114
K. Imaeda and K. Imura
42. Ditlbacher H, Hohenau A, Wagner D, Kreibig U, Rogers M, Hofer F, Aussenegg FR, Krenn
JR (2005) Silver nanowires as surface plasmon resonators. Phys Rev Lett 95:257403
43. Vesseur EJR, de Waele R, Kuttge M, Polman A (2007) Direct observation of plasmonic modes
in Au nanowires using high-resolution cathodoluminescence spectroscopy. Nano Lett 7:2843–
2846
44. Dorfmüller J, Vogelgesang R, Weitz RT, Rockstuhl C, Etrich C, Pertsch T, Lederer F, Kern
K (2009) Fabry-Pérot resonances in one-dimensional plasmonic nanostructures. Nano Lett
9:2372–2377
45. Rossouw D, Couillard M, Vickery J, Kumacheva E, Botton GA (2011) Multipolar plasmonic
resonances in silver nanowire antennas imaged with a subnanometer electron probe. Nano Lett
11:1499–1504
46. Jackson JD (1999) In: Classical electrodynamics, 3rd ed. Wiley
47. Mizobata H, Ueno K, Misawa H, Okamoto H, Imura K (2017) Near-field spectroscopic properties of complementary gold nanostructures: applicability of Babinet’s principle in the optical
region. Opt Express 25:5279–5289
48. Rang M, Jones AC, Zhou F, Li Z-Y, Wiley BJ, Xia Y, Raschke MB (2008) Optical near-field
mapping of plasmonic nanoprisms. Nano Lett 8:3357–3363
49. Awada C, Popescu T, Douillard L, Charra F, Perron A, Yockell-Lelièvre H, Baudrion A-L, Adam
P-M, Bachelot R (2012) Selective excitation of plasmon resonances of single Au triangles by
polarization-dependent light excitation. J Phys Chem C 116:14591–14598
50. Viarbitskaya S, Teulle A, Marty R, Sharma J, Girard C, Arbouet A, Dujardin E (2013) Tailoring
and imaging the plasmonic local density of states in crystalline nanoprisms. Nat Mater 12:426–
432
51. Imura K, Ueno K, Misawa H, Okamoto H, McArthur D, Hourahine B, Papoff F (2014) Plasmon
modes in single gold nanodiscs. Opt Express 22:12189–12199
52. Nelayah J, Kociak M, Stéphan O, García de Abajo FJ, Tencé M, Henrard L, Taverna D,
Pastoriza-Santos I, Liz-Marzán LM, Colliex C (2007) Mapping surface plasmons on a single
metallic nanoparticle. Nat Phys 3:348–353
53. Nelayah J, Gu L, Sigle W, Koch CT, Pastoriza-Santos I, Liz-Marzán LM, van Aken PA (2009)
Direct imaging of surface plasmon resonances on single triangular silver nanoprisms at optical
wavelength using low-loss EFTEM imaging. Opt Lett 34:1003–1005
54. Nelayah J, Kociak M, Stéphan O, Geuquet N, Henrard L, García de Abajo FJ, Pastoriza-Santos
I, Liz-Marzán LM, Colliex C (2010) Two-dimensional quasistatic stationary short range surface
plasmons in flat nanoprisms. Nano Lett 10:902–907
55. Gu L, Sigle W, Koch CT, Ögüt B, van Aken PA, Talebi N, Vogelgesang R, Mu J, Wen X, Mao
J (2011) Resonant wedge-plasmon modes in single-crystalline gold nanoplatelets. Phys Rev B
83:195433
56. Schmidt F-P, Ditlbacher H, Hohenester U, Hohenau A, Hofer F, Krenn JR (2012) Dark
plasmonic breathing modes in silver nanodisks. Nano Lett 12:5780–5783
57. Schmidt FP, Ditlbacher H, Hofer F, Krenn JR, Hohenester U (2014) Morphing a plasmonic
nanodisk into a nanotriangle. Nano Lett 14:4810–4815
58. Kawasaki N, Meuret S, Weil R, Lourenço-Martins H, Stéphan O, Kociak M (2016) Extinction
and scattering properties of high-order surface plasmon modes in silver nanoparticles probed
by combined spatially resolved electron energy loss spectroscopy and cathodoluminescence.
ACS Photon 3:1654–1661
59. Campos A, Arbouet A, Martin J, Gérard D, Proust J, Plain J, Kociak M (2017) Plasmonic
breathing and edge modes in aluminum nanotriangles. ACS Photon 4:1257–1263
60. Imaeda K, Hasegawa S, Imura K (2018) Imaging of plasmonic eigen modes in gold triangular
mesoplates by near-field optical microscopy. J Phys Chem C 122:7399–7409
61. Li W-K, Blinder SM (1985) Solution of the Schrödinger equation for a particle in an equilateral
triangle. J Math Phys 26:2784–2786
62. Betzig E, Chichester RJ (1993) Single molecules observed by near-field scanning optical
microscopy. Science 262:1422–1425
K. Imaeda and K. Imura
42. Ditlbacher H, Hohenau A, Wagner D, Kreibig U, Rogers M, Hofer F, Aussenegg FR, Krenn
JR (2005) Silver nanowires as surface plasmon resonators. Phys Rev Lett 95:257403
43. Vesseur EJR, de Waele R, Kuttge M, Polman A (2007) Direct observation of plasmonic modes
in Au nanowires using high-resolution cathodoluminescence spectroscopy. Nano Lett 7:2843–
2846
44. Dorfmüller J, Vogelgesang R, Weitz RT, Rockstuhl C, Etrich C, Pertsch T, Lederer F, Kern
K (2009) Fabry-Pérot resonances in one-dimensional plasmonic nanostructures. Nano Lett
9:2372–2377
45. Rossouw D, Couillard M, Vickery J, Kumacheva E, Botton GA (2011) Multipolar plasmonic
resonances in silver nanowire antennas imaged with a subnanometer electron probe. Nano Lett
11:1499–1504
46. Jackson JD (1999) In: Classical electrodynamics, 3rd ed. Wiley
47. Mizobata H, Ueno K, Misawa H, Okamoto H, Imura K (2017) Near-field spectroscopic properties of complementary gold nanostructures: applicability of Babinet’s principle in the optical
region. Opt Express 25:5279–5289
48. Rang M, Jones AC, Zhou F, Li Z-Y, Wiley BJ, Xia Y, Raschke MB (2008) Optical near-field
mapping of plasmonic nanoprisms. Nano Lett 8:3357–3363
49. Awada C, Popescu T, Douillard L, Charra F, Perron A, Yockell-Lelièvre H, Baudrion A-L, Adam
P-M, Bachelot R (2012) Selective excitation of plasmon resonances of single Au triangles by
polarization-dependent light excitation. J Phys Chem C 116:14591–14598
50. Viarbitskaya S, Teulle A, Marty R, Sharma J, Girard C, Arbouet A, Dujardin E (2013) Tailoring
and imaging the plasmonic local density of states in crystalline nanoprisms. Nat Mater 12:426–
432
51. Imura K, Ueno K, Misawa H, Okamoto H, McArthur D, Hourahine B, Papoff F (2014) Plasmon
modes in single gold nanodiscs. Opt Express 22:12189–12199
52. Nelayah J, Kociak M, Stéphan O, García de Abajo FJ, Tencé M, Henrard L, Taverna D,
Pastoriza-Santos I, Liz-Marzán LM, Colliex C (2007) Mapping surface plasmons on a single
metallic nanoparticle. Nat Phys 3:348–353
53. Nelayah J, Gu L, Sigle W, Koch CT, Pastoriza-Santos I, Liz-Marzán LM, van Aken PA (2009)
Direct imaging of surface plasmon resonances on single triangular silver nanoprisms at optical
wavelength using low-loss EFTEM imaging. Opt Lett 34:1003–1005
54. Nelayah J, Kociak M, Stéphan O, Geuquet N, Henrard L, García de Abajo FJ, Pastoriza-Santos
I, Liz-Marzán LM, Colliex C (2010) Two-dimensional quasistatic stationary short range surface
plasmons in flat nanoprisms. Nano Lett 10:902–907
55. Gu L, Sigle W, Koch CT, Ögüt B, van Aken PA, Talebi N, Vogelgesang R, Mu J, Wen X, Mao
J (2011) Resonant wedge-plasmon modes in single-crystalline gold nanoplatelets. Phys Rev B
83:195433
56. Schmidt F-P, Ditlbacher H, Hohenester U, Hohenau A, Hofer F, Krenn JR (2012) Dark
plasmonic breathing modes in silver nanodisks. Nano Lett 12:5780–5783
57. Schmidt FP, Ditlbacher H, Hofer F, Krenn JR, Hohenester U (2014) Morphing a plasmonic
nanodisk into a nanotriangle. Nano Lett 14:4810–4815
58. Kawasaki N, Meuret S, Weil R, Lourenço-Martins H, Stéphan O, Kociak M (2016) Extinction
and scattering properties of high-order surface plasmon modes in silver nanoparticles probed
by combined spatially resolved electron energy loss spectroscopy and cathodoluminescence.
ACS Photon 3:1654–1661
59. Campos A, Arbouet A, Martin J, Gérard D, Proust J, Plain J, Kociak M (2017) Plasmonic
breathing and edge modes in aluminum nanotriangles. ACS Photon 4:1257–1263
60. Imaeda K, Hasegawa S, Imura K (2018) Imaging of plasmonic eigen modes in gold triangular
mesoplates by near-field optical microscopy. J Phys Chem C 122:7399–7409
61. Li W-K, Blinder SM (1985) Solution of the Schrödinger equation for a particle in an equilateral
triangle. J Math Phys 26:2784–2786
62. Betzig E, Chichester RJ (1993) Single molecules observed by near-field scanning optical
microscopy. Science 262:1422–1425