A solution is found of the dispersion equation for a classical oscillator in the vicinity of a dielectric microsphere in the case of strong electromagnetic coupling. The solution obtained agrees with the corresponding quantum-mechanical solution obtained within the framework of the dressed states approach and presents a clear signature of the vacuum Rabi splitting of the energy levels in real systems. Based on this solution, a qualitative expression is found for the intensity of the resultant line doublet.
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Климов et al. (1997) studied this question.
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