Telecommunications and Radio Engineering, 75 (15):1355-1367 (2016)
0040-2508/16/$35.00 ©2016 by Begell House, Inc. 1355
SOLID-STATE AND PLASMA RADIO PHYSICS
PLASMON IMAGING USING THE UMOV-
POYNTING VECTOR
*
E.A. Velichko
& A.P. Nickolaenko
O.Ya. Usikov Institute for Radiophysics and Electronics
of the National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine
Address all correspondence to E.A. Velichko E-mail: elena.vel80@gmail.com
The cylindrical sensors out of noble metals that exploit the plasmon surface resonance are
widely used in the bio-medical research and environmental explorations, so that studying their
characteristics in different wavelength bands is an actual task. We analyze the scattering of a
plane H-polarized electromagnetic wave in the visible range of wavelengths by a silver nano-
cylinder with a concentric dielectric coating. The arising plasmon resonances are treated using
both the conventional presentation of the spatial distribution of the field amplitude nearby the
object and by the spatial distribution of the Umov-Poynting vector. We demonstrate that
plasmon description by the Umov-Poynting vector has obvious advantages, as the standing and
the traveling waves become clearly visible together with the boundaries of the object outlined in
the spatial distribution. Unusual influence of the coating permittivity on the type of the
plasmon resonance and the relevant spatial field distribution is illustrated when a decrease of
the coating dielectric constant supports the quadruple hybrid resonance instead of the dipole
plasmon resonance.
KEY WORDS: electromagnetic wave scattering, plasmon resonance, Umov-
Poynting vector
1. INTRODUCTION
Plasmons are the surface waves associated with the vacuum-metal boundary, which
arise when the real part of dielectric constant of the metal is negative [1-8].
Permittivity of noble metals in the optical range was described in many papers by the
Drude formula
i
p
2
1 where is the circular frequency of the incident
electromagnetic wave,
p
is the effective plasma frequency, and is the effective
collision frequency of the charge carriers in the metal. The condition is held
*
Originally published in Radiophysics and Electronics, Vol. 7(21), No 2, 2016, pp. 79–86.