Fractional-rational representation of the frequency spectrum of the scattered field for a Drude-metal nanowire resonating on localized surface plasmons

Abstract

The paper discusses the problem of determining the eigenfrequencies of surface plasmons for metal nanowire over the frequency spectrum of the scattered field. To determine the eigenfrequencies a fractional-rational approximation of the frequency spectrum based on continued fractions was used. Q-factors for lower and higher modes of the localized surface plasmons are investigated.