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\(_{5}\)

• Published in: arXiv.org 2022-06
• Main Authors: Jobbitt, N L, Wells, J -P R, Reid, M F, Horvath, S P, Goldner, P, Ferrier, A
• Format: Article
• Language: English
• Subjects: Crystal structure; Erbium; Hyperfine structure; Optical polarization; Parameterization; Symmetry; Temperature dependence; Yttrium
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2206.09080

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.