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