A detailed analysis of the non-exponential behaviour of the kinetics o
f the initial laser level for three-micrometer generation I-4(11/2), i
n ErAG (Erbium Aluminium Garnet) crystals (laser transition I-4(11/2)
--> I-4(13/2)), excited in the H-2(11/2) level with short laser pulses
of variable intensity, is performed. The observed non-exponentiality
of the I-4(11/2) decay and its dependence on the energy of the excitin
g pulse cannot be satisfactorily described with a rate equation modell
ing which includes only two-ion energy transfer processes among Er3+ i
ons as up-conversion from the terminal laser level (I-4(13/2)), up-con
version from the initial one, and cross-relaxation from I-4(9/2) and S
-4(3/2) (thermalised, at room temperature, with H-2(11/2)). Our analys
is has shown that the inclusion of three-ion up-conversion processes f
rom both initial and terminal three-micrometer laser levels leads to a
n excellent agreement between experimental and theoretical non-exponen
tiality of the I-4(11/2) decay for various pumping intensities and all
ows the estimation of the three-ion up-conversion rates. (C) 1998 Else
vier Science B.V. All rights reserved.