A Bayesian approach to luminescent down-conversion
Résumé
Photon conversion embodies a range of promising possibilities in pushing the theoretical Shockley-Queisser efficiency model of classical solar cells. Luminescent downconversion, despite its potential, is held back in practical applications by the difficulty of proper characterization, in no small part because of concurrent luminescent downshifting events. Recent advances have demonstrated the opportunity provided by photon correlation measurement for DC characterization. In this methodological work, we present a general method, based on Bayesian probabilities, for deriving auto-correlation functions analytically. This method is then applied to the five down-conversion mechanisms reported in the literature and successfully tested against numerical simulations. We show that the zero delay auto-correlation function can be the most direct way to demonstrate down-conversion and assess its efficiency. Our analysis offers additionally useful tools for the design of characterization experiments, and emphasizes some universal behavior valid for all reported conversion mechanisms.
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