Size dependence of multipolar plasmon resonance frequencies and damping rates in simple metal spherical nanoparticles

Derkachova, A.; Kolwas, K.

doi:10.1140/epjst/e2007-00112-1

Cited by 51 publications

(45 citation statements)

References 16 publications

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“…We also need the dependency of the ω 0 as a function of the radius of the nanospheres. The plasmon dispersion relation of a single nanoparticle in the case of spherical boundary conditions can be derived from the following complex dispersion equation [5] …”

Section: Theoretical Modelmentioning

confidence: 99%

“…This modeling needs the natural self-resonance frequency as a function of the particle size for different nanoparticle geometries. This size-dependent resonance frequency of metallic nanoparticles is investigated in previous works [5,7]. We have incorporated the size-dependent natural self-resonance frequency of the single nanosphere to attain a precise model of network of nanoparticles based on the Brongersma's work.…”

Section: Introductionmentioning

confidence: 99%

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Compound Hertzian chain model for copper–carbon nanocomposites' absorption spectrum

et al. 2011

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Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Compound Hertzian chain model for copper–carbon nanocomposites' absorption spectrum

et al. 2011

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“…While for such large particles (compared to the light wavelength), the quasistatic approximation does not hold, we used the results of the rigorous size dependence modelling of the inherent particle plasmon size characteris− tics [29][30][31]. Using the Mie theory formalism we show, that the maxima in the total scattering or absorption spectra for such large particles (which are the manifestations of SP reso− nances), are blue shifted in respect to the plasmon resonance positions.…”

Section: Introductionmentioning

confidence: 99%

Dipole and quadrupole surface plasmon resonance contributions in formation of near-field images of a gold nanosphere

Shopa

Kolwas

Derkachova

et al. 2010

Opto-Electronics Review

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Multipolar plasmon optical excitations at spherical gold nanoparticles and their manifestations in the particle images formatted in the particle surface proximity are studied. The multipolar plasmon size characteristic: plasmon resonance frequencies and plasmon damping rates were obtained within rigorous size dependent modelling. The realistic, frequency dependent dielectric function of a metal was used. The distribution of light intensity and of electric field radial component at the flat square scanning plane scattered by a gold sphere of radius 95 nm was acquired. The images resulted from the spatial distribution of the full mean Poynting vector including near-field radial components of the scattered electromagnetic field. Monochromatic images at frequencies close to and equal to the plasmon dipole and quadrupole resonance frequencies are discussed. The changes in images and radial components of the scattered electromagnetic field distribution at the scanning plane moved away from the particle surface from near-field to far-field region are discussed.

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“…The well resolved spectral data about the size dependence of LSP were reported only for dipole plasmon resonance in nanoparticles of the size up to R≃75nm for gold and R≃25nm for silver [1,2]. Figure 1 shows the dependence of the dipole plasmon resonance frequency ω' l=1 (R) for gold and silver nanospheres resulting from our strict solutions of the dispersion relation, Eq.…”

mentioning

confidence: 97%

“…The spectra collected for nanoparticles of different sizes have been used as a source of experimental data allowing to reconstruct the dependence of the (mostly dipole only) resonance position on size (e.g. [1][2][3]). In [3,4] we discuss some problems arising from such an interpretation in more details and the reasons why Mie theory is not a handy tool in studying the size dependence of plasmon resonance frequencies.…”

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confidence: 99%

Simple analytic tool for spectral control of dipole plasmon resonance frequency for gold and silver nanoparticles

Kolwas

Derkachova

2013

Photon. Lett. Poland

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Abstract-We give a mathematically simple tool allowing to predict dipole localized surface plasmon resonance frequency as a function of size for gold and silver nanoparticles in water. We compare the results with our previous general study resulting from strict solutions of the eigenvalue problem of metal nanospheres embedded in various dielectrics.The excitation of localized surface plasmons (LSP) on metal nanospheres offers a variety of applications in nanotechnology, biophysics, biochemistry etc. One of the most attractive advantages of LSP's application is the local enhancement of the electromagnetic (EM) field in the very proximity of the nanosphere. This effect takes place when the frequency of an incoming light field corresponds to the characteristic resonance frequency of LSP. This property is applied in surface-enhanced Raman spectroscopy (SERS), high-resolution microscopy, improvement of plasmonic solar cells and many plasmonic applications such as non-diffraction-limited guiding of light (e.g. via a chain of gold nanospheres). Gold and silver nanoparticles are important components of many plasmonic devices due to their chemical inertness and unique optical properties in the visible and near-infrared spectral range. In contrast to a metal with a flat surface, the curved surface of a nanoparticle enables direct optical excitation of plasmon resonances. It has been demonstrated that the plasmon-related optical features are sensitive to the size, shape, and environment of nanoparticles. Such sensitivity permits to tune the optical response of nanoparticles, thus making them suitable for a wide range of applications in photonics and optoelectronics. The possibility of manipulating LSP frequency is very attractive in applications.Effective controlling of spectral properties of plasmonic nanospheres is not possible without knowing the direct dependence of LSP resonance frequency and resonance spectral width (defined by plasmon damping rates) on particle size.The solutions of Mie deliver indispensable formalism enabling to calculate the EM fields in the near and far field regions around a spherical particle illuminated by a plane monochromatic wave. The resulting light intensities as well as the absorption and extinction cross-sections can be found for chosen particle size. Mie theory supposes that the nanoparticles and the surrounding medium are homogeneous and characterized by bulk permittivity functions which are the outside parameters of the theory. The problem is solved in spherical coordinates where electromagnetic fields are expressed as infinite sums of the partial electromagnetic waves of the "electric" (or transverse magnetic (TM)) and "magnetic" (or transverse electric (TE)) type.Usually, the positions of successive peaks, appearing in the extinction or absorption spectra are interpreted as directly related to positions of surface plasmon resonances. The spectra collected for nanoparticles of different sizes have been used as a source of experimental data allowing to reconstruct the dependence of t...

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Size dependence of multipolar plasmon resonance frequencies and damping rates in simple metal spherical nanoparticles

Cited by 51 publications

References 16 publications

Compound Hertzian chain model for copper–carbon nanocomposites' absorption spectrum

Compound Hertzian chain model for copper–carbon nanocomposites' absorption spectrum

Dipole and quadrupole surface plasmon resonance contributions in formation of near-field images of a gold nanosphere

Simple analytic tool for spectral control of dipole plasmon resonance frequency for gold and silver nanoparticles

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