Abstract

The scattering and absorption properties of metal particles smaller than the wavelength are described. In particular, the surface plasmon resonance in gold and silver nanoparticles is mentioned. In Sec. 1 the dielectric function of noble metals, including the size effect is described. In Sec. 2 the scattering problem for a small metal sphere is solved using the static approximation and the exact Mie theory. In particular, the details of the near-field of the sphere are mentioned. Spectra of scattering, absorption, and near-field scattering cross sections are plotted. In Sec. 3 the scattering by ellipsoids is described. In Sec. 4 the scattering by coated spheres and metal shell particles are described. In Sec. 5 and 6 the scattering by a sphere above the substrate and two adjacent identical spheres is described. In the last section an optical sensor is mentioned as an application of the surface plasmon resonance in gold nanoparticles.

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