Microellipsometric investigations of metal–insulator–metal (MIM) structures with regular square lattices of nanocylinders as one metallic layer are presented together with a theoretical description of all dipolar interactions in such a system. A comparison between the theoretical and experimental results is made, which clearly demonstrates the influence of surface plasmon on the optical properties of such MIM systems. The hybridization of localized and surface plasmon modes is revealed.
REFERENCES
1.
2.
S. A.
Maier
, Plasmonics: Fundamentals and Applications
(Springer
, New York
, 2007
).3.
A.
Trügler
, Optical Properties of Metallic Nanoparticles
(Springer
, New York
, 2016
).4.
E. C.
Le Ru
and P. G.
Etchegoin
, Principles of Surface-Enhanced Raman Spectroscopy and Related Plasmonic Effects
(Elsevier
, Amsterdam
, 2009
).5.
R.
Aroca
, Surface-enhanced Vibrational Spectroscopy
(Wiley
, Chichester
, 2006
).6.
Surface Plasmon Enhanced, Coupled and Controlled Fluorescence
, edited by C. D.
Geddes
(Wiley
, Hoboken
, NJ
, 2017
).7.
F.
Neubrech
, C.
Huck
, K.
Weber
, A.
Pucci
, and H.
Giessen
, “Surface-enhanced infrared spectroscopy using resonant nanoantennas
,” Chem. Rev.
117
, 5110
–5145
(2017
). 8.
Surface Plasmon Resonance Based Sensors
, edited by J.
Homola
(Springer
, Berlin
, 2006
).9.
Nanoplasmonic Sensors
, edited by A.
Dmitriev
(Springer
, New York
, 2012
).10.
K. L.
Kelly
, E.
Coronado
, L. L.
Zhao
, and G. C.
Schatz
, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment
,” J. Phys. Chem. B
107
, 668
–677
(2003
). 11.
J. A.
Dionne
, L. A.
Sweatlock
, H. A.
Atwater
, and A.
Polman
, “Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localization
,” Phys. Rev. B
73
, 035407
(2006
). 12.
J.
Jung
, T.
Søndergaard
, and S. I.
Bozhevolnyi
, “Gap plasmon-polariton nanoresonators: Scattering enhancement and launching of surface plasmon polaritons
,” Phys. Rev. B
79
, 035401
(2009
). 13.
T.
Kume
, S.
Hayashi
, and K.
Yamamoto
, “Light emission from surface plasmon polaritons mediated by metallic fine particles
,” Phys. Rev. B
55
, 4774
–4782
(1997
). 14.
J. A.
Porto
, P.
Johansson
, S. P.
Apell
, and T.
López-Ríos
, “Resonance shift effects in apertureless scanning near-field optical microscopy
,” Phys. Rev. B
67
, 085409
(2003
). 15.
B.
Pettinger
, K. F.
Domke
, D.
Zhang
, R.
Schuster
, and G.
Ertl
, “Direct monitoring of plasmon resonances in a tip-surface gap of varying width
,” Phys. Rev. B
76
, 113409
(2007
). 16.
R.
Nicolas
, G.
Lévêque
, J.
Marae-Djouda
, G.
Montay
, Y.
Madi
, J.
Plain
, Z.
Herro
, M.
Kazan
, P.-M.
Adam
, and T.
Maurer
, “Plasmonic mode interferences and Fano resonances in metal-insulator-metal nanostructured interface
,” Sci. Rep.
5
, 14419
(2015
). 17.
F.
Dai
, A.
Horrer
, P.-M.
Adam
, and M.
Fleischer
, “Accessing the hotspots of cavity plasmon modes in vertical metal–insulator–metal structures for surface enhanced Raman scattering
,” Adv. Opt. Mater.
8
, 1901734
(2020
). 18.
S.
Linden
, J.
Kuhl
, and H.
Giessen
, “Controlling the interaction between light and gold nanoparticles: Selective suppression of extinction
,” Phys. Rev. Lett.
86
, 4688
–4691
(2001
). 19.
Y.
Chu
and K. B.
Crozier
, “Experimental study of the interaction between localized and propagating surface plasmons
,” Opt. Lett.
34
, 244
–246
(2009
). 20.
I.
Iezhokin
, O.
Keller
, and V.
Lozovski
, “Induced light emission from quantum dots: The directional near-field pattern
,” J. Comput. Theor. Nanosci.
7
, 281
–288
(2010
). 21.
M.
Meier
, A.
Wokaun
, and P. F.
Liao
, “Enhanced fields on rough surfaces: Dipolar interactions among particles of sizes exceeding the Rayleigh limit
,” J. Opt. Soc. Am. B
2
, 931
–949
(1985
). 22.
J.
Venermo
and A.
Sihvola
, “Dielectric polarizability of circular cylinder
,” J. Electrost.
63
, 101
–117
(2005
). 23.
R.
Gans
, “Űber die form ultramikroskopischer silberteilchen
,” Ann. Phys.
47
, 270
–284
(1915
). 24.
25.
E. C.
Stoner
, “The demagnetizing factors for ellipsoids
,” Philos. Mag.
36
, 803
–821
(1945
). 26.
G.
Mie
, “Beiträge zur optik trüber medien, speziell kolloidaler metallösungen
,” Ann. Phys.
25
, 377
–445
(1908
). 27.
S.
Asano
and G.
Yamamoto
, “Light scattering by a spheroidal particle
,” Appl. Opt.
14
, 29
–49
(1975
). 28.
N. V.
Voshchinnikov
and V. G.
Farafonov
, “Optical properties of spheroidal particles
,” Astrophys. Space Sci.
204
, 19
–86
(1993
). 29.
M.
Meier
and A.
Wokaun
, “Enhanced fields on large metal particles: Dynamic depolarization
,” Opt. Lett.
8
, 581
–583
(1983
). 30.
H.
Kuwata
, H.
Tamaru
, K.
Esumi
, and K.
Miyano
, “Resonant light scattering from metal nanoparticles: Practical analysis beyond Rayleigh approximation
,” Appl. Phys. Lett.
83
, 4625
–4627
(2003
). 31.
A.
Moroz
, “Depolarization field of spheroidal particles
,” J. Opt. Soc. Am. B
26
, 517
–527
(2009
). 32.
A.
Sommerfeld
, “Über die ausbreitung der wellen in der drahtlosen telegraphie
,” Ann. Phys.
28
, 665
–736
(1909
). 33.
H.
Weyl
, “Ausbreitung elektromagnetischer wellen über einem ebenen leiter
,” Ann. Phys.
60
, 481
–500
(1919
). 34.
M.
Paulus
, P.
Gay-Balmaz
, and O. J. F.
Martin
, “Accurate and efficient computation of the Green’s tensor for stratified media
,” Phys. Rev. E
62
, 5797
–5807
(2000
). 35.
B.
Wang
and C. H.
Woo
, “Atomic force microscopy-induced electric field in ferroelectric thin films
,” J. Appl. Phys.
94
, 4053
–4059
(2003
). 36.
S. G.
Moiseev
and S. V.
Sukhov
, “Near-field optical microscopy in the presence of an intermediate layer
,” Opt. Spectrosc.
98
, 308
–313
(2005
). 37.
B.
Hauer
, A. P.
Engelhardt
, and T.
Taubner
, “Quasi-analytical model for scattering infrared near-field microscopy on layered systems
,” Opt. Express
20
, 13173
–13188
(2012
). 38.
L. M.
Zhang
, G. O.
Andreev
, Z.
Fei
, A. S.
McLeod
, G.
Dominguez
, M.
Thiemens
, A. H.
Castro-Neto
, D. N.
Basov
, and M. M.
Fogler
, “Near-field spectroscopy of silicon dioxide thin films
,” Phys. Rev. B
85
, 075419
(2012
). 39.
J. M.
Vigoureux
and D.
Courjon
, “Detection of nonradiative fields in light of the Heisenberg uncertainty principle and the Rayleigh criterion
,” Appl. Opt.
31
, 3170
–3177
(1992
). 41.
R. M. A.
Azzam
and N. M.
Bashara
, Ellipsometry and Polarized Light
(North Holland
, Amsterdam
, 1977
).42.
K.
Jang
and W.
Jhe
, “Nonglobal model for a near-field scanning optical microscope using diffraction of the optical near field
,” Opt. Lett.
21
, 236
–238
(1996
). 43.
E. G.
Bortchagovsky
, T. O.
Mishakova
, and K.
Hingerl
, “Ellipsometry of monolayers of metallic nanoparticles taking into account depolarization
,” Thin Solid Films
571
, 625
–630
(2014
). 44.
45.
G.
Floquet
, “Sur les équation différentielles linéaries à coefficients périodiques
,” Ann. Sci. de l'Ecole Norm. Superieure
12
, 47
–88
(1883
). 46.
T.
Yamaguchi
, S.
Yoshida
, and A.
Kinbara
, “Effect of retarded dipole-dipole interactions between island particles on the optical plasma-resonance absorption of a silver-island film
,” J. Opt. Soc. Am.
64
, 1563
–1568
(1974
). 47.
G. F.
Walsh
, C.
Forestiere
, and L.
Dal Negro
, “Plasmon-enhanced depolarization of reflected light from arrays of nanoparticle dimers
,” Opt. Express
19
, 21081
–21090
(2011
). 48.
V. A.
Markel
, “Coupled-dipole approach to scattering of light from a one-dimensional periodic dipole structure
,” J. Mod. Opt.
40
, 2281
–2291
(1993
). 49.
B. N. J.
Perrson
, “Lateral interactions in small particle systems
,” J. Phys. Colloq.
44
, C10-409
–C10-420
(1983
). 50.
E. G.
Bortchagovsky
and U. C.
Fischer
, “On the modulation of optical transmission spectra of thin dye layers by a supporting medium
,” J. Chem. Phys.
117
, 5384
–5392
(2002
). 51.
E. G.
Bortchagovsky
, U. C.
Fischer
, and H.
Fuchs
, “The shape of transmission spectra of thin films deposited on a substrate
,” J. Chem. Phys.
120
, 5849
–5850
(2004
). 52.
H. R.
Stuart
and D. G.
Hall
, “Enhanced dipole-dipole interaction between elementary radiators near a surface
,” Phys. Rev. Lett.
80
, 5663
–5666
(1998
). 53.
Y.
Nishijima
, L.
Rosa
, and S.
Juodkazis
, “Surface plasmon resonances in periodic and random patterns of gold nano-disks for broadband light harvesting
,” Opt. Express
20
, 11466
–11477
(2012
). 54.
D. E.
Aspnes
, “Local-field effects and effective-medium theory: A microscopic perspective
,” Am. J. Phys.
50
, 704
–709
(1982
). 55.
E. G.
Bortchagovsky
, A.
Dejneka
, L.
Jastrabik
, V. Z.
Lozovski
, and T. O.
Mishakova
, “Deficiency of standard effective-medium approximation for ellipsometry of layers of nanoparticles
,” J. Nanomater.
2015
, 602844
(2015
). 56.
M.
Schubert
, “Polarization-dependent optical parameters of arbitrarily anisotropic homogeneous layered systems
,” Phys. Rev. B
53
, 4265
–4274
(1996
). 57.
M.
Schubert
, “Theory and application of generalized ellipsometry
,” in Handbook of Ellipsometry
, edited by H. G.
Tompkins
and E. A.
Irene
(William Andrew Publishing
, 2005
), pp. 637
–717
.58.
W.
Hampe
, “Beitrag zur deutung der anomalen optischen eigenschaften feinstteiliger metallkolloide in groβer konzentration
,” Z. Phys.
152
, 476
–494
(1958
). 59.
S.
Yamaguchi
, “The resonance type absorption of very thin silver and gold films
,” J. Phys. Soc. Jpn
15
, 1577
–1585
(1960
). 60.
A.
Rueda
, M.
Stemmler
, R.
Bauer
, Y.
Fogel
, K.
Müllen
, and M.
Kreiter
, “Localized plasmons seen by propagating surface plasmons: Unique determination of their dielectric response
,” J. Phys. Chem. C
112
, 14801
–14811
(2008
). 61.
E.
Bortchagovsky
, “Plasmonic coupling and how standard ellipsometry can feel surface plasmon
,” J. Vac. Sci. Technol. B
38
, 013603
(2020
). 62.
I.
Pockrand
, “Surface plasma oscillations at silver surfaces with thin transparent and absorbing coatings
,” Surf. Sci.
72
, 577
–588
(1978
). 63.
J.
Topping
, “On the mutual potential energy of a plane network of doublets
,” Proc. R. Soc. London Ser. A
114
, 67
–72
(1927
). 64.
D. V.
Sivukhin
, “Molecular theory of reflection and refraction of light
,” Zh. Eksp. Teor. Fiz. SSSR
18
, 976
–994
(1948
); “Elliptical polarization of light reflected from liquids”, ibid. 21, 367
–376
(1951
).65.
B. M. E.
Van der Hoff
and G. C.
Benson
, “A method for the evaluation of some lattice sums occurring in calculations of physical properties of crystals
,” Can. J. Phys.
31
, 1087
–1094
(1953
). 66.
A.
Bagchi
, R. G.
Barrera
, and R.
Fuchs
, “Local field effect in optical reflectance from adsorbed overlayers
,” Phys. Rev. B
25
, 7086
–7096
(1981
). 67.
G. D.
Mahan
and A. A.
Lucas
, “Collective vibrational modes of adsorbed CO
,” J. Chem. Phys.
68
, 1344
–1348
(1978
). 68.
B. R. A.
Nijboer
and F. W.
de Wette
, “On the calculation of lattice sums
,” Physica
23
, 309
–321
(1957
). 69.
T.
Yamaguchi
, S.
Yoshida
, and A.
Kinbara
, “Optical effect of the substrate on the anomalous absorption of aggregated silver films
,” Thin Solid Films
21
, 173
–187
(1974
). © 2021 Author(s).
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