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Model of laser-induced temperature changes in solid-state optical refrigerators

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4 Author(s)
Patterson, W.M. ; Physics and Astronomy, The University of New Mexico, 800 Yale Blvd. NE, Albuquerque, New Mexico 87131, USA ; Sheik-Bahae, M. ; Epstein, R.I. ; Hehlen, M.P.

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We present an efficient and numerically stable method to calculate time-dependent, laser-induced temperature distributions in solids and provide a detailed description of the computational procedure and its implementation. This study combines the two-dimensional heat equation with laser-induced heat generation and temperature-dependent luminescence. The time-dependent optical response of a system is obtained numerically by the Crank–Nicolson method. This general model is applied to the specific case of optical refrigeration in ytterbium (Yb3+) doped fluorozirconate glass (ZBLAN). The laser-induced temperature change upon optical pumping and the respective transient luminescence response are calculated and compared to experimental data. The model successfully predicts the zero-crossing temperature, the net quantum efficiency, and the functional shape of the transients. We find that the laser-cooling transients have a fast and a slow component that are determined by the excited-state lifetime of the luminescent ion and the thermal properties of the bulk, respectively. The tools presented here may find application in the design of a wide range of optical and optoelectronic devices.

Published in:

Journal of Applied Physics  (Volume:107 ,  Issue: 6 )