Surface second-harmonic from metallic nanoparticle configurations - a transformation optics approach

Abstract

We study surface second-harmonic generation (SHG) from a singular plasmonic structure consisting of touching metallic wires. We use the technique of transformation optics and relate the structure to a rather simpler geometry, a slab waveguide. This allows us to obtain an analytical solution to the problem, revealing rich physical insights. We identify various conditions that govern the SHG efficiency. Importantly, our analysis demonstrates that apart from the mode-matching condition, phase-matching condition is relevant even for this sub-wavelength structure. Furthermore, we identify a geometric factor which was not identified before. We support our analysis with numerical simulations.

References in corpus (3)

• Calculation of material properties and ray tracing in transformation media
• Origin of optical second-harmonic generation in spherical gold nanoparticles: Local surface and nonlocal bulk contributions
• Revisiting the boundary conditions for second-harmonic generation at metal-dielectric interfaces