A comparison between different methods of calculating the radiative lifetime of the 4I13/2 level of Er3+ in various glasses (original) (raw)

2003, Journal of Non-Crystalline Solids

A comparison between the radiative lifetimes of the 4 I 13=2 level of Er 3þ derived from the conventional Judd-Ofelt (J-O) method and from a simple formula, that corresponds to Einstein relation for the emission probability of a twolevel system, has been carried out in some typical glasses, such as germanate, phosphate, silicate, and tellurite. The uncertainties of the radiative lifetimes are evaluated using standard error analysis; it comes out that uncertainties are much larger (some tens %) when using the J-O method than with the simple formula (error less than 1%). The same simple method can be used to calculate the radiative lifetimes of other rare earth ions, such as Ho 3þ , Tm 3þ and Yb 3þ .

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