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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 23 — Nov. 7, 2011
  • pp: 23386–23399

Boundary element method for surface nonlinear optics of nanoparticles

Jouni Mäkitalo, Saku Suuriniemi, and Martti Kauranen  »View Author Affiliations

Optics Express, Vol. 19, Issue 23, pp. 23386-23399 (2011)

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We present the frequency-domain boundary element formulation for solving surface second-harmonic generation from nanoparticles of virtually arbitrary shape and material. We use the Rao-Wilton-Glisson basis functions and Galerkin’s testing, which leads to very accurate solutions for both near and far fields. This is verified by a comparison to a solution obtained via multipole expansion for the case of a spherical particle. The frequency-domain formulation allows the use of experimentally measured linear and nonlinear material parameters or the use of parameters obtained using ab-initio principles. As an example, the method is applied to a non-centrosymmetric L-shaped gold nanoparticle to illustrate the formation of surface nonlinear polarization and the second-harmonic radiation properties of the particle. This method provides a theoretically well-founded approach for modelling nonlinear optical phenomena in nanoparticles.

© 2011 OSA

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(190.2620) Nonlinear optics : Harmonic generation and mixing
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(250.5403) Optoelectronics : Plasmonics
(290.5825) Scattering : Scattering theory
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Nonlinear Optics

Original Manuscript: September 20, 2011
Revised Manuscript: October 14, 2011
Manuscript Accepted: October 14, 2011
Published: November 1, 2011

Jouni Mäkitalo, Saku Suuriniemi, and Martti Kauranen, "Boundary element method for surface nonlinear optics of nanoparticles," Opt. Express 19, 23386-23399 (2011)

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