22 April 2008 Numerical rate equation modelling of a 1.61 μm pumped ~2 μm Tm3+-doped tellurite fibre laser
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Abstract
Near- and mid-infrared fibre lasers find many applications in areas such as remote and chemical sensing, lidar and medicine, and tellurite fibres offer advantages over other common fibre glasses such a lower phonon energy and higher rare-earth ion solubility than silicate glasses, and greater chemical and environmental stability than fluoride glasses. Rate equation modelling is a very useful tool for the characterisation and performance prediction of new rare earth transitions in these novel fibre materials. We present the numerical rate equation modelling results for a ~2 μm Tm3+-doped tellurite fibre laser when pumped with a 1.6 μm Er3+/Yb3+-doped double-clad silica fibre laser. A maximum slope efficiency of 76% with respect to launched pump power was achieved in the experimental fibre laser set up with a 32 cm long fibre. The high slope efficiency is very close to the Stokes efficiency limit of ~82% which is due to the in-band pumping scheme employed and the lack of pump excited state absorption. The two-level rate equations involving absorption and emission between the Tm3+: 3H6 and 3F4 levels have been solved iteratively using a fourth-order Runge-Kutta algorithm and the results compared with the experimental results. For the 32 cm fibre with output coupler reflectivities of 12%, 50%, 70% and 90%, the respective theoretical slope efficiencies of 73%, 64%, 53% and 29% are in very good agreement with the experimentally measured values of 76%, 60%, 48% and 33%.
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Billy D. O. Richards, Billy D. O. Richards, Craig A. Evans, Craig A. Evans, Zoran Ikonić, Zoran Ikonić, Paul Harrison, Paul Harrison, Yuen H. Tsang, Yuen H. Tsang, David J. Binks, David J. Binks, Joris Lousteau, Joris Lousteau, Animesh Jha, Animesh Jha, } "Numerical rate equation modelling of a 1.61 μm pumped ~2 μm Tm3+-doped tellurite fibre laser", Proc. SPIE 6998, Solid State Lasers and Amplifiers III, 69981T (22 April 2008); doi: 10.1117/12.782349; https://doi.org/10.1117/12.782349
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