Mie Scattering Theory for Identifying Surface Plasmon Resonances (SPR) by the Finite-Size Model: Theoretical Study of Gold-Silver Core–Shell Nanospheres

The Mie scattering theory investigates the optical, electric, and magnetic properties of the gold nanospheres. It explains the nanospheres plasmonic phenomenon in a vacuum and metallic medium by using the finite-size model. It also investigated the effect of particle radius on these properties by varying the radius from 10 to 50 nm. We reported that the optical efficiency shows the existence of plasmon surrounding the nanoparticle, and the polarizability explains the quantity of the plasmon. In addition, the polarizability increases at the specific incident energy of electromagnetic waves which indicated the existence of the plasmon surrounding the nanosphere particle.