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Core-satellite structures are known to exhibit magnetic modes at opticalfrequencies and their characterization is important for the development ofmetamaterials and metafluids. We develop a finite-difference time-domainelectrodynamics simulation and multipolar analysis approach and apply it toidentify the electric and magnetic multipolar nature of modes excited incore-satellite structures composed of silver nanoparticles decorated ondielectric spheres. In addition to excitation with linearly polarized scalarbeams, we investigate the scattering and multipolar properties induced bycylindrical vector beams. In contrast to linearly polarized beams, the natureof the polarization state in these beams (radial, azimuthal, or "shear") canselectively excite, enhance, and rotate a family of multipolar modes.Displacement currents induced in the nanoparticle gaps are investigated tobetter understand the nature of these excitations. We show that the efficiencyof driving these modes depends on nanoparticle density and placement. Wepropose that selective magnetic and electric excitations can be codified as"selection rules" associated with the symmetries of the beams and particles.

Multipolar analysis of electric and magnetic modes excited by vector beams in core-satellite nano-structures