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There is considerable interest in collective effects in hybrid systems formedby molecular or atomic ensembles strongly coupled by an electromagneticresonance. For analyzing such collective effects, we develop an efficient andgeneral theoretical formalism based on the natural modes of the resonator. Themain strength of our approach is its generality and the high level ofanalyticity enabled by modal analysis, which allows one to model complex hybridsystems without any restriction on the resonator shapes or material properties,and to perform statistical computations to predict general properties that arerobust to spatial and polarization disorders. Most notably, we establish thatsuperradiant modes remain even after ensemble averaging and act as aninvisibility cloak with a spectral bandwidth that scales with the number ofoscillators and the spatially-averaged Purcell factor.

Collective scattering in hybrid nanostructures with many atomic oscillators coupled to an electromagnetic resonance