Magnetic Mie resonances in negative-index medium

High-refractive-index nanoantennas have attracted significant attention lately because of the strong excitations of electric and magnetic resonances in these nanoantennas. Here, we theoretically investigate the excitation of multipolar Mie resonances in high-refractive-index nanoantennas that are immersed in a negative-index medium. Our analysis shows a significant enhancement of magnetic resonances in this case. Furthermore, the magnetic dipolar and quadrupolar resonances exhibit a π-shift compared to these magnetic resonances in a conventional medium, which stems from the “left-handedness” of the negative-index medium. As a result, the spectral regions where electric and magnetic resonances are in-phase or out-of-phase complement, or opposite, to those in a conventional medium. Most importantly, we demonstrate nanoantenna magnetic resonances in two practical cases of negative-index media realized with common materials, such as multilayer structures with surface waves with negative effective mode index and fishnet metamaterial. These findings represent significant progress toward the realization of hybrid emitting structures that exhibit transitions with both electric and magnetic dipolar characteristics and pave the way for greater flexibility in controlling radiation patterns from quantum emitters.