Abstract
We revisit the total scatterings (in terms of extinction, scattering, and absorption cross sections) by arbitrary clusters of nonmagnetic particles that support optically induced magnetic responses. Our reexamination is conducted from the perspective of the electromagnetic duality symmetry, and it is revealed that all total scattering properties are invariant under duality transformations. This secures that, for self-dual particle clusters, the total scattering properties are polarization independent for any fixed incident direction, while, for non-self-dual particle clusters, two scattering configurations that are connected to each other through a duality transformation would exhibit identical scattering properties. This electromagnetic duality induced invariance is irrelevant to specific particle distributions or wave incident directions, which is illustrated for both random and periodic clusters.
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