Prediction of the Optical Polarization and High Field Hyperfine Structure Via a Parametrized Crystal-Field Model for the Low Symmetry Centers in Er${}^{3+}$ Doped Y${}_2$SiO${}_5$

Abstract

We report on the development and application of a parametrized crystal-field model for both C${}_1$ symmetry centers in trivalent erbium-doped Y${}_2$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 (${}^4$I${}_{15/2}$Z${}_1$) state and exited (${}^4$I${}_{13/2}$Y${}_1$) state Zeeman and hyperfine structure, was simultaneously fitted in order to refine an existing crystal-field interpretation of the Er${}^{3+}$:Y${}_2$SiO${}_5$ system. We demonstrate that it is possible to account for the electronic, magnetic and hyperfine structure of the full 4f${}^{11}$ configuration of Er${}^{3+}$:Y${}_2$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 $\hat{I}¼$m telecommunications band.