Quasi-Static Approximation for Numerical Computation of Plasmon Eigenfrequencies in Nanoparticles

Abstract

General physical properties of electrostatic (plasmon) resonances in nanoparticles are presented. Direct calculation of the resonance values of the permittivity of nanoparticles, and subsequently their resonance frequencies, through a boundary element method is discussed. An efficient numerical approach for the calculation of resonance frequencies of a spherical nanoparticle is developed and illustrated, which is compared with theoretical results. Results of numerical approach for a spherical nanoparticle in free space and on a silicon dioxide substrate are presented and discussed.