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In this article, we propose a concise theoretical framework based on mixedfield-susceptibilities to describe the decay of magnetic dipoles induced bynon--magnetic nanostructures. This approach is first illustrated in simplecases in which analytical expressions of the decay rate can be obtained. Wethen show that a more refined numerical implementation of this formalisminvolving a volume discretization and the computation of a generalizedpropagator can predict the dynamics of magnetic dipoles in the vicinity ofnanostructures of arbitrary geometries. We finally demonstrate the versatilityof this numerical method by coupling it to an evolutionary optimizationalgorithm. In this way we predict a structure geometry which maximally promotesthe decay of magnetic transitions with respect to electric emitters.

Decay Rate of Magnetic Dipoles near Non-magnetic Nanostructures