title: Boundary element method for surface nonlinear optics of nanoparticles.
abstract: 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.
authors: Department of Physics, Optics Laboratory, Tampere University of Technology, P. O. Box 692, FI-33101 Tampere, Finland. jouni.makitalo@tut.fi
authors: Jouni
authors: J
authors: Mäkitalo
authors: Saku
authors: S
authors: Suuriniemi
authors: Martti
authors: M
authors: Kauranen