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Andreas Trügler , Ulrich Hohenester Karl-Franzens-Universität Graz, Austria. Third harmonic imaging of plasmonic nanoantennas. Work performed together with : T. Hanke, J. Cesar, R. Bratschitsch , A. Leitenstorfer Lehrstuhl für Moderne Optik und Quantenelektronik, Univ. Konstanz.
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Andreas Trügler, Ulrich Hohenester Karl-Franzens-Universität Graz, Austria Third harmonic imaging of plasmonicnanoantennas Work performedtogetherwith: T. Hanke, J. Cesar, R. Bratschitsch, A. Leitenstorfer Lehrstuhl für Moderne Optik und Quantenelektronik, Univ. Konstanz
Goal of this work Tailoringspatiotemporallightconfinement in singlenanoantennas… 200 nm Agenda • - Optical antennas, experiments • Simulation of metallic nanoparticles • THG mappingofparticleplasmons 200 nm
Nanoantennasasnonlinearemitters Hyper-Rayleigh scattering at surface imperfections, see M. Stockman et al., PRL 92, 057402 (2004) Linear optics: Resolution givenbywavelengthl Nonlinearoptics (THG): Resolution givenbyl / 3 Excitation vs. Detection: Wavelengthdifference Strong χ(3)nonlinearityforgold, see T. Hanke et al., PRL 103, 257404 (2009)
Imaging withoptical antennas Substrate THG intensity ~ | E |6 E THG Pump laser pulse 0.97 eV, 24 fs Array of nanoantennas Byscanningtheexcitationspotoverthe sample andobservingthe THG signal (in thefarfield), weobtain a mapoftheelectricfieldsoftheparticleplasmons. See S. Kim et al., High-harmonic generation by resonant plasmon field enhancement, Nat. Lett. (2008); T. Hanke, R. Bratschitsch, A. Leitenstorfer @ Univ. Konstanz, Germany (2011).
THG mappingofparticleplasmons Third harmonic generation (THG) map (left) and sample (right) Excitation with fs – pulses and with a bandpass filter for wavelengths 1100 – 1500 nm T. Hanke, R. Bratschitsch, A. Leitenstorfer @ Univ. Konstanz, Germany (2011).
THG mappingofparticleplasmons T. Hanke, R. Bratschitsch, A. Leitenstorfer @ Univ. Konstanz, Germany (2011).
THG intensityforparticleplasmons Lowestantennavolume giveshighestTHG intensity !?
Boundaryelementmethod (BEM) Discretizationofsurface integral into „boundaryelements“ Collocationmethod … surfacechargeslocatedatcentersofboundaryelements fromboundaryconditions… F. J. García de Abajo et al., PRB 65, 115418 (2002); U. Hohenester et al., PRB 72, 195429 (2005).
THG mappingofparticleplasmons Simulation ofantennastructures Resultfromexperiment Size ofeachtriangle ca. 300 nm, discretisationwith 20.000 surfaceelements
THG intensityforparticleplasmons Lowestantennavolumegiveshighest THG intensity !? Scatteringintensitygeneratedbyelectromagneticfieldsatthesurface… Incoherentoptics: Biggestvolumegiveshighestintensity… Coherentoptics: Lowestvolumesgiveshighestintensity…
THG autocorrelation Autocorrelation allows to measure dephasing time of particle plasmons THG autocorrelationintensitydepends on time delaybetweenfemtosecondpulses
THG autocorrelation Autocorrelationallowstomeasuredephasing time ofparticleplasmons harmonicfields Insert harmonicfieldstogetherwithplasmondamping time: damping twointeractingpulses in / out ofphaseratiogives 32:1 THG autocorrelationintensitydepends on time delaybetweenfemtosecondpulses
THG autocorrelation Autocorrelation allows to measure dephasing time of particle plasmons Dephasingtimes: rod 5.5 fs ellipse 3.5 fs disc 2.0 fs THG autocorrelationintensitydepends on time delaybetweenfemtosecondpulses Weak plasmon damping effective build-up of the plasmonoscillation Knowledge of the plasmon damping time alone suffices to predict the nonlinear intensity !
THG intensity vs. plasmondephasing THG intensitydirectlyscaleswithplasmondephasing ! Long dephasingtimescorrespondto large THG intensities 30 47 64 81 98 115 132 149 166 183 200 high nonlinear emission connected to small antenna volumes radiative damping! rodlength: 300 nm gap: 50 nm
THG intensity vs. plasmondephasing THG intensitydirectlyscaleswithplasmondephasing ! Long dephasingtimescorrespondto large THG intensities
Summary & Acknowledgement TheoreticalNanoscience Ulrich Hohenester Jürgen Waxenegger KFU Graz, Austria Temporal scale: Measuring few-fs plasmon damping times Spatial scale: Mapping of third-harmonic emission Radiative damping: Lowest volumes generates strongest third-harmonic emission Moderne Optik und Quantenelektronik Alfred Leitenstorfer Rudolf Bratschitsch Tobias Hanke Vanessa Knittel Julijan Cesar High intensity linked to smallest antenna volume!