Analysis of competing mechanisms in transitions between excited states in Er-doped integrated waveguides

A new procedure for determining the prevalence of either excited-state absorption (ESA) or nonradiative cooperative energy transfer between erbium ions in transitions between excited states in Er-doped integrated waveguides is presented. These transitions are currently very attractive for the development of upconversion lasers. The procedure is based on the analysis of the dependence on the transition-originating mechanisms of the modulation transfer from the pump to the excited levels´ population. The accuracy and validity range of the method are studied numerically using ordinary integrated structures. By using this procedure, the ratio of the contributions of the two competing mechanisms to the ⁴I_13/2 ⇒ ⁴I_9/2 transition is determined from fluorescence measurements on a Er,Ti:LiNbO₃ sample excited by a 1480-nm pump. Moreover, new values of the excited-state pump-absorption cross section from level ⁴I_13/2, σ₂₄ (≈1480 nm) = 0.8 × 10^-26 m², and of the parameter associated with nonradiative cooperative energy transfer between Er³⁺ ions, C₂₂ = 3 × 10^-24 m³ s·^-1, are reported