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A simple calculation method for photon statistics of frequency-filteredfields is proposed. This method, based on eigenvalue decompositions ofsuperoperators, allows us to study effects on the photon statistics of spectralfiltering by various types of filters, such as Gaussian and rectangular filtersas well as Lorentzian filters, which is not possible by conventionalapproaches. As an example, this method is applied to a simulation of quantumdot single-photon emitters, where we found the efficient choice of the filtertypes to have pure single photons depends on the excitation conditions i.e.incoherent or coherent (and resonant) excitations.

Eigenvalue decomposition method for photon statistics of frequency filtered fields and its applications to quantum dot emitters