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We present a theory of the local field corrections to the spontaneousemission rate for the array of silicon nanocrystals in silicon dioxide. Ananalytical result for the Purcell factor is obtained. We demonstrate that thelocal-field corrections are sensitive to the volume fill factor of thenanocrystals in the sample and are suppressed for large values of the fillfactor. The local-field corrections and the photonic density of states areshown to be described by two different effective permittivities: the harmonicmean between the nanocrystal and the matrix permittivities and theMaxwell-Garnett permittivity.

Local field corrections to the spontaneous emission in arrays of Si nanocrystals