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Scattering of surface-plasmon polaritons by a localized dielectric surface defect studied using an effective boundary condition

Journal Article · · Physical Review. A
 [1];  [2]; ;  [3]
  1. Max Planck Institute for Polymer Research, Ackermannweg 10, D-55128 Mainz (Germany)
  2. Institut fuer Festkoerpertheorie, Westfaelische Wilhelms-Universitaet Muenster, Wilhelm-Klemm-Strasse 10, D-48149 Muenster (Germany)
  3. Department of Physics and Astronomy and Institute for Surface and Interface Science, University of California, Irvine, California 92697 (United States)
+ Show Author Affiliations

By the use of an effective boundary condition we derive a two-dimensional integral equation for the scattering amplitude in the Rayleigh representation of the electric field of a surface-plasmon polariton scattered from a two-dimensional dielectric surface defect. This integral equation is transformed into a set of coupled one-dimensional integral equations by representing the dependence of the amplitude on the azimuthal angle by means of a rotational expansion. Exemplifying the usefulness of this approach, numerical results are obtained for defects of the shape of an anisotropic Gaussian function and a hemiellipsoid with a finite footprint when the surface-plasmon polariton incident on the defect from an arbitrary direction is either a plane wave or a Gaussian beam. Inspecting the near-field distribution of the radiation caused by the scattering, we find a localized increase of surface-plasmon polariton intensity in the vicinity of the dielectric defect, which indicates a focusing for both forms of the incident surface-plasmon polariton.

OSTI ID:
22058769
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
97 MATHEMATICS AND COMPUTING
ANISOTROPY
BOUNDARY CONDITIONS
DIELECTRIC MATERIALS
ELECTRIC FIELDS
GAUSS FUNCTION
INTEGRAL EQUATIONS
ONE-DIMENSIONAL CALCULATIONS
POLARONS
SCATTERING
SCATTERING AMPLITUDES
SURFACES
TWO-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION