Open AccessBoundary element method for surface nonlinear optics of nanoparticles
Author(s) -
Jouni Mäkitalo,
Saku Suuriniemi,
Martti Kauranen
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.023386
Subject(s) - multipole expansion , nonlinear system , nonlinear optics , polarization (electrochemistry) , optics , galerkin method , boundary value problem , basis function , second harmonic generation , physics , boundary element method , physical optics , frequency domain , materials science , nanoparticle , surface (topology) , classical mechanics , mathematical analysis , finite element method , geometry , mathematics , laser , quantum mechanics , chemistry , thermodynamics
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.