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$_{5}$

TL;DR

This paper develops a parametrized crystal-field model for erbium-doped Y$_{2}$SiO$_{5}$, accurately predicting optical polarization and hyperfine structures relevant for telecommunications applications.

Contribution

It introduces a refined crystal-field model that accounts for electronic, magnetic, and hyperfine structures in low symmetry erbium centers, enabling precise predictions of optical and hyperfine behaviors.

Findings

Successfully fitted experimental Zeeman and hyperfine data

Predicted optical polarization behavior in the 1.5 μm band

Accurately modeled high magnetic field hyperfine structures

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 $\mu$m telecommunications band.