Splitting of Plasmon Frequency in Spherical Metal Nanoparticles in Anisotropic Medium

The problem of plasmon resonance in spherical metal nanoparticles incorporated into an anisotropic dielectric medium is studied theoretically. Analytic solution is obtained in long-wavelength approximation for the case of weak uniaxial anisotropy. It is shown that medium anisotropy causes shifts of plasmon frequency from its position in an isotropic medium, which are different for plasmons with dipole momenta parallel and perpendicular to the axis of the medium. For the parallel and perpendicular orientations, which are determined by polarization of incident light, plasmon shifts differ by a factor of 4/3. Analytic expressions for field enhancement in the vicinity of a metal nanoparticle is obtained and analyzed for the cases of noble metals. The perspectives of experimental check of the obtained results and possible applications of plasmon anisotropy in plasmonics and sensorics are discussed.