Abstract
The optical microscopy and spectroscopy of nano-objects and macromolecules demands the efficient coupling of far-field light to the microscopic scale extended at only a few percent of the optical wavelength. Thus, a far-field-to-near-field coupler is a vital tool in optical metrology, providing the ability to combine well-advanced optical techniques such as pump-probe spectroscopy and spectral interferometry with the microscopic world. Three-dimensional optical tapers, particularly metallic tapers, have been proposed [1], intensively investigated, and employed in many groups worldwide for this purpose [2, 3]. The concept that allows an efficient coupling of far-field light onto single nano-objects is adiabatic nanofocusing [1]. In adiabatic nanofocusing , the optical modes of a metallic taper evolve, via propagation along the shaft towards the apex, in an extremely efficient mode-conversion procedure and result in localization of the electromagnetic energy only at the very apex, extended within a few atomic scales, provided that the apex is sharp enough.
Portions of the text of this chapter have been re-published with permission from [4], Copyright © 2015, American Chemical Society; [5], Copyright © 2015, American Chemical Society.
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References
M.I. Stockman, Nanofocusing of optical energy in tapered plasmonic waveguides (in English). Phys. Rev. Lett. 93(13) (2004). doi: Artn 137404 https://doi.org/10.1103/physrevlett.93.137404
S. Schmidt et al., Adiabatic nanofocusing on ultrasmooth single-crystalline gold tapers creates a 10-nm-sized light source with few-cycle time resolution. ACS Nano 6(7), 6040–6048 (2012). https://doi.org/10.1021/nn301121h
C. Ropers, C.C. Neacsu, T. Elsaesser, M. Albrecht, M.B. Raschke, C. Lienau, Grating-coupling of surface plasmons onto metallic tips:  a nanoconfined light source. Nano Lett. 7(9), 2784–2788 (2007). https://doi.org/10.1021/nl071340m
N. Talebi et al., Excitation of mesoscopic plasmonic tapers by relativistic electrons: phase matching versus eigenmode resonances (in English). ACS Nano 9(7), 7641–7648 (2015). https://doi.org/10.1021/acsnano.5b03024
S. Guo et al., Reflection and phase matching in plasmonic gold tapers. Nano Lett. 16(10), 6137–6144 (2016). https://doi.org/10.1021/acs.nanolett.6b02353
S. Grésillon et al., Experimental observation of localized optical excitations in random metal-dielectric films. Phys. Rev. Lett. 82(22), 4520–4523 (1999). https://doi.org/10.1103/physrevlett.82.4520
P.G. Etchegoin, E.C.L. Ru, M. Meyer, An analytic model for the optical properties of gold. J. Chem. Phys. 125(16), 164705 (2006). https://doi.org/10.1063/1.2360270
F. Huth et al., Resonant antenna probes for tip-enhanced infrared near-field microscopy. Nano Lett. 13(3), 1065–1072 (2013). https://doi.org/10.1021/nl304289g
L.B. Felsen, N. Marcuvitz, Radiation and Scattering of Waves (Prentice Hall: Englewood Cliff, New Jersey, 1973)
J.J. Bowman, T.B.A. Senior, P.L.E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes (Hemisphere, New York, 1987)
M.A. Lyalinov, Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. IMA J. Appl. Math. 79(3), 393–430 (2014). https://doi.org/10.1093/imamat/hxs072
K. Kurihara, A. Otomo, A. Syouji, J. Takahara, K. Suzuki, S. Yokoyama, Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach. J. Phys. A: Math. Theor. 40(41), 12479–12503 (2007). https://doi.org/10.1088/1751-8113/40/41/015
J.C. Ashley, L.C. Emerson, Dispersion relations for non-radiative surface plasmons on cylinders. Surf. Sci. 41(2), 615–618 (1974). doi:https://doi.org/10.1016/0039-6028(74)90080-6
C.A. Pfeiffer, E.N. Economou, K.L. Ngai, Surface polaritons in a circularly cylindrical interface: surface plasmons. Phys. Rev. B 10(8), 3038–3051. (1974). https://doi.org/10.1103/physrevb.10.3038
L. Novotny, C. Hafner, Light propagation in a cylindrical waveguide with a complex, metallic, dielectric function. Phys. Rev. E 50(5), 4094–4106. (1994). https://doi.org/10.1103/physreve.50.4094
M.I. Stockman, Nanofocusing of optical energy in tapered plasmonic waveguides (vol 93, 137404, 2004) (in English). Phys. Rev. Lett. 106(1) (2011). doi: Artn 019901 https://doi.org/10.1103/physrevlett.106.019901
N. Issa, R. Guckenberger, Optical nanofocusing on tapered metallic waveguides. Plasmonics 2, 31–37 (2007)
M. Esmann et al., K-space imaging of the eigenmodes on a sharp gold taper for near-field scanning optical microscopy. Beilstein J. Nanotechnol. 4, 603–610 (2013)
N. Talebi, W. Sigle, R. Vogelgesang, P. van Aken, Numerical simulations of interference effects in photon-assisted electron energy-loss spectroscopy. New J. Phys. 15(5), 053013 (2013). https://doi.org/10.1088/1367-2630/15/5/053013
J.A. Stratton, Electromagnetic Theory (Wiley, New York, 2007)
R.F. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill Book Company, New York, 1961)
R. Garciamolina, A. Grasmarti, A. Howie, R.H. Ritchie, Retardation effects in the interaction of charged-particle beams with bounded condensed media (in English). J. Phys. C Solid State 18(27), 5335–5345 (1985). doi:https://doi.org/10.1088/0022-3719/18/27/019
J.C. Ashley, L.C. Emerson, Dispersion-relations for non-radiative surface plasmons on cylinders. Surf. Sci. 41(2), 615–618 (1974). https://doi.org/10.1016/0039-6028(74)90080-6
C.A. Pfeiffer, E.N. Economou, K.L. Ngai, Surface polaritons in a circularly cylindrical interface—surface plasmons. Phys. Rev. B 10(8), 3038–3051 (1974). https://doi.org/10.1103/physrevb.10.3038
F.J.G. de Abajo, M. Kociak, Probing the photonic local density of states with electron energy loss spectroscopy (in English) Phys. Rev. Lett. Article 100(10), 4, Art no. 106804. https://doi.org/10.1103/physrevlett.100.106804
C.C. Neacsu, S. Berweger, R.L. Olmon, L.V. Saraf, C. Ropers, M.B. Raschke, Near-field localization in plasmonic superfocusing: a nanoemitter on a tip. Nano Lett. 10(2), 592–596 (2010). https://doi.org/10.1021/nl903574a
M. Esmann et al., k-space imaging of the eigenmodes of sharp gold tapers for scanning near-field optical microscopy, (in English). Beilstein J. Nanotech 4, 603–610 (2013). doi:https://doi.org/10.3762/bjnano.4.67
S. Thomas, G. Wachter, C. Lemell, J. Burgdörfer, P. Hommelhoff, Large optical field enhancement for nanotips with large opening angles. New J. Phys. 17(6), 063010 (2015). (Online). Available: http://stacks.iop.org/1367-2630/17/i=6/a=063010
B. Schröder et al., Real-space imaging of nanotip plasmons using electron energy loss spectroscopy. Phys. Rev. B 92(8), 085411 (2015). https://doi.org/10.1103/PhysRevB.92.085411
S.V. Yalunin, B. Schröder, C. Ropers, Theory of electron energy loss near plasmonic wires, nanorods, and cones. Phys. Rev. B 93(11), 115408 (2016) (Online). Available: http://link.aps.org/doi/10.1103/PhysRevB.93.115408
A.J. Babadjanyan, N.L. Margaryan, K.V. Nerkararyan, Superfocusing of surface polaritons in the conical structure. J. Appl. Phys. 87(8), 3785–3788 (2000). https://doi.org/10.1063/1.372414
M. Stockman, Nanofocusing of optical energy in tapered plasmonic waveguides. Phys. Rev. Lett. 93(13) (2004). https://doi.org/10.1103/physrevlett.93.137404
M.S. Jang, H. Atwater, Plasmonic rainbow trapping structures for light localization and spectrum splitting. Phys. Rev. Lett. 107(20), 207401 (2011) (Online). Available: http://link.aps.org/doi/10.1103/PhysRevLett.107.207401
P.B. Johnson, R.W. Christy, Optical constants of the noble metals. Phys. Rev. B 6(12), 4370–4379 (1972) (Online). Available: http://link.aps.org/doi/10.1103/PhysRevB.6.4370
V. Kravtsov, J.M. Atkin, M.B. Raschke, Group delay and dispersion in adiabatic plasmonic nanofocusing. Opt. Lett. 38(8), 1322–1324 (2013). https://doi.org/10.1364/ol.38.001322
S.R. Guo et al., Reflection and phase matching in plasmonic gold tapers (in English). Nano Lett. 16(10), 6137–6144 (2016). https://doi.org/10.1021/acs.nanolett.6b02353
P. Groß, M. Esmann, S.F. Becker, J. Vogelsang, N. Talebi, C. Lienau, Plasmonic nanofocusing—grey holes for light. Adv. Phys. X, 1–34 (2016). https://doi.org/10.1080/23746149.2016.1177469
G. Richter, K. Hillerich, D.S. Gianola, R. Mönig, O. Kraft, C.A. Volkert, Ultrahigh strength single crystalline nanowhiskers grown by physical vapor deposition. Nano Lett. 9(8), 3048–3052 (2009). https://doi.org/10.1021/nl9015107
J. Dorfmüller et al., Fabry-Pérot resonances in one-dimensional plasmonic nanostructures. Nano Lett. 9(6), 2372–2377 (2009). https://doi.org/10.1021/nl900900r
X. Zhou, A. Hörl, A. Trügler, U. Hohenester, T.B. Norris, A.A. Herzing, Effect of multipole excitations in electron energy-loss spectroscopy of surface plasmon modes in silver nanowires. J. Appl. Phys. 116(22), 223101 (2014). https://doi.org/10.1063/1.4903535
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Talebi, N. (2019). Optical Modes of Gold Tapers Probed by Electron Beams. In: Near-Field-Mediated Photon–Electron Interactions. Springer Series in Optical Sciences, vol 228. Springer, Cham. https://doi.org/10.1007/978-3-030-33816-9_6
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