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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 108–116

Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method

Jiunn-Woei Liaw  »View Author Affiliations

JOSA A, Vol. 23, Issue 1, pp. 108-116 (2006)

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A set of new surface integral equations (Fredholm equations of the second kind) has been systematically derived from the Stratton–Chu formulation of Maxwell’s equations for a two-dimensional TM mode to investigate the interactions of an incident electromagnetic wave with nanostructures, especially metals. With these equations, the surface components (the tangential magnetic field, the normal displacement, and the tangential electric field) on the boundary are solved simultaneously by the boundary-element method numerically. For nanometer-sized structures (e.g., dimension of 10 nm ), our numerical results show that surface plasmon resonance causes a strong near-field enhancement of the electric field within a shallow region close to the interface of metal and dielectric. In addition, the corresponding pattern of the far-field scattering cross section is like a dipole. For the submicrometer-sized cases (dimension of several hundreds of nanometers), the numerical results indicate the existence of a standing wave on the backside surface of metals. This phenomenon could be caused by two surface plasmon waves that creep along the contour of metals clockwise and counterclockwise, respectively, and interfere with each other.

© 2006 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(240.6680) Optics at surfaces : Surface plasmons
(260.2110) Physical optics : Electromagnetic optics
(290.5850) Scattering : Scattering, particles

ToC Category:
Optics at Surfaces

Jiunn-Woei Liaw, "Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method," J. Opt. Soc. Am. A 23, 108-116 (2006)

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