obtained from FEM simulations.
Fig. 8
Fig. 8 SP peak energy for the quadrupole mode vs. the refractive index of the surrounding medium in a H-like structure with rod lengths l = 18 nm and h = 40 nm, respectively.

Equations (8)

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{ [ ε ( ω dip ) ] = ε m P 1 ( ξ ) [ d Q 1 ( ξ ) d ξ ] Q 1 ( ξ ) [ d P 1 ( ξ ) ξ ] [ ε ( ω quad ) ] = ε m P 2 ( ξ ) [ d Q 2 ( ξ ) d ξ ] Q 2 ( ξ ) [ d P 2 ( ξ ) d ξ ] .
α ( ω ) = ε ( ω ) ε m ε m + L i [ ε ( ω ) ε m ] V ,
E i j = 3 n i j ( n i j p i ) p i R i j 3 ,
{ p 1 = α ( 2 E 21 x + 2 E 31 x + E 0 ) p 2 = α ( E 12 y + E 32 y + E 52 y ) ,
{ p 1 = α 1 + α R 32 2 1 + α R 32 3 9 α 2 R 21 6 E 0 p 2 = 3 2 R 21 3 α 2 1 + α R 32 3 9 α 2 R 21 6 E 0 .
{ N 1 ( ω ) = 1 2 ω ( α ) | 6 p 2 R 21 3 + E 0 | 2 N 2 ( ω ) = 1 2 ω ( α ) | 3 2 p 1 R 21 3 p 2 R 32 3 | 2 N tot ( ω ) = 1 2 ω ( α ) | 6 p 2 R 21 3 + E 0 | 2 + 2 ω ( α ) | 3 2 p 1 R 21 3 p 2 R 32 3 | 2 .
ε ( ω ) = ε ω p 2 ω ( ω + i γ ) ,
η = total power absorbed in vertical rods power absorbed in horizontal rod .

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