Interaction of RE3+ impurity ions with inhomogeneous field of radiation

Abstract

A scheme is proposed for computing the probability of the dipole-forbidden f–f transition at the interaction of the RE³⁺ impurity ion with the field of an inhomogeneous exciting radiation. It is shown that in the case under consideration, the prohibition on electric dipole transitions can be repealed without involving the Judd–Ofelt theory of induced electric dipole transitions. The quantitative estimation of the absorption cross-section of YAG:Er³⁺ crystal at the wavelength of 1530 nm (⁴I_15/2 → ⁴I_13/2) was carried out for the simplest model of the inhomogeneous exciting radiation.