Abstract
Plasmonics is expected to play a key role in nanotechnology, leading to intriguing routes in many engineering and biological applications. Recently, it has been realized that toroidal resonances could be an alternative to electric and magnetic resonances, which have governed the innovation of plasmonic applications so far. In a previous contribution, we proved the existence of toroidal moments in an oligomeric void-plasmonic structure [1]. In this article, we investigate the role of topology and symmetry in decomposing the various dipolar, quadrupolar, and toroidal moments, using energy-filtering transmission electron microscopy supported by three-dimensional finite-difference time-domain method simulations. The consequences of changing the topology on the toroidal character are discussed by comparing results obtained from nanoholes forming heptamer and hexamer nanocavity systems that were drilled into a thin silver film.
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B. Ögüt, N. Talebi, R. Vogelgesang, W. Sigle, P.A. van Aken, Nano Lett. 12, 5239 (2012)
T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, P.A. Wolff, Nature 391, 667 (1998)
E. Ozbay, Science 311, 189 (2006)
J.L. West, N.J. Halas, Annu. Rev. Biomed. Eng. 5, 285 (2003)
L. Gu, W. Sigle, C.T. Koch, B. Ögüt, P.A. van Aken, N. Talebi, R. Vogelgesang, J. Mu, X. Wen, J. Mao, Phys. Rev. B 83, 195433 (2011)
I. Alber, W. Sigle, S. Müller, R. Neumann, O. Picht, M. Rauber, P.A. van Aken, M.E. Toimil-Molares, ACS Nano 5, 9845 (2011)
V. Myroshnychenko, J. Nelayah, G. Adamo, N. Geuquet, J. Rodriguez-Fernández, I. Pastoriza-Santos, K.F. MacDonald, L. Henrard, L.M. Liz-Marzán, N.I. Zheludev, M. Kociak, Nanoletters 12, 4172 (2012)
F. Hao, C.L. Nehl, J. Hafner, P. Nordlander, Nano Lett. 7, 729 (2007)
F.J. Garcia de Abajo, Rev. Mod. Phys. 79, 1267 (2007)
P.E. Batson, Phys. Rev. Lett. 49, 936 (1982)
W. Sigle, J. Nelayah, C.T. Koch, B. Ögüt, L. Gu, P.A. van Aken, Ultramicroscopy 110, 1094 (2010)
L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields (Elsevier, Amsterdam, 1980), p. 110ff
T. Kaelberer, V.A. Fedotov, N. Papasimakis, D.P. Tsai, N.I. Zheludev, Science 330, 1510 (2010)
Y.-W. Huang, W.T. Chen, P.C. Wu, V.A. Fedotov, N.I. Zheludev, D.P. Tsai, Sci. Rep. (2013). doi:10.1038/srep01237
Z.-G. Dong, J. Zu, X. Yin, J. Li, C. Lu, X. Zhang, Phys. Rev. B 87, 245429 (2013)
R.L. Lyles, S.J. Rothman, W. Jäger, Metallography 11, 361 (1978)
T. Malis, S.C. Cheng, R.F. Egerton, J. Electron Microsc. Tech. 8, 193 (1988)
C.T. Koch, W. Sigle, R. Höschen, M. Rühle, E. Essers, G. Benner, M. Matijevic, Microsc. Microanal. 12, 506 (2006)
E. Essers, G. Benner, T. Mandler, S. Meyer, D. Mittmann, M. Schnell, R. Höschen, Ultramicroscopy 110, 971 (2010)
N. Talebi, W. Sigle, R. Vogelgesang, C.T. Koch, C. Fernandez-Lopez, L.M. Liz-Marzan, B. Ögüt, M. Rohm, P.A. van Aken, Langmuir 28, 8867 (2012)
N. Talebi, M. Shahabadi, J. Phys. D Appl. Phys. 43, 135302 (2010)
F.J. Garcia de Abajo, M. Kociak, Phys. Rev. B 100, 106801 (2008)
S.A. Maier, P.G. Kik, H.A. Atwater, S. Melzer, E. Harel, B.E. Koel, A.A.G. Requicha, Nat. Mater. 2, 229–232 (2003)
S.M. Raeis Zadeh Bajestani, M. Shahabadi, N. Talebi, J. Opt. Soc. Am. B 28, 937–943 (2011)
N. Talebi, A. Mahjoubfar, M. Shahabadi, J. Opt. Soc. Am. B 25, 2116–2122 (2008)
F. Eftekhari, C. Escobedo, J. Ferreira, X. Duan, E.M. Girotto, A.G. Brolo, R. Gordon, D. Sinton, Anal. Chem. 81, 4308 (2009)
K.J. Vahala, Nature 424, 839 (2003)
Acknowledgments
We acknowledge the support of U. Eigenthaler and I. Lakemeyer for the specimen preparation; C. T. Koch for writing the scripts regarding the EFTEM acquisition and peak finding algorithm. N. Talebi acknowledges the Alexander-von-Humboldt Foundation for financial support. The research leading to these results has received funding from the European Union Seventh Framework Programme [FP7/2007-2013] under Grant agreement no. 312483 (ESTEEM2).
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Talebi, N., Ögüt, B., Sigle, W. et al. On the symmetry and topology of plasmonic eigenmodes in heptamer and hexamer nanocavities. Appl. Phys. A 116, 947–954 (2014). https://doi.org/10.1007/s00339-014-8532-y
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DOI: https://doi.org/10.1007/s00339-014-8532-y