TY - JOUR

T1 - Scattering of surface-plasmon polaritons by a localized dielectric surface defect studied using an effective boundary condition

AU - Baumeier, B.

AU - Huerkamp, F.

AU - Leskova, T.A.

AU - Maradudin, A.A.

PY - 2011/7/12

Y1 - 2011/7/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79961104004&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.84.013810

DO - 10.1103/PhysRevA.84.013810

M3 - Article

AN - SCOPUS:79961104004

VL - 84

JO - Physical Review A : Atomic, Molecular and Optical Physics

JF - Physical Review A : Atomic, Molecular and Optical Physics

SN - 1050-2947

IS - 1

M1 - 013810

ER -