Numerical analyses of the population dynamics and determination of the upconversion coefficients in a new high erbium-doped tellurite glass

Abstract

A model for the population dynamics of Er3+ in tellurite glasses with high erbium concentrations is proposed. Luminescence decay curves from transitions of 4I13/2→4I15/2 and 4S3/2→4I15/2 were measured experimentally. Upconversion coefficients were obtained by numerically solving the rate equations of the model to fit the population dynamics of the 4I13/2 and 4S3/2 levels. The upconversion coefficient for 4I13/2+4I13/2→4I9/2+ 4I15/2 is found to be 2.74×10-18 cm3/s and for 4I11/2+4I11/2→4I15/2+2F7/2 is 1.09×10-18 cm3/s. The model provides a good basis for explaining the experiment data because it shows a high sensitivity to the input fitting parameters. This model can be used to analyze transition properties of Er3+ ions in glass hosts, where various energy levels of Er3+ and the transitions between them cannot be neglected. A discussion of upconversion coefficients in tellurite glass in comparison with those in silica, silicate, and phosphate glasses is presented with an explanation of the origin of the differences from the perspective of different glass structures.