Abstract
A theoretical description of two-photon (TP) f-d transitions in the rare earth compounds is presented. The independent systems model is used to describe the influence of crystal field and ligand polarization on the f-d TP transitions in lanthanide ions. The relative importance of the static and dynamic terms is estimated and the selection rules concerning the anisotropic polarizability of ligands are discussed. Within the presented theory the absolute cross section and polarization anisotropy of f-d TPA in Ce 3+:CaF 2 is calculated and compared with experimental values reported recently.
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