Prediction of optical polarization and high-field hyperfine structure via a parametrized crystal-field model for low-symmetry centers in Er3+ -doped Y2SiO5

Abstract

We report on the development and application of a parametrized crystal-field model for both ${\mathrm{C}}_{1}$ symmetry centers in trivalent erbium-doped ${\mathrm{Y}}_{2}{\mathrm{SiO}}_{5}$. High-resolution Zeeman and temperature dependent absorption spectroscopy was performed to acquire the necessary experimental data. The obtained data, in addition to the ground $(^{4}\mathrm{I}_{15/2}{\mathrm{Z}}_{1})$ state and exited $(^{4}\mathrm{I}_{13/2}{\mathrm{Y}}_{1})$ state Zeeman and hyperfine structure, were simultaneously fitted in order to refine an existing crystal-field interpretation of the ${\mathrm{Er}}^{3+}$:${\mathrm{Y}}_{2}{\mathrm{SiO}}_{5}$ system. We demonstrate that it is possible to account for the electronic, magnetic, and hyperfine structure of the full $4{f}^{11}$ configuration of ${\mathrm{Er}}^{3+}$:${\mathrm{Y}}_{2}{\mathrm{SiO}}_{5}$ and further, that it is possible to predict both optical polarization behavior and high magnetic field hyperfine structure of transitions in the $1.5\text{\ensuremath{-}}\ensuremath{\mu}\mathrm{m}$ telecommunications band.