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We report on the development and application of a parametrized crystal-fieldmodel for both C$_{1}$ symmetry centers in trivalent erbium-dopedY$_{2}$SiO$_{5}$. High resolution Zeeman and temperature dependent absorptionspectroscopy was performed to acquire the necessary experimental data. Theobtained data, in addition to the ground ($^{4}$I$_{15/2}$Z$_{1}$) state andexited ($^{4}$I$_{13/2}$Y$_{1}$) state Zeeman and hyperfine structure, wassimultaneously fitted in order to refine an existing crystal-fieldinterpretation of the Er$^{3+}$:Y$_{2}$SiO$_{5}$ system. We demonstrate that itis possible to account for the electronic, magnetic and hyperfine structure ofthe full 4f$^{11}$ configuration of Er$^{3+}$:Y$_{2}$SiO$_{5}$ and further,that it is possible to predict both optical polarization behavior and highmagnetic field hyperfine structure of transitions in the 1.5 $\mu$mtelecommunications band.

physical review. b./physical review. b

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$_{5}$