## Abstract

Energy transfer analyses are performed on ${\mathrm{Tb}}^{3+}$ and ${\mathrm{Yb}}^{3+}$ codoped in borosilicate glasses to assess their potential as gain media for green lasers and amplifiers under the $0.98\text{\hspace{0.17em}}\mu \mathrm{m}$ band pumping. Based on experimental observations using the samples highly codoped with ${\mathrm{Tb}}^{3+}$ and ${\mathrm{Yb}}^{3+}$, a rate equation model of energy transfers between ${\mathrm{Tb}}^{3+}$ and ${\mathrm{Yb}}^{3+}$ is constructed considering the four types of energy transfers processes; (i) the cooperative energy transfer upconversion, (ii) the phonon-assisted energy transfer from ${\mathrm{Tb}}^{3+}$ to ${\mathrm{Yb}}^{3+}$, (iii) the cooperative cross relaxation, and (iv) the phonon-assisted energy transfer from ${\mathrm{Yb}}^{3+}$ to ${\mathrm{Tb}}^{3+}$. The rate equation model can simulate the experimental emission dynamics of ${\mathrm{Tb}}^{3+}$ and ${\mathrm{Yb}}^{3+}$ codoped samples well. It is clarified that a practical signal gain at $0.54\text{\hspace{0.17em}}\mu \mathrm{m}$ can be obtained in ${\mathrm{Tb}}^{3+}\u2013{\mathrm{Yb}}^{3+}$ codoped fiber under the $0.98\text{\hspace{0.17em}}\mu \mathrm{m}$ band pumping.

© 2009 Optical Society of America

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