We have applied the theory of McCumber to the 44I13/2 ↔ 4I15/2 transition of Er3+-doped glasses and confirmed its ability to provide both spectra and accurate values of cross sections. For an Al/P–silica fiber, the exact McCumber treatment is within 3% of the measured emission cross section, whereas an Einstein analysis is off by >50%. An approximate treatment that eliminates the McCumber theory’s requirement of detailed electronic structure has been developed and found to usually provide more accurate values than an Einstein analysis.
© 1991 Optical Society of America
Original Manuscript: August 6, 1990
Manuscript Accepted: November 19, 1990
Published: February 15, 1991
W. J. Miniscalco and R. S. Quimby, "General procedure for the analysis of Er3+ cross sections," Opt. Lett. 16, 258-260 (1991)