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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 22 — Nov. 4, 2013
  • pp: 27344–27355

Blueshift of the surface plasmon resonance in silver nanoparticles: substrate effects

Søren Raza, Wei Yan, Nicolas Stenger, Martijn Wubs, and N. Asger Mortensen  »View Author Affiliations

Optics Express, Vol. 21, Issue 22, pp. 27344-27355 (2013)

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We study the blueshift of the surface plasmon (SP) resonance energy of isolated Ag nanoparticles with decreasing particle diameter, which we recently measured using electron energy loss spectroscopy (EELS) [1]. As the particle diameter decreases from 26 down to 3.5 nm, a large blueshift of 0.5 eV of the SP resonance energy is observed. In this paper, we base our theoretical interpretation of our experimental findings on the nonlocal hydrodynamic model, and compare the effect of the substrate on the SP resonance energy to the approach of an effective homogeneous background permittivity. We derive the nonlocal polarizability of a small metal sphere embedded in a homogeneous dielectric environment, leading to the nonlocal generalization of the classical Clausius–Mossotti factor. We also present an exact formalism based on multipole expansions and scattering matrices to determine the optical response of a metal sphere on a dielectric substrate of finite thickness, taking into account retardation and nonlocal effects. We find that the substrate-based calculations show a similar-sized blueshift as calculations based on a sphere in a homogeneous environment, and that they both agree qualitatively with the EELS measurements.

© 2013 OSA

OCIS Codes
(000.1600) General : Classical and quantum physics
(240.6680) Optics at surfaces : Surface plasmons
(260.3910) Physical optics : Metal optics
(160.4236) Materials : Nanomaterials
(250.5403) Optoelectronics : Plasmonics

ToC Category:

Original Manuscript: July 26, 2013
Revised Manuscript: September 20, 2013
Manuscript Accepted: September 20, 2013
Published: November 4, 2013

Virtual Issues
Vol. 9, Iss. 1 Virtual Journal for Biomedical Optics
Surface Plasmon Photonics (2013) Optics Express

Søren Raza, Wei Yan, Nicolas Stenger, Martijn Wubs, and N. Asger Mortensen, "Blueshift of the surface plasmon resonance in silver nanoparticles: substrate effects," Opt. Express 21, 27344-27355 (2013)

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