Polarizabilities and emission cross-sections of lanthanide laser crystal

The dependence between stimulated-emission cross-sections and polarizability volumes has been studied for laser transitions of Nd3+, Ho3+, Er3+, and Tm3+ ions doped in dielectric crystals: complex oxides, simple and complex fluorides. The overall polarizability of each crystal containing Ln3+ ions has been calculated by inclusion of the dopant polarizability in respective concentration. The applied method has revealed distinctly different positions of Nd3+ ions in the mentioned dependence in a series of crystals, e.g. Y3Al5O12, YAlO3, LiYF4, compared to the other Ln3+ ions doped in the same lattices.