Abstract
This chapter describes an analytical model developed to study the Fano resonance effect in clusters of spherical plasmonic nanoparticles under local excitation. The model depicted the case of a parallel single dipole emitter that was near-field coupled to a pentamer or heptamer cluster of nanospheres. Spatial polarization and field distributions of the optical states and resonance spectra for these cluster configurations were calculated. The directivity calculation was analyzed in order to qualify the redirection of emission. Performances of various nanoantennae were investigated and fully characterized in terms of spatial geometric differences and the Fano resonance effect on plasmonic nanoparticles in the optical domain. Light radiation patterns were found to be significantly affected by nanosphere sizes and positioning of nanospheres with respect to the dipole. A coupling capacitor is calculated as an equivalent component in the proposed circuit model in order to describe the coupling effect between subradiant and superradiant mode in the Fano resonance. The circuit impedances of tetramer, pentamer, and broken symmetry pentamer are simulated, with resultant circuit models in agreement with the calculated results based on S-parameters. The analytical treatment of these modeled nanoantennae yielded results that are applicable to physical design and utilization considerations for clusters in nanoantennae mechanisms.
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References
Anker JN, Hall WP, Lyandres O, Shah NC, Zhao J, Van Duyne RP (2008) Biosensing with plasmonic nanosensors. Nat Mater 7:442–453
Ono A, Kato J, Kawata S (2005) Subwavelength optical imaging through a metallic nanorod array. Phys Rev Lett 95:267407
Garcia-Vidal FJ, Martin-Moreno L, Pendry JB (2005) Surfaces with holes in them: new plasmonic metamaterials. J Opt A Pure Appl Opt 7:S97–S101
Ha T, Enderle T, Ogletree DF, Chemla DS, Selvin PR, Weiss S (1996) Probing the interaction between two single molecules: fluorescence resonance energy transfer between a single donor and a single acceptor. Proc Natl Acad Sci U S A 93:6264–6268
Cesca T, Calvelli P, Battaglin G, Mazzoldi P, Mattei G (2012) Local-field enhancement effect on the nonlinear optical response of gold-silver nanoplanets. Opt Express 20:4537–4547
Dregely D, Taubert R, Dorfmuller J, Vogelgesang R, Kern K, Giessen H (2011) 3D optical Yagi-Uda nanoantenna array. Nat Commun 2:267
Hutter E, Fendler JH (2004) Exploitation of localized surface plasmon resonance. Adv Mater 16:1685–1706
Sonnefraud Y, Verellen N, Sobhani H, Vandenbosch GAE, Moshchalkov VV, Van Dorpe P et al (2010) Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities. ACS Nano 4:1664–1670
Christ A, Martin OJF, Ekinci Y, Gippius NA, Tikhodeev SG (2008) Symmetry breaking in a plasmonic metamaterial at optical wavelength. Nano Lett 8:2171–2175
Hao F, Sonnefraud Y, Van Dorpe P, Maier SA, Halas NJ, Nordlander P (2008) Symmetry breaking in plasmonic nanocavities: subradiant LSPR sensing and a tunable Fano resonance. Nano Lett 8:3983–3988
Tetz KA, Pang L, Fainman Y (2006) High-resolution surface plasmon resonance sensor based on linewidth-optimized nanohole array transmittance. Opt Lett 31:1528–1530
Chua SL, Chong Y, Stone AD, Soljacic M, Bravo-Abad J (2011) Low-threshold lasing action in photonic crystal slabs enabled by Fano resonances. Opt Express 19:1539–1562
Samson ZL, MacDonald KF, De Angelis F, Gholipour B, Knight K, Huang CC et al (2010) Metamaterial electro-optic switch of nanoscale thickness. Appl Phys Lett 96:143105
Kim J, Kim J-R, Lee J-O, Park JW, So HM, Kim N et al (2003) Fano resonance in crossed carbon nanotubes. Phys Rev Lett 90:166403
Papasimakis N, Fedotov VA, Zheludev NI, Prosvirnin SL (2008) Metamaterial analog of electromagnetically induced transparency. Phys Rev Lett 101:253903
Zhang S, Genov DA, Wang Y, Liu M, Zhang X (2008) Plasmon-induced transparency in metamaterials. Phys Rev Lett 101:047401
Chiam SY, Singh R, Rockstuhl C, Lederer F, Zhang WL, Bettiol AA (2009) Analogue of electromagnetically induced transparency in a terahertz metamaterial. Phys Rev B 80:153103
Luk’yanchuk B, Zheludev NI, Maier SA, Halas NJ, Nordlander P, Giessen H et al (2010) The Fano resonance in plasmonic nanostructures and metamaterials. Nat Mater 9:707–715
Fan JA, Bao K, Wu C, Bao J, Bardhan R, Halas NJ et al (2010) Fano-like interference in self-assembled plasmonic quadrumer clusters. Nano Lett 10:4680–4685
Lassiter JB, Sobhani H, Knight MW, Mielczarek WS, Nordlander P, Halas NJ (2012) Designing and deconstructing the Fano lineshape in plasmonic nanoclusters. Nano Lett 12:1058–1062
Abdumalikov AA Jr, Astafiev O, Zagoskin AM, Pashkin YA, Nakamura Y, Tsai JS (2010) Electromagnetically induced transparency on a single artificial atom. Phys Rev Lett 104:193601
Boller KJ, Imamolu A, Harris SE (1991) Observation of electromagnetically induced transparency. Phys Rev Lett 66:2593–2596
Prodan E, Radloff C, Halas NJ, Nordlander P (2003) A hybridization model for the plasmon response of complex nanostructures. Science 302:419–422
Fang Z, Cai J, Yan Z, Nordlander P, Halas NJ, Zhu X (2011) Removing a wedge from a metallic nanodisk reveals a Fano resonance. Nano Lett 11:4475–4479
Zhang S, Bao K, Halas NJ, Xu H, Nordlander P (2011) Substrate-induced Fano resonances of a plasmonic nanocube: a route to increased-sensitivity localized surface plasmon resonance sensors revealed. Nano Lett 11:1657–1663
Solis D Jr, Willingham B, Nauert SL, Slaughter LS, Olson J, Swanglap P et al (2012) Electromagnetic energy transport in nanoparticle chains via dark plasmon modes. Nano Lett 12:1349–1353
Lassiter JB, Sobhani H, Fan JA, Kundu J, Capasso F, Nordlander P et al (2010) Fano resonances in plasmonic nanoclusters: geometrical and chemical tunability. Nano Lett 10:3184–3189
Frimmer M, Coenen T, Koenderink AF (2012) Signature of a Fano resonance in a plasmonic metamolecule’s local density of optical states. Phys Rev Lett 108:077404
Rahmani M, Tahmasebi T, Lin Y, Lukiyanchuk B, Liew TY, Hong MH (2011) Influence of plasmon destructive interferences on optical properties of gold planar quadrumers. Nanotechnology 22:245204
Rahmani M, Lukiyanchuk B, Ng B, Tavakkoli KGA, Liew YF, Hong MH (2011) Generation of pronounced Fano resonances and tuning of subwavelength spatial light distribution in plasmonic pentamers. Opt Express 19:4949–4956
Rahmani M, Lukiyanchuk B, Nguyen TTV, Tahmasebi T, Lin Y, Liew TYF et al (2011) Influence of symmetry breaking in pentamers on Fano resonance and near-field energy localization. Opt Mater Express 1:1409–1415
Bao K, Mirin NA, Nordlander P (2010) Fano resonances in planar silver nanosphere clusters. Appl Phys A Mater Sci Process 100:333–339
Emami SD, Soltanian MRK, Attaran A, Abdul-Rashid HA, Penny R, Moghavvemi M et al (2015) Application of Fano resonance effects in optical antennas formed by regular clusters of nanospheres. Appl Phys A Mater Sci Process 118:139–150
Bao K, Mirin N, Nordlander P (2010) Fano resonances in planar silver nanosphere clusters. Appl Phys A 100:333–339
Mukherjee S, Sobhani H, Lassiter JB, Bardhan R, Nordlander P, Halas NJ (2010) Fanoshells: nanoparticles with built-in Fano resonances. Nano Lett 10:2694–2701
Hao F, Nordlander P, Sonnefraud Y, Dorpe PV, Maier SA (2009) Tunability of subradiant dipolar and Fano-type plasmon resonances in metallic ring/disk cavities: implications for nanoscale optical sensing. ACS Nano 3:643–652
Liu H, Wang N, Liu Y, Zhao Y, Wu X (2011) Light transmission properties of double-overlapped annular apertures. Opt Lett 36:385–387
Singh R, Al-Naib IAI, Koch M, Zhang W (2011) Sharp Fano resonances in THz metamaterials. Opt Express 19:6312–6319
Dong Z-G, Liu H, Xu M-X, Li T, Wang S-M, Cao J-X et al (2010) Role of asymmetric environment on the dark mode excitation in metamaterial analogue of electromagnetically-induced transparency. Opt Express 18:22412–22417
Verellen N, Sonnefraud Y, Sobhani H, Hao F, Moshchalkov VV, Van Dorpe P et al (2009) Fano resonances in individual coherent plasmonic nanocavities. Nano Lett 9:1663–1667
Hu Y, Noelck SJ, Drezek RA (2010) Symmetry breaking in gold-silica-gold multilayer nanoshells. ACS Nano 4:1521–1528
Tuniz A, Lwin R, Argyros A, Fleming SC, Pogson EM, Constable E et al (2011) Stacked-and-drawn metamaterials with magnetic resonances in the terahertz range. Opt Express 19:16480–16490
Attaran A, Emami SD, Soltanian MRK, Penny R, Behbahani F, Harun SW et al (2014) Circuit model of Fano resonance on tetramers, pentamers, and broken symmetry pentamers. Plasmonics 9:1303–1313
Emami SD, Ahmad H, Harun SW, Mirnia SE, Soltanian MRK, Rashid HAA (2012) Fano resonance on plasmonic nanostructures. In: 2012 I.E. 3rd international conference on photonics (ICP), Kuala lumpur. pp 144–148
Litvak AG, Tokman MD (2002) Electromagnetically induced transparency in ensembles of classical oscillators. Phys Rev Lett 88:095003
Joe YS, Satanin AM, Kim CS (2006) Classical analogy of Fano resonances. Phys Scr 74:259–266
Campione S, Steshenko S, Albani M, Capolino F (2011) Characterization of the optical modes in 3D-periodic arrays of metallic nanospheres. In: General assembly and scientific symposium, 2011 XXXth URSI, Istanbul. pp 1–4
Aden AL, Kerker M (1951) Scattering of electromagnetic waves from two concentric spheres. J Appl Phys 22:1242–1246
Jackson J (1998) Classical electrodynamics, vol 3. Wiley, New York
Stout ADB, Rolly B, Bonod N (2011) Multipole methods for nano-antennas design: applications to Yagi-Uda configurations. J Opt Soc Am B 28:1213–1223
Evlyukhin A, Reinhardt C, Seidel A, Luk’yanchuk B, Chichkov B (2010) Optical response features of Si-nanoparticle arrays. Phys Rev B 82:045404
Vial A, Laroche T (2007) Description of dispersion properties of metals by means of the critical points model and application to the study of resonant structures using the FDTD method. J Phys D Appl Phys 40:7152–7158
Bohren CF, Huffman DR (2007) Absorption and scattering of light by small particles. Wiley-VCH Verlag GmbH, United States. pp 1–11
Quinten M (2011) Mie’s theory for single spherical particles. In: Optical properties of nanoparticle systems. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. pp 75–122
Quinten M (2011) Beyond Mie’s theory II – the generalized Mie theory. In: Optical properties of nanoparticle systems. Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. pp 317–339
Taminiau TH, Stefani FD, van Hulst NF (2011) Optical nanorod antennas modeled as cavities for dipolar emitters: evolution of sub- and super-radiant modes. Nano Lett 11:1020–1024
Taminiau T, Stefani F, Segerink F, Van Hulst N (2008) Optical antennas direct single-molecule emission. Nat Photonics 2:234–237
Pakizeh T, Käll M (2009) Unidirectional ultracompact optical nanoantennas. Nano Lett 9:2343–2349
Krasnok AE, Miroshnichenko AE, Belov PA, Kivshar YS (2012) All-dielectric optical nanoantennas. Opt Express 20:20599–20604
Hopkins B, Poddubny AN, Miroshnichenko AE, Kivshar YS (2013) Revisiting the physics of Fano resonances for nanoparticle oligomers. Phys Rev A 88:053819
Engheta N, Salandrino A, Alù A (2005) Circuit elements at optical frequencies: nanoinductors, nanocapacitors, and nanoresistors. Phys Rev Lett 95:095504
Engheta N (2007) Circuits with light at nanoscales: optical nanocircuits inspired by metamaterials. Science 317:1698–1702
Harden J, Joshi A, Serna JD (2011) Demonstration of double EIT using coupled harmonic oscillators and RLC circuits. Eur J Phys 32:541–558
Song K, Mazumder P (2009) An equivalent circuit modeling of an equispaced metallic nanoparticles (MNPs) plasmon wire. IEEE Trans Nanotechnol 8:412–418
Engheta N, Salandrino A, Alù A (2011) Erratum: circuit elements at optical frequencies: nanoinductors, nanocapacitors, and nanoresistors [Phys Rev Lett 95:095504 (2005)]. Phys Rev Lett 106:089901
Zareie HM, Morgan SW, Moghaddam M, Maaroof AI, Cortie MB, Phillips MR (2008) Nanocapacitive circuit elements. ACS Nano 2:1615–1619
Alu A, Engheta N (2011) Optical metamaterials based on optical nanocircuits. Proc IEEE 99:1669–1681
Alam M, Massoud Y (2006) RLC ladder model for scattering in single metallic nanoparticles. IEEE Trans Nanotechnol 5:491–498
Alam M, Massoud Y, Eleftheriades GV (2011) A time-varying approach to circuit modeling of plasmonic nanospheres using radial vector wave functions. IEEE Trans Microwave Theory Tech 59:2595–2611
Alu A, Engheta N (2008) Tuning the scattering response of optical nanoantennas with nanocircuit loads. Nat Photonics 2:307–310
Lamb WE Jr, Retherford RC (1951) Fine structure of the hydrogen atom. Part II. Phys Rev 81:222–232
Amin M, Bağci H (2012) Investigation of Fano resonances induced by higher order plasmon modes on a circular nano-disk with an elongated cavity. Prog Electromagn Res 130:187–206
Lekner J (2011) Capacitance coefficients of two spheres. J Electrost 69:11–14
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Emami, S.D., Penny, R., Abdul Rashid, H.A., Mohammed, W.S., Rahman, B.M.A. (2016). Fano Resonance in Plasmonic Optical Antennas. In: Geddes, C. (eds) Reviews in Plasmonics 2015. Reviews in Plasmonics, vol 2015. Springer, Cham. https://doi.org/10.1007/978-3-319-24606-2_8
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DOI: https://doi.org/10.1007/978-3-319-24606-2_8
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