Abstract
The recently developed general ab initio theory of nanoparticle-induced modifications of the spectrum of whispering gallery modes of optical spheroidal resonators is applied to the case in which distinct particle-induced resonances overlap and cannot be resolved. This situation occurs in the case of resonances with low Q-factors and/or ultra-small particles. The position of the single resonance observed in these situations depends on the strengths and widths of the overlapping resonances. We determine this position by considering the spectral characteristics of the total power scattered by the resonator. The obtained theoretical results are compared against the available experimental data and heuristic theories.
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