Abstract
The spectra of light reflection by plasmonic metal films deposited in vacuum on dielectric substrates and subsequently annealed at high temperatures are investigated. To explain the optical properties of plasmonic films, a theoretical model of a plane-layered metal-dielectric medium is used. One of the layers of such a structure has the dielectric constant of the metal under study, and the second layer has the dielectric constant calculated within the Maxwell-Garnett approximation for a heterogeneous medium consisting of a suspension of metallic nanoellipsoids in air. The introduction of this layer makes it possible to qualitatively take into account the inhomogeneities of the plasmon film surface. It is shown that the developed model allows a number of features in the experimental reflection spectra to be explained.
Similar content being viewed by others
REFERENCES
S. V. Gaponenko, Phys. Rev. B 65, 140303 (2002). https://doi.org/10.1103/PhysRevB.65.140303
K. Kneipp, Phys. Today 60, 40 (2007). https://doi.org/10.1063/1.2812122
M. I. Stockman, Phys. Today 64, 39 (2011). https://doi.org/10.1063/1.3554315
M. L. Juan, M. Righini, and R. Quidant, Nat. Photon. 5, 349 (2011). https://doi.org/10.1038/nphoton.2011.56
J. Leuthold, C. Hoessbacher, S. Muehlbrandt, A. Melikyan, M. Kohl, C. Koos, W. Freude, V. Dolores-Calzadilla, M. Smit, I. Suarez, J. Martínez-Pastor, E. P. Fitrakis, and I. Tomkos, Opt. Photon. News 24, 28 (2013). https://doi.org/10.1364/OPN.24.5.000028
A. Tittl, H. Giessen, and N. Liu, Nanophotonics 3, 157 (2014). https://doi.org/10.1515/nanoph-2014-0002
J. C. Ndukaife, A. V. Kildishev, A. G. A. Nnanna, V. M. Shalaev, S. T. Wereley, and A. Boltasseva, Nat. Nanotechnol. 11, 53 (2015). https://doi.org/10.1038/nnano.2015.248
N. R. Fong, P. Berini, and R. N. Tait, Nanoscale 8, 4284 (2016). https://doi.org/10.1039/C5NR08001K
Yu. I. Petrov, Clusters and Small Particles (Nauka, Moscow, 1986) [in Russian].
A. Heilmann, Polymer Films with Embedded Metal Nanoparticles (Springer, Berlin, Heidelberg, 2003).
V. A. Markel, J. Opt. Soc. Am. A 33, 1244 (2016). https://doi.org/10.1364/JOSAA.33.001244
J. C. Maxwell-Garnett, Philos. T. R. Soc. A 203, 385 (1904). https://doi.org/10.1098/rsta.1904.0024
H. Wei and H. Eilers, J. Phys. Chem. Solids 70, 459 (2009). https://doi.org/10.1016/j.jpcs.2008.11.012
Optical Characterization of Real Surfaces and Films: Advances in Research and Development, Ed. by K. Vedam, M. H. Francombe, and J. L. Vossen (Academic, London, 1994).
J. Vieaud, O. Merchiers, M. Rajaoarivelo, M. Warenghem, Y. Borensztein, V. Ponsinet, and A. Aradian, Thin Solid Films 603, 452 (2016). https://doi.org/10.1016/j.tsf.2016.02.022
X.-Y. Gao, H.-L. Feng, J.-M. Ma, Z.-Y. Zhang, J.‑X. Lu, Y.-S. Chen, S.-E. Yang, and J.-H. Gu, Phys. B (Amsterdam, Neth.) 405, 1922 (2010). https://doi.org/10.1016/j.physb.2010.01.076
Y. Zhang, X. Zhou, K. Cao, X. Chen, Z. Deng, S. Liu, B. Shan, and R. Chen, Thin Solid Films 593, 144 (2015). https://doi.org/10.1016/j.tsf.2015.09.056
K. M. Czajkowski, D. Świtlik, C. Langhammer, and T. J. Antosiewicz, Plasmonics 13, 2423 (2018). https://doi.org/10.1007/s11468-018-0769-4
G. Morales-Luna and M. Morales-Luna, Sci. Rep. 10, 5841 (2020). https://doi.org/10.1038/s41598-020-62706-4
E. Pedrueza, J. L. Valdés, V. Chirvony, R. Abargues, J. Hernández-Saz, M. Herrera, S. I. Molina, and J. P. Martínez-Pastor, Adv. Funct. Mater. 21, 3502 (2011). https://doi.org/10.1002/adfm.201101020
A. Feofanov, A. Ianoul, E. Kryukov, S. Maskevich, G. Vasiliuk, L. Kivach, and I. Nabiev, Anal. Chem. 69, 3731 (1997). https://doi.org/10.1021/ac970304c
A. E. German and G. A. Gachko, Vestn. Grodn. Univ. Yanki Kupaly, Ser. 2: Mat. Fiz. Inform. Vychisl. Tekh. Upravl., No. 2, 70 (2001).
G. Vasilyuk, S. Maskevich, and I. Sveklo, in Proceedings of the 3rd International Symposium on Advanced Infrared and Raman Spectroscopy, Vienna, Austria, July 5–9, 1998 (Vienna Univ. Technol., Vienna, 1998), p. 75.
J. A. Kong, Electromagnetic Wave Theory (Wiley, New York, 1986).
W. C. Chew, Waves and Fields in Inhomogeneous Media (IEEE Press, New York, 1995).
A. H. Sihvola and J. A. Kong, IEEE Trans. Geos. Remote Sens. 26, 420 (1988). https://doi.org/10.1109/36.3045
G. A. Niklasson, C. G. Granqvist, and O. Huderi, Appl. Opt. 20, 26 (1981). https://doi.org/10.1364/AO.20.000026
R. Wangberg, J. Elser, E. E. Narimanov, and V. A. Podolskiy, J. Opt. Soc. Am. B 23, 498 (2006). https://doi.org/10.1364/JOSAB.23.000498
B. Toal, M. McMillen, A. Murphy, W. Hendren, R. Atkinson, and R. Pollard, Mater. Res. Lett. 1, 015801 (2014). https://doi.org/10.1088/2053-1591/1/1/015801
X. Zhang and Y. Wu, Sci. Rep. 5, 7892 (2015). https://doi.org/10.1038/srep07892
A. N. Oraevskii and I. E. Protsenko, JETP Lett. 72, 445 (2000).
A. N. Oraevsky and I. E. Protsenko, Quantum Electron. 31, 252 (2001).
M. D. Anguelova, J. Geophys. Res. 113, C08001 (2008). https://doi.org/10.1029/2007JC004212
S.-B. Liu, E.-B. Wei, and X. Ding, J. Appl. Remote Sens. 7, 073598 (2013). https://doi.org/10.1117/1.JRS.7.073598
J. F. Pierson and C. Rousselot, Surf. Coat. Technol. 200, 276 (2005). https://doi.org/10.1016/j.surfcoat.2005.02.005
Van R. P. Duyne, J. C. Hulteen, and D. A. Treichel, J. Chem. Phys. 99, 2101 (1993). https://doi.org/10.1063/1.465276
P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972). https://doi.org/10.1103/PhysRevB.6.4370
C. J. Noguez, J. Phys. Chem. C 111, 3806 (2007). https://doi.org/10.1021/jp066539m
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1964).
Funding
The study was carried out within the framework of tasks 1.2.02 SRP “Photonics, opto- and microelectronics” and 3.03 SRP “Convergence—2020” with financial support from the Ministry of Education of the Republic of Belarus.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interest.
Additional information
Translated by N. Petrov
Rights and permissions
About this article
Cite this article
Askirka, V.F., Guzatov, D.V. & Maskevich, S.A. Reflection of Light from Gold and Silver Plasmon Films: A Comparison of Experiment and Theory. Opt. Spectrosc. 129, 261–269 (2021). https://doi.org/10.1134/S0030400X21020028
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X21020028