Relationship between gain and Yb 3¿ concentration in Er 3¿ -Yb 3¿ doped waveguide amplifiers

We have used a rate equation propagation model of an Er3+/Yb3+ doped Al2O3 waveguide amplifier with copropagating pump at 980 nm to investigate the dependence of gain on Yb3+ concentration. The model includes excited state absorption and energy transfer upconversion processes within the Er3+ as well as the relevant energy transfer processes between Yb3+ and Er3+. The results of the calculations indicate a close relationship of the parameters gain, launched pump power, waveguide length, and Yb3+ concentration. Codoping with a well-chosen Yb3+ concentration is shown to increase the gain around 1530 nm for all combinations of these parameters. The gain is improved most by Yb3+ codoping at pump powers around the amplifier threshold. At high pump powers the increase in gain of an Er3+/Yb3+ doped waveguide is insignificant compared to that of its Er3+ doped counterpart. Furthermore for each launched pump power, a nonzero Yb3+ concentration can be determined, which maximizes the gain.

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