  Dynamic metamolecules (DMMs) are composed of a dielectric core made of
hydrogel surrounded by plasmonic beads that display magnetic resonances when
excited by light at optical frequencies. Their optical properties can be
controlled by controlling their core diameter by varying temperature. We have
recently shown that DMMs display strong optical magnetism, including magnetic
dipole and magnetic quadrupole resonances, offering significant potential for
novel applications. Here, we use a T-matrix approach to characterize the high
order magnetic modes of model metamolecules and confirm the presence of these
modes in experiments. We show that higher order modes become prominent as the
bead size and the overall structure size grows larger, and when the core size
or the inter-bead distance is decreased. We also show that in this limit, mode
mixing among these higher order magnetic modes becomes significant in the
directional scattering spectrum. We discuss trends in magnetic modes observed
in both experiments and simulations and provide suggestions for experimental
design and verification of high-order optical magnetic resonances. We
demonstrate that the angular scattering of higher-order magnetic modes display
Fano-like interference patterns that should be experimentally detactable.
