FANO PLASMONICS MADE SIMPLE
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1 Higher-order resonances in single-arm nanoantennas: Evidence of Fano-like interference FANO PLASMONICS MADE SIMPLE F. López-Tejeira, R. Paniagua-Domínguez, R. Rodríguez-Oliveros José A. Sánchez-Gil, Instituto de Estructura de la Materia (CSIC), Madrid (Spain)
2 Motivation: Fano in Plasmonics Fano-like plasmon resonances on a variety of complex nanostructures a 1.2 Extinction (a.u.) 0 c Extinction (1 T) Extinction (a.u.) d e , ,500 3,500 1,500 2,500 3,500 Wavelength (nm) f 1,000 1,200 Wavelength (nm) 1,000 1,200 Wavelength (nm) b ,400 Extinction (1 T) , ,200 1,400 Wavelength (nm) Nano-disk-rings, nanodolmens, nanoclusters, a Extinction (a.u.) b Intensity (a.u.) c Intensity (a.u.) 0 o 90 o 800 1,000 1,200 1,400 Wavelength (nm) 200 nm 800 1,000 1,200 1,400 Wavelength (nm) 0 o 45 o 90 o 0 o 45 o 90 o 1 Transmittance , ,000 1,200 1, Wavelength (nm) d f ,200 Wavelength (nm) , ,000 Wavelength (nm) e Extinction (a.u.) g Energy (ev) Luk yanchuk, Zheludev, Maier, Halas, Nordlander, Giessen, Chong, Nat. Mater Extinction cross-section (a.u.) = 2.0 = 1.5 = 1.0 (Q sca ) SINGLE NANOPARTICLES??
3 Outline Introduction: Plasmon Fano reso/single-np Nano-Spheroid Quasi-analytical approach: Mode interference Nano-rods & nano-wires Numerical calcs 1 st -3 rd mode: Spatial interference Conclusions: Spectral & spatial overlap
4 Outline Introduction: Plasmon Fano reso/single-np Why not? Nano-Spheroids Quasi-analytical approach: Mode interference Nano-rods & nano-wires Numerical calcs 1 st -3 rd mode: Spatial interference Conclusions: Spectral & spatial overlap
5 Introduction: Fano resonances A Fano resonance exhibits a distinctly asymmetric shape with the following functional form: where ω 0 and γ are standard parameters that denote the position and width of the resonance, respectively; F is the so-called Fano parameter, which describes the degree of asymmetry. The microscopic origin of the Fano resonance arises from the constructive and destructive interference of a narrow discrete resonance with a broad spectral line or continuum. QUANTUM CLASSICAL Fano, Effects of configuration interaction on intensities and phase shifts, Phys. Rev Joe, Satanin, and Kim, Classical analogy of Fano resonances, Phys. Scr Miroshnichenko, Flach, Kivshar, Rev. Mod. Phys. 2010
6 Introduction: Fano resonances Plasmon-Fano model Giannini, Francescato, Amrania, Phillips, Maier, Nano Lett. 2011
7 Introduction: Fano resonances PLASMONICS: SPHERE Mie scattering Quadrupole Dipole Q e Ag, r=55nm BROAD mode (Lowest-order, E-Dipole) DARK mode (Higher-order, EM Multipole) Q sca = 2 q 2 (2n + 1) a n 2 + b n 2 n Q RBS, Q FS Q RBS, Q FS / p = / p = / p Q sca Mie NO INTERFERENCE!! / p Luk yanchuk, Zheludev, Maier, Halas, Nordlander, Giessen, Chong, Nat. Mater. 2010
8 Outline Introduction: Plasmon Fano reso/single-np Nano-Spheroids Quasi-analytical approach: Mode interference Nano-rods & nano-wires Numerical calcs 1 st -3 rd mode: Spatial interference Conclusions: Spectral & spatial overlap
9 Fano LSPR/Nanospheroid Longitudinal plasmon resonances Normal incidence: odd-symmetry modes Separation of variables (SVM) Modified Fano line shape López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, preprint
10 Fano resonances/nanospheroid Longitudinal plasmon resonances Oblique incidence: all modes n=1,2,3, SVM Fano line-shape + Lorentzian N=1,3 + N=2 López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, preprint
11 Fano resonances/nanospheroid Longitudinal plasmon resonances Oblique incidence: all modes n=1,2,3, Separation of variables (SVM)~Extended Mie Mie-like: NO INTERFERENCE Ext-Mie: INTERFERENCE López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, preprint
12 Fano resonances/nanospheroid Plasmon Fano reso/single-nano-spheroids Quasi-analytical approach: Mode interference Odd modes: 1 st -3 rd interference Even-odd modes: 1 st -2 nd NO interference Explore other single NP geometries
13 Outline Introduction: Plasmon Fano reso/single-np Nano-Spheroids Quasi-analytical approach: Mode interference Nano-rods & nano-wires Numerical calcs 1 st -3 rd mode: Spatial interference Conclusions: Spectral & spatial overlap
14 Fano resonances/nanorod Longitudinal L~nλ/2 resonances Oblique incidence: all modes n=1,2,3, FEM-COMSOL López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, preprint
15 Fano-like LSPR/Nanowire Nanowire (~2D Nanorods) Longitudinal L=nλ eff /2[1-R] resonances Normal incidence: odd modes 2DSIE n=1 (HW) Broad, Bright n=3,5, (HW) Narrow, Dark Modified Fano line-shape fit López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, arxiv
16 Fano resonance/nanowire Spatial Mode Interference López-Tejeira, Rodriguez-Oliveros, Paniagua-Domínguez, Sánchez-Gil, preprint
17 Outline Introduction: Plasmon Fano reso/single-np Nano-Spheroids Quasi-analytical approach: Mode interference Nano-rods & nano-wires Numerical calcs 1 st -3 rd mode: Spatial interference Conclusions: Spectral & spatial overlap
18 Conclusions Fano-like LSPR on a single nanorod Spectral & Spatial overlap Explore new physics & configurations Applications: Fano made simple!! Plasmonics, Nanophotonics, Metamaterials, EM Sensing, lasing, switching, NL optics,
19 Acknowledgements Coworkers Instituto de Estructura de la Materia (CSIC), Madrid (Spain) Rogelio Rodríguez-Oliveros Ramón Paniagua-Domínguez Fernando López-Tejeira
20 Acknowledgements Funding agencies
21 Thank you
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