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We consider a theoretical model for laser cooling with anti-Stokes fluorescence of a Yb3+:YAG sample. We have estimated the fluorescence power density removed from the system with spontaneous emission, the power density radiated with stimulated emission as well as the heat power density generated in the system by non-radiative decays from the impurities in the host material. We have investigated the influence of each of these power densities on the cooling process in Yb3+:YAG system. It has been shown how the temperature dependences of the different parameters of the system as well as the concentration of the impurities in the host influence the final temperature of the cooled sample.
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Galina Nemova, Raman Kashyap, "Temperature dynamics of laser cooling of solids with Yb3+ ions," Proc. SPIE 9000, Laser Refrigeration of Solids VII, 90000H (19 February 2014); https://doi.org/10.1117/12.2038447