A simple rate equation model is used to determine the macroscopic upconversion parameter of a heavily erbium-doped oxyfluoride transparent glass ceramic. The fraction of initially excited ions in the metastable state among erbium ions partitioned in the nanocrystallite phase is found and the decay of the <sup>4</sup>S<sub>3/2</sub> level is used to determine the upconversion parameter. The macroscopic energy-transfer upconversion parameter is found to be approximately 4×10<sup>−18</sup>cm<sup>3</sup>s<sup>−1</sup>, in good agreement with other erbium-doped fluoride materials.
© 2006 Optical Society of America
Original Manuscript: July 21, 2005
Revised Manuscript: February 2, 2006
Manuscript Accepted: February 16, 2006
Gina C. Jones and Susan N. Houde-Walter, "Determination of the macroscopic upconversion parameter in Er3+-doped transparent glass ceramics," J. Opt. Soc. Am. B 23, 1600-1608 (2006)