Impedance formulation of single oscillating nanospheres at optical frequencies

In this paper, we present an accurate impedance representation of a nanosphere oscillating at optical frequencies. The model utilizes spherical surface charge characterization of the dominant mode to develop an equivalent impedance model. The proposed model develop a LC based surface plasmon resonance expression for metallic nanoparticles, thereby providing basic building blocks to develop electronic circuit models of more complex plasmon-based structures. The simulation results demonstrate that our model provides an accurate closed-form solution for typical sizes of nanosphere.