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A thorough analysis of the emission via the magnetic dipole (MD) transition,called magnetic light below, of trivalent rare-earth ions in or near dielectrichomogeneous spheres has been performed. In the search for enhancement offluorescence from magnetic light, one faces the difficult task of identifyingthe regions where the combined fluorescence due to multiple electric dipole(ED) transitions becomes negligible compared to the fluorescence of the MDtransition. We have succeeded in identifying a number of configurations withdielectric sphere parameters and a radial position of a trivalent rare-earthemitter wherein the branching ratio of the MD transition approaches its limitof one, implying that transitions from a given initial level (e.g.,$^5$D$_0$-level of Eu$^{3+}$) are completely dominated by the MD transition.The dimensionless directivity of the MD emission, the radiative decay rates,and the fluorescence of the magnetic light can be increased by a factor of morethan $25$, $10^3$, and $10^4$, respectively.

Generation of nearly pure and highly directional magnetic light in fluorescence of rare earth ions