Boundary element method for surface nonlinear optics of nanoparticles

Jouni Mäkitalo, Saku Suuriniemi, Martti Kauranen

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    91 Citations (Scopus)
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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.
    Translated title of the contributionBoundary element method for surface nonlinear optics of nanoparticles
    Original languageEnglish
    Pages (from-to)23386-23399
    JournalOptics Express
    Issue number23
    Publication statusPublished - 2011
    Publication typeA1 Journal article-refereed

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