Abstract

In this work, we demonstrate computationally that electric dipole-quadrupole hybridization (EDQH) could be utilized to enhance plasmonic SHG efficiency. To this end, we construct T-shaped plasmonic heterodimers consisting of a short and a long gold nanorod with finite element method simulation. By controlling the strength of capacitive coupling between two gold nanorods, we explore the effect of EDQH evolution on the SHG process, including the SHG efficiency enhancement, corresponding near-field distribution, and far-field radiation pattern. Simulation results demonstrate that EDQH could enhance the SHG efficiency by a factor >100 in comparison with that achieved by an isolated gold nanorod. Additionally, the far-field pattern of the SHG could be adjusted beyond the well-known quadrupolar distribution and confirms that EDQH plays an important role in the SHG process.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2017 (15)

Y. Wen and J. Zhou, “Artificial nonlinearity generated from electromagnetic coupling metamolecule,” Phys. Rev. Lett. 118(16), 167401 (2017).
[Crossref] [PubMed]

M. B. Lien, J. Y. Kim, M. G. Han, Y. C. Chang, Y. C. Chang, H. J. Ferguson, Y. Zhu, A. A. Herzing, J. C. Schotland, N. A. Kotov, and T. B. Norris, “Optical asymmetry and nonlinear light scattering from colloidal gold nanorods,” ACS Nano 11(6), 5925–5932 (2017).
[Crossref] [PubMed]

K. Y. Yang, J. Butet, C. Yan, G. D. Bernasconi, and O. J. F. Martin, “Enhancement mechanisms of second harmonic generation from double resonant aluminum nanostructures,” ACS Photonics 4(6), 1522–1530 (2017).
[Crossref]

D. J. Yang, S. J. Im, G. M. Pan, S. J. Ding, Z. J. Yang, Z. H. Hao, L. Zhou, and Q. Q. Wang, “Magnetic Fano resonance-induced second-harmonic generation enhancement in plasmonic metamolecule rings,” Nanoscale 9(18), 6068–6075 (2017).
[Crossref] [PubMed]

M. F. Limonov, M. V. Rybin, A. N. Poddubny, and Y. S. Kivshar, “Fano resonances in photonics,” Nat. Photonics 11(9), 543–554 (2017).
[Crossref]

D. R. Abujetas, M. A. G. Mandujano, E. R. Mendez, and J. A. Sanchez-Gil, “High-contrast Fano resonances in single semiconductor nanorods,” ACS Photonics 4(7), 1814–1821 (2017).
[Crossref]

A. Gandman, R. Mackin, B. Cohn, I. V. Rubtsov, and L. Chuntonov, “Two-dimensional Fano lineshapes in ultrafast vibrational spectroscopy of thin molecular layers on plasmonic arrays,” J. Phys. Chem. Lett. 8(14), 3341–3346 (2017).
[Crossref] [PubMed]

M. R. C. Mahdy, T. Zhang, M. Danesh, and W. Ding, “Substrate and Fano resonance effects on the reversal of optical binding force between plasmonic cube dimers,” Sci. Rep. 7(1), 6938 (2017).
[Crossref] [PubMed]

F. Shen, N. An, Y. Tao, H. Zhou, Z. Jiang, and Z. Guo, “Anomalous forward scattering of gain-assisted dielectric shell-coated metallic core spherical particles,” Nanophotonics 6(5), 1063–1072 (2017).

Y. Yang, A. E. Miroshnichenko, S. V. Kostinski, M. Odit, P. Kapitanova, M. Qiu, and Y. S. Kivshar, “Multimode directionality in all-dielectric metasurfaces,” Phys. Rev. B 95(16), 165426 (2017).
[Crossref]

P. R. Wiecha, L. J. Black, Y. Wang, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Polarization conversion in plasmonic nanoantennas for metasurfaces using structural asymmetry and mode hybridization,” Sci. Rep. 7, 40906 (2017).
[Crossref] [PubMed]

A. Demetriadou, J. M. Hamm, Y. Luo, J. B. Pendry, J. J. Baumberg, and O. Hess, “Spatiotemporal dynamics and control of strong coupling in plasmonic nanocavities,” ACS Photonics 4(10), 2410–2418 (2017).
[Crossref]

J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
[Crossref]

Z. Li, W. Liu, Z. Li, H. Cheng, S. Chen, and J. Tian, “Fano-resonance-based mode-matching hybrid metasurface for enhanced second-harmonic generation,” Opt. Lett. 42(16), 3117–3120 (2017).
[Crossref] [PubMed]

J. Wang, C. Song, J. Hang, Z. D. Hu, and F. Zhang, “Tunable Fano resonance based on grating-coupled and graphene-based Otto configuration,” Opt. Express 25(20), 23880–23892 (2017).
[Crossref] [PubMed]

2016 (9)

J. Butet, T. V. Raziman, K. Y. Yang, G. D. Bernasconi, and O. J. F. Martin, “Controlling the nonlinear optical properties of plasmonic nanoparticles with the phase of their linear response,” Opt. Express 24(15), 17138–17148 (2016).
[Crossref] [PubMed]

D. Smirnova and Y. S. Kivshar, “Multipolar nonlinear nanophotonics,” Optica 3(11), 1241–1255 (2016).
[Crossref]

J. Fontana, M. Maldonado, N. Charipar, S. A. Trammell, R. Nita, J. Naciri, A. Pique, B. Ratna, and A. S. L. Gomes, “Linear and nonlinear optical characterization of self-assembled, large-area gold nanosphere metasurfaces with sub-nanometer gaps,” Opt. Express 24(24), 27360–27370 (2016).
[Crossref] [PubMed]

G. D. Liu, X. Zhai, L. L. Wang, B. X. Wang, Q. Lin, and X. J. Shang, “Actively tunable Fano resonance based on a T-shaped graphene nanodimer,” Plasmonics 11(2), 381–387 (2016).
[Crossref]

L. Sun, T. Ma, S. C. Yang, D. K. Kim, G. Lee, J. Shi, I. Martinez, G. R. Yi, G. Shvets, and X. Li, “Interplay between optical bianisotropy and magnetism in plasmonic metamolecules,” Nano Lett. 16(7), 4322–4328 (2016).
[Crossref] [PubMed]

S. D. Gennaro, M. Rahmani, V. Giannini, H. Aouani, T. P. H. Sidiropoulos, M. Navarro-Cía, S. A. Maier, and R. F. Oulton, “The interplay of symmetry and scattering phase in second-harmonic generation from gold nanoantennas,” Nano Lett. 16(8), 5278–5285 (2016).
[Crossref] [PubMed]

S. Zhang, G. C. Li, Y. Chen, X. Zhu, S. D. Liu, D. Y. Lei, and H. Duan, “Pronounced Fano resonance in single gold split nanodisks with 15nm split gaps for intensive second harmonic generation,” ACS Nano 10(12), 11105–11114 (2016).
[Crossref] [PubMed]

S. D. Liu, E. S. P. Leong, G. C. Li, Y. Hou, J. Deng, J. H. Teng, H. C. Ong, and D. Y. Lei, “Polarization-independent multiple Fano resonances in plasmonic nonamers for multimode-matching enhanced multiband second-harmonic generation,” ACS Nano 10(1), 1442–1453 (2016).
[Crossref] [PubMed]

K. Guo, J. Liu, K. Zhou, and S. Liu, “Super-resolution imaging of a single metal layer: high loss but superior resolution,” Appl. Phys. B 122(4), 92 (2016).
[Crossref]

2015 (9)

J. Butet, P. F. Brevet, and O. J. F. Martin, “Optical second harmonic generation in plasmonic nanostructures: from fundamental principles to advanced applications,” ACS Nano 9(11), 10545–10562 (2015).
[Crossref] [PubMed]

R. Czaplicki, J. Mäkitalo, R. Siikanen, H. Husu, J. Lehtolahti, M. Kuittinen, and M. Kauranen, “Second-harmonic generation from metal nanoparticles: resonance enhancement versus particle geometry,” Nano Lett. 15(1), 530–534 (2015).
[Crossref] [PubMed]

B. Metzger, L. Gui, J. Fuchs, D. Floess, M. Hentschel, and H. Giessen, “Strong enhancement of second harmonic emission by plasmonic resonances at the second harmonic wavelength,” Nano Lett. 15(6), 3917–3922 (2015).
[Crossref] [PubMed]

S. Kruk, M. Weismann, A. Y. Bykov, E. A. Mamonov, I. A. Kolmychek, T. Murzina, N. C. Panoiu, D. N. Neshev, and Y. S. Kivshar, “Enhanced magnetic second-harmonic generation from resonant metasurces,” ACS Photonics 2(8), 1007–1012 (2015).
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B. Wang and Y. Zhang, “Enhancement of optical magnetic modes by controlling the handedness of symmetry breaking in Fano metamolecules,” IEEE J. Quantum Electron. 51(6), 7300108 (2015).

L. J. Black, P. R. Wiecha, Y. Wang, C. H. de Groot, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Tailoring second-harmonic generation in single L-shaped plasmonic nanoantennas from the capacitive to conductive coupling regime,” ACS Photonics 2(11), 1592–1601 (2015).
[Crossref]

G. Lu, Y. Wang, R. Y. Chou, H. Shen, Y. He, Y. Cheng, and Q. Gong, “Directional side scattering of light by a single plasmonic trimer,” Laser Photonics Rev. 9(5), 530–537 (2015).
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R. Alaee, R. Filter, D. Lehr, F. Lederer, and C. Rockstuhl, “A generalized Kerker condition for highly directive nanoantennas,” Opt. Lett. 40(11), 2645–2648 (2015).
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Q. Liang, Y. Wen, X. Mu, T. Reindl, W. Yu, N. Talebi, and P. A. van Aken, “Investigating hybridization schemes of coupled split-ring resonators by electron impacts,” Opt. Express 23(16), 20721–20731 (2015).
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2014 (7)

X. Ci, B. Wu, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Magnetic-based Fano resonance of hybrid silicon-gold nanocavities in the near-infrared region,” Opt. Express 22(20), 23749–23758 (2014).
[Crossref] [PubMed]

R. Feng, J. Qiu, L. Liu, W. Ding, and L. Chen, “Parallel LC circuit model for multi-band absorption and preliminary design of radiative cooling,” Opt. Express 22(S7Suppl 7), A1713–A1724 (2014).
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S. Raza, N. Stenger, A. Pors, T. Holmgaard, S. Kadkhodazadeh, J. B. Wagner, K. Pedersen, M. Wubs, S. I. Bozhevolnyi, and N. A. Mortensen, “Extremely confined gap surface-plasmon modes excited by electrons,” Nat. Commun. 5(4), 4125 (2014).
[PubMed]

X. Ci, B. Wu, M. Song, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Tunable Fano resonances in heterogenous Al-Ag nanorod dimers,” Appl. Phys., A Mater. Sci. Process. 117(2), 955–960 (2014).
[Crossref]

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(3), 691–698 (2014).
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G. Grinblat, M. Rahmani, E. Cortés, M. Caldarola, D. Comedi, S. A. Maier, and A. V. Bragas, “High-efficiency second harmonic generation from a single hybrid ZnO nanowire/Au plasmonic nano-oligomer,” Nano Lett. 14(11), 6660–6665 (2014).
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M. Lapine, I. V. Shadrivov, and Y. S. Kivshar, “Colloquium: nonlinear metamaterials,” Rev. Mod. Phys. 86(3), 1093–1123 (2014).
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2013 (6)

Z. Xi, Y. Lu, W. Yu, P. Wang, and H. Ming, “Improved sensitivity in a T-shaped nanodimer plasmonic sensor,” J. Opt. 15(2), 025004 (2013).
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A. Lovera, B. Gallinet, P. Nordlander, and O. J. F. Martin, “Mechanisms of Fano resonances in coupled plasmonic systems,” ACS Nano 7(5), 4527–4536 (2013).
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N. W. Bigelow, A. Vaschillo, J. P. Camden, and D. J. Masiello, “Signatures of Fano interferences in the electron energy loss spectroscopy and cathodoluminescence of symmetry-broken nanorod dimers,” ACS Nano 7(5), 4511–4519 (2013).
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G. F. Walsh and L. Dal Negro, “Enhanced second harmonic generation by photonic-plasmonic Fano-type coupling in nanoplasmonic arrays,” Nano Lett. 13(7), 3111–3117 (2013).
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P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
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Q. Zhang, J. J. Xiao, X. M. Zhang, Y. Yao, and H. Liu, “Reversal of optical binding force by Fano resonance in plasmonic nanorod heterodimer,” Opt. Express 21(5), 6601–6608 (2013).
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2012 (9)

K. Guo, J. Liu, Y. Zhang, and S. Liu, “Chromatic aberration of light focusing in hyperbolic anisotropic metamaterial made of metallic slit array,” Opt. Express 20(27), 28586–28593 (2012).
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C. Ciracì, R. T. Hill, J. J. Mock, Y. Urzhumov, A. I. Fernández-Domínguez, S. A. Maier, J. B. Pendry, A. Chilkoti, and D. R. Smith, “Probing the ultimate limits of plasmonic enhancement,” Science 337(6098), 1072–1074 (2012).
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R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nat. Commun. 3(1), 825 (2012).
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D. J. Wu, S. M. Jiang, and X. J. Liu, “Fano-like resonances in asymmetric homodimer of gold elliptical nanowire,” J. Phys. Chem. C 116(25), 13745–13748 (2012).
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W. Ding, B. Luk’yanchuk, and C.-W. Qiu, “Ultrahigh-contrast-ratio silicon Fano diode,” Phys. Rev. A 85(2), 025806 (2012).
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C. Ciraci, E. Poutrina, M. Scalora, and D. R. Smith, “Second-harmonic generation in metallic nanoparticles: clarification of the role of the surface,” Phys. Rev. B 86(11), 115451 (2012).
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B. L. Wang, M. L. Ren, J. F. Li, and Z. Y. Li, “Plasmonic coupling effect between two gold nanospheres for efficient second-harmonic generation,” J. Appl. Phys. 112(8), 083102 (2012).
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C. Ciracì, E. Poutrina, M. Scalora, and D. R. Smith, “Origin of second-harmonic generation enhancement in optical split-ring resonators,” Phys. Rev. B 85(20), 201403 (2012).
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S. Linden, F. B. P. Niesler, J. Förstner, Y. Grynko, T. Meier, and M. Wegener, “Collective effects in second-harmonic generation from split-ring-resonator arrays,” Phys. Rev. Lett. 109(1), 015502 (2012).
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2011 (4)

S. N. Sheikholeslami, A. García-Etxarri, and J. A. Dionne, “Controlling the interplay of electric and magnetic modes via Fano-like plasmon resonances,” Nano Lett. 11(9), 3927–3934 (2011).
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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).
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Z. J. Yang, Z. S. Zhang, L. H. Zhang, Q. Q. Li, Z. H. Hao, and Q. Q. Wang, “Fano resonances in dipole-quadrupole plasmon coupling nanorod dimers,” Opt. Lett. 36(9), 1542–1544 (2011).
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B. Gallinet and O. J. F. Martin, “Relation between near-field and far-field properties of plasmonic Fano resonances,” Opt. Express 19(22), 22167–22175 (2011).
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2010 (2)

G. Sun and J. B. Khurgin, “Comparative study of field enhancement between isolated and coupled metal nanoparticles: An analytical approach,” Appl. Phys. Lett. 97(26), 263110 (2010).
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Z. J. Yang, Z. S. Zhang, W. Zhang, Z. H. Hao, and Q. Q. Wang, “Twinned Fano interferences induced by hybridized plasmons in Au-Ag nanorod heterodimers,” Appl. Phys. Lett. 96(13), 131113 (2010).
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2007 (1)

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local field asymmetry drives second-harmonic generation in non-centrosymmetric nanodimers,” Nano Lett. 7(5), 1251–1255 (2007).
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2006 (1)

M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, “Second-harmonic generation from magnetic metamaterials,” Science 313(5786), 502–504 (2006).
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2005 (1)

N. Engheta, A. Salandrino, and A. Alù, “Circuit elements at optical frequencies: Nanoinductors, nanocapacitors, and nanoresistors,” Phys. Rev. Lett. 95(9), 095504 (2005).
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2003 (1)

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
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1999 (1)

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83(20), 4045–4048 (1999).
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1972 (1)

P. Johnson and R. Christy, “Optical constant of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
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Abujetas, D. R.

D. R. Abujetas, M. A. G. Mandujano, E. R. Mendez, and J. A. Sanchez-Gil, “High-contrast Fano resonances in single semiconductor nanorods,” ACS Photonics 4(7), 1814–1821 (2017).
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Aizpurua, J.

P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
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R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nat. Commun. 3(1), 825 (2012).
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Alaee, R.

Albella, P.

P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
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Alonso-González, P.

P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
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Alù, A.

N. Engheta, A. Salandrino, and A. Alù, “Circuit elements at optical frequencies: Nanoinductors, nanocapacitors, and nanoresistors,” Phys. Rev. Lett. 95(9), 095504 (2005).
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An, N.

F. Shen, N. An, Y. Tao, H. Zhou, Z. Jiang, and Z. Guo, “Anomalous forward scattering of gain-assisted dielectric shell-coated metallic core spherical particles,” Nanophotonics 6(5), 1063–1072 (2017).

Aouani, H.

S. D. Gennaro, M. Rahmani, V. Giannini, H. Aouani, T. P. H. Sidiropoulos, M. Navarro-Cía, S. A. Maier, and R. F. Oulton, “The interplay of symmetry and scattering phase in second-harmonic generation from gold nanoantennas,” Nano Lett. 16(8), 5278–5285 (2016).
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Arbouet, A.

P. R. Wiecha, L. J. Black, Y. Wang, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Polarization conversion in plasmonic nanoantennas for metasurfaces using structural asymmetry and mode hybridization,” Sci. Rep. 7, 40906 (2017).
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L. J. Black, P. R. Wiecha, Y. Wang, C. H. de Groot, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Tailoring second-harmonic generation in single L-shaped plasmonic nanoantennas from the capacitive to conductive coupling regime,” ACS Photonics 2(11), 1592–1601 (2015).
[Crossref]

Bai, B.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local field asymmetry drives second-harmonic generation in non-centrosymmetric nanodimers,” Nano Lett. 7(5), 1251–1255 (2007).
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Baumberg, J. J.

A. Demetriadou, J. M. Hamm, Y. Luo, J. B. Pendry, J. J. Baumberg, and O. Hess, “Spatiotemporal dynamics and control of strong coupling in plasmonic nanocavities,” ACS Photonics 4(10), 2410–2418 (2017).
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Bernasconi, G. D.

J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
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K. Y. Yang, J. Butet, C. Yan, G. D. Bernasconi, and O. J. F. Martin, “Enhancement mechanisms of second harmonic generation from double resonant aluminum nanostructures,” ACS Photonics 4(6), 1522–1530 (2017).
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J. Butet, T. V. Raziman, K. Y. Yang, G. D. Bernasconi, and O. J. F. Martin, “Controlling the nonlinear optical properties of plasmonic nanoparticles with the phase of their linear response,” Opt. Express 24(15), 17138–17148 (2016).
[Crossref] [PubMed]

Bigelow, N. W.

N. W. Bigelow, A. Vaschillo, J. P. Camden, and D. J. Masiello, “Signatures of Fano interferences in the electron energy loss spectroscopy and cathodoluminescence of symmetry-broken nanorod dimers,” ACS Nano 7(5), 4511–4519 (2013).
[Crossref] [PubMed]

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(3), 691–698 (2014).
[Crossref]

Black, L. J.

P. R. Wiecha, L. J. Black, Y. Wang, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Polarization conversion in plasmonic nanoantennas for metasurfaces using structural asymmetry and mode hybridization,” Sci. Rep. 7, 40906 (2017).
[Crossref] [PubMed]

L. J. Black, P. R. Wiecha, Y. Wang, C. H. de Groot, V. Paillard, C. Girard, O. L. Muskens, and A. Arbouet, “Tailoring second-harmonic generation in single L-shaped plasmonic nanoantennas from the capacitive to conductive coupling regime,” ACS Photonics 2(11), 1592–1601 (2015).
[Crossref]

Borisov, A. G.

R. Esteban, A. G. Borisov, P. Nordlander, and J. Aizpurua, “Bridging quantum and classical plasmonics with a quantum-corrected model,” Nat. Commun. 3(1), 825 (2012).
[Crossref] [PubMed]

Bouhelier, A.

J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
[Crossref]

Bozhevolnyi, S. I.

S. Raza, N. Stenger, A. Pors, T. Holmgaard, S. Kadkhodazadeh, J. B. Wagner, K. Pedersen, M. Wubs, S. I. Bozhevolnyi, and N. A. Mortensen, “Extremely confined gap surface-plasmon modes excited by electrons,” Nat. Commun. 5(4), 4125 (2014).
[PubMed]

Bragas, A. V.

G. Grinblat, M. Rahmani, E. Cortés, M. Caldarola, D. Comedi, S. A. Maier, and A. V. Bragas, “High-efficiency second harmonic generation from a single hybrid ZnO nanowire/Au plasmonic nano-oligomer,” Nano Lett. 14(11), 6660–6665 (2014).
[Crossref] [PubMed]

Brevet, P. F.

J. Butet, P. F. Brevet, and O. J. F. Martin, “Optical second harmonic generation in plasmonic nanostructures: from fundamental principles to advanced applications,” ACS Nano 9(11), 10545–10562 (2015).
[Crossref] [PubMed]

Butet, J.

J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
[Crossref]

K. Y. Yang, J. Butet, C. Yan, G. D. Bernasconi, and O. J. F. Martin, “Enhancement mechanisms of second harmonic generation from double resonant aluminum nanostructures,” ACS Photonics 4(6), 1522–1530 (2017).
[Crossref]

J. Butet, T. V. Raziman, K. Y. Yang, G. D. Bernasconi, and O. J. F. Martin, “Controlling the nonlinear optical properties of plasmonic nanoparticles with the phase of their linear response,” Opt. Express 24(15), 17138–17148 (2016).
[Crossref] [PubMed]

J. Butet, P. F. Brevet, and O. J. F. Martin, “Optical second harmonic generation in plasmonic nanostructures: from fundamental principles to advanced applications,” ACS Nano 9(11), 10545–10562 (2015).
[Crossref] [PubMed]

Bykov, A. Y.

S. Kruk, M. Weismann, A. Y. Bykov, E. A. Mamonov, I. A. Kolmychek, T. Murzina, N. C. Panoiu, D. N. Neshev, and Y. S. Kivshar, “Enhanced magnetic second-harmonic generation from resonant metasurces,” ACS Photonics 2(8), 1007–1012 (2015).
[Crossref]

Caldarola, M.

G. Grinblat, M. Rahmani, E. Cortés, M. Caldarola, D. Comedi, S. A. Maier, and A. V. Bragas, “High-efficiency second harmonic generation from a single hybrid ZnO nanowire/Au plasmonic nano-oligomer,” Nano Lett. 14(11), 6660–6665 (2014).
[Crossref] [PubMed]

Camden, J. P.

N. W. Bigelow, A. Vaschillo, J. P. Camden, and D. J. Masiello, “Signatures of Fano interferences in the electron energy loss spectroscopy and cathodoluminescence of symmetry-broken nanorod dimers,” ACS Nano 7(5), 4511–4519 (2013).
[Crossref] [PubMed]

Canfield, B. K.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local field asymmetry drives second-harmonic generation in non-centrosymmetric nanodimers,” Nano Lett. 7(5), 1251–1255 (2007).
[Crossref] [PubMed]

Casanova, F.

P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
[Crossref] [PubMed]

Chang, Y. C.

M. B. Lien, J. Y. Kim, M. G. Han, Y. C. Chang, Y. C. Chang, H. J. Ferguson, Y. Zhu, A. A. Herzing, J. C. Schotland, N. A. Kotov, and T. B. Norris, “Optical asymmetry and nonlinear light scattering from colloidal gold nanorods,” ACS Nano 11(6), 5925–5932 (2017).
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M. B. Lien, J. Y. Kim, M. G. Han, Y. C. Chang, Y. C. Chang, H. J. Ferguson, Y. Zhu, A. A. Herzing, J. C. Schotland, N. A. Kotov, and T. B. Norris, “Optical asymmetry and nonlinear light scattering from colloidal gold nanorods,” ACS Nano 11(6), 5925–5932 (2017).
[Crossref] [PubMed]

Charipar, N.

Chen, G.

X. Ci, B. Wu, M. Song, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Tunable Fano resonances in heterogenous Al-Ag nanorod dimers,” Appl. Phys., A Mater. Sci. Process. 117(2), 955–960 (2014).
[Crossref]

X. Ci, B. Wu, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Magnetic-based Fano resonance of hybrid silicon-gold nanocavities in the near-infrared region,” Opt. Express 22(20), 23749–23758 (2014).
[Crossref] [PubMed]

Chen, J.

P. Alonso-González, P. Albella, F. Neubrech, C. Huck, J. Chen, F. Golmar, F. Casanova, L. E. Hueso, A. Pucci, J. Aizpurua, and R. Hillenbrand, “Experimental verification of the spectral shift between near- and far-field peak intensities of plasmonic infrared nanoantennas,” Phys. Rev. Lett. 110(20), 203902 (2013).
[Crossref] [PubMed]

Chen, L.

Chen, S.

Chen, Y.

S. Zhang, G. C. Li, Y. Chen, X. Zhu, S. D. Liu, D. Y. Lei, and H. Duan, “Pronounced Fano resonance in single gold split nanodisks with 15nm split gaps for intensive second harmonic generation,” ACS Nano 10(12), 11105–11114 (2016).
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Cheng, H.

Cheng, Y.

G. Lu, Y. Wang, R. Y. Chou, H. Shen, Y. He, Y. Cheng, and Q. Gong, “Directional side scattering of light by a single plasmonic trimer,” Laser Photonics Rev. 9(5), 530–537 (2015).
[Crossref]

Chilkoti, A.

C. Ciracì, R. T. Hill, J. J. Mock, Y. Urzhumov, A. I. Fernández-Domínguez, S. A. Maier, J. B. Pendry, A. Chilkoti, and D. R. Smith, “Probing the ultimate limits of plasmonic enhancement,” Science 337(6098), 1072–1074 (2012).
[Crossref] [PubMed]

Chou, R. Y.

G. Lu, Y. Wang, R. Y. Chou, H. Shen, Y. He, Y. Cheng, and Q. Gong, “Directional side scattering of light by a single plasmonic trimer,” Laser Photonics Rev. 9(5), 530–537 (2015).
[Crossref]

Christy, R.

P. Johnson and R. Christy, “Optical constant of the noble metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Chuntonov, L.

A. Gandman, R. Mackin, B. Cohn, I. V. Rubtsov, and L. Chuntonov, “Two-dimensional Fano lineshapes in ultrafast vibrational spectroscopy of thin molecular layers on plasmonic arrays,” J. Phys. Chem. Lett. 8(14), 3341–3346 (2017).
[Crossref] [PubMed]

Ci, X.

X. Ci, B. Wu, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Magnetic-based Fano resonance of hybrid silicon-gold nanocavities in the near-infrared region,” Opt. Express 22(20), 23749–23758 (2014).
[Crossref] [PubMed]

X. Ci, B. Wu, M. Song, Y. Liu, G. Chen, E. Wu, and H. Zeng, “Tunable Fano resonances in heterogenous Al-Ag nanorod dimers,” Appl. Phys., A Mater. Sci. Process. 117(2), 955–960 (2014).
[Crossref]

Ciraci, C.

C. Ciraci, E. Poutrina, M. Scalora, and D. R. Smith, “Second-harmonic generation in metallic nanoparticles: clarification of the role of the surface,” Phys. Rev. B 86(11), 115451 (2012).
[Crossref]

Ciracì, C.

C. Ciracì, R. T. Hill, J. J. Mock, Y. Urzhumov, A. I. Fernández-Domínguez, S. A. Maier, J. B. Pendry, A. Chilkoti, and D. R. Smith, “Probing the ultimate limits of plasmonic enhancement,” Science 337(6098), 1072–1074 (2012).
[Crossref] [PubMed]

C. Ciracì, E. Poutrina, M. Scalora, and D. R. Smith, “Origin of second-harmonic generation enhancement in optical split-ring resonators,” Phys. Rev. B 85(20), 201403 (2012).
[Crossref]

Cluzel, B.

J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
[Crossref]

Cohn, B.

A. Gandman, R. Mackin, B. Cohn, I. V. Rubtsov, and L. Chuntonov, “Two-dimensional Fano lineshapes in ultrafast vibrational spectroscopy of thin molecular layers on plasmonic arrays,” J. Phys. Chem. Lett. 8(14), 3341–3346 (2017).
[Crossref] [PubMed]

Comedi, D.

G. Grinblat, M. Rahmani, E. Cortés, M. Caldarola, D. Comedi, S. A. Maier, and A. V. Bragas, “High-efficiency second harmonic generation from a single hybrid ZnO nanowire/Au plasmonic nano-oligomer,” Nano Lett. 14(11), 6660–6665 (2014).
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J. Butet, G. D. Bernasconi, M. Petit, A. Bouhelier, C. Yan, O. J. F. Martin, B. Cluzel, and O. Demichel, “Revealing a mode interplay that controls second harmonic radiation in gold nanoantennas,” ACS Photonics 4(11), 2923–2929 (2017).
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W. Ding, B. Luk’yanchuk, and C.-W. Qiu, “Ultrahigh-contrast-ratio silicon Fano diode,” Phys. Rev. A 85(2), 025806 (2012).
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Qiu, M.

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E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302(5644), 419–422 (2003).
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S. D. Gennaro, M. Rahmani, V. Giannini, H. Aouani, T. P. H. Sidiropoulos, M. Navarro-Cía, S. A. Maier, and R. F. Oulton, “The interplay of symmetry and scattering phase in second-harmonic generation from gold nanoantennas,” Nano Lett. 16(8), 5278–5285 (2016).
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Figures (4)

Fig. 1
Fig. 1 Schematics of (a) a long and (b) a short gold nanorod functioning as electric quadrupole and dipole, respectively. The gold nanorods were modeled as cylindrical rods with radius R=20nm and hemispherical end caps. The total lengths of short and long gold nanorods, including the end caps, were L 1 =100nm and L 2 =220nm, respectively. The SCS of electric quadrupole and dipole from the long and short nanorod, respectively.
Fig. 2
Fig. 2 (a) The schematic of proposed T-shaped heterodimer composed of a short and a long gold nanorod with lengths of L 1 =100nm and L 2 =220nm, respectively, and radius of R=20nm. A plane wave is normally incident along z-axis with electric field polarizing along y-axis. (b) Simulated linear extinction cross section of the T-shaped heterodimer with gap size of g=2,4,6,8,10,20,50 and 100 nm. (c) Near field distributions of normalized electric field intensity at wavelengths of 575, 625 and 695 nm. The top and bottom column represents g=2 and g=100nm, respectively. (d) The schematic of surface charge distribution in T-shaped heterodimer with gap size of g=2 and g=100nm. (e) Far field distribution of electric field for T-shaped heterodimer with gap size of g=2 and g=100nm at wavelength of 695nm and 585nm, respectively.
Fig. 3
Fig. 3 (a) Simulated SHG efficiency of the T-shaped heterodimer with gap size of g=2,4,6,8,10,20,50,100nm. (b) Near field distributions of normalized SH electric field intensity at the SHG efficiency peaks. (c) Far field distribution of SH electric field in x-y plane. I: g=2nm, λ=695 nm; II: g=4nm, λ=675nm; III: g=6nm, λ=660nm; IV: g=8nm, λ=655nm; V: g=10nm, λ=650nm; VI: g=20nm, λ=625nm; VII: g=50nm, λ=590nm; VIII: g=100nm, λ=585nm.
Fig. 4
Fig. 4 (a) Simulated ratio of linear EQ to ED. The black circles show the wavelength at which the SHG far field patterns are studied. (b) Three-dimensional and (c) two-dimensional (in x-y plane) far field pattern of SH electric field from T-shaped heterodimer with gap size of g=2 nm for different incident wavelengths: 560, 600, 624 and 700nm.

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