Dependences of Dipole Plasmon Resonance Damping Constants on the Shape of Metallic Nanoparticles

  • P. M. Tomchuk Institute of Physics, Nat. Acad. of Sci. of Ukraine
  • D. V. Butenko Institute of Physics, Nat. Acad. of Sci. of Ukraine, National University of Kyiv-Mohyla Academy
Keywords: damping constants, plasmon resonances, metallic nanoparticles

Abstract

A theory describing the dependence of the damping constants of dipole plasmon resonances on the shape of metallic nanoparticles has been developed. Analytical expressions for the damping constants as functions of the ratio between the curvature radii are derived in the case of spheroidal particles and provided the dominating role of electron scattering at the surface. The corresponding plots are drawn. A considerable dependence of the damping constants on the nanoparticle shape is illustrated. It is shown that the incorporation of metallic nanoparticles of a certain shape into a dielectric matrix with a high dielectric permeability can lead to a resonance caused by the coincidence of the plasmon resonance frequency with the frequency of individual electron oscillations (between the potential walls). This resonance is responsible for the appearance of a quasi-oscillating dependence of the plasmon resonance damping constants on the nanoparticle size.

References

R.D. Fedorovich, A.G. Naumovets, and P.M. Tomchuk, Phys. Rep. 328, 73 (2000).

G.V. Hartland, Chem. Rev 111, 3858 (2011).

V.V. Klimov, Nanoplasmonics (Nauka, Moscow, 2012) (in Russian).

E.F. Venger, A.V. Goncharenko, and M.L. Dmitruk, Optics of Small Particles and Disperse Media (Naukova Dumka, Kyiv, 1999) (in Ukrainian).

N.G. Khlebtsov, Kvant. Elektron. 38, 6 (2008).

http://dx.doi.org/10.1070/QE2008v038n06ABEH013829

E.D. Belotskii and P.M. Tomchuk, Surf. Sci. 239, 143 (1990).

E.D. Belotskii and P.M. Tomchuk, Int. Electronics 69, 169 (1990).

U. Kreibig, Optical Properties of Metal Clusters (Springer, New York, 1995).

A. Pinchuk, U. Kreibig, New J. Phys 5, 151.1 (2003).

A. Pinchuk, G. von Plessen, and U. Kreibig, J. Phys. D 37, 3133 (2004).

P.M. Tomchuk and N.I. Grigorchuk, Phys. Rev. B 73, 155423 (2006).

N.I. Grigorchuk and P.M. Tomchuk, Phys. Rev. B 84, 085448 (2011).

P.M. Tomchuk and B.M. Tomchuk, Zh. Eksp. Teor. Fiz. 112, 661 (1997).

L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon Press, New York, 1984).

A.G. Lesskis, V.E. Pasternak, and A.A. Yushkanov, Zh. Eksp. Teor. Fiz. 83, 310 (1982).

M.I. Grigorchuk and P.M. Tomchuk, Ukr. Fiz. Zh. 51, 9 (2006).

A.G. Lesskis, A.A. Yushkanov, and Yu.I. Yalamov, Poverkhnost Fiz. Khim. Mekhan. 11, 11 (1987).

Published
2019-01-10
How to Cite
Tomchuk, P., & Butenko, D. (2019). Dependences of Dipole Plasmon Resonance Damping Constants on the Shape of Metallic Nanoparticles. Ukrainian Journal of Physics, 60(10), 1042. https://doi.org/10.15407/ujpe60.10.1042
Section
Nanosystems