Eigenstates and radiative transition probabilities for Tm 3+ (4f 12) in phosphate and tellurite glasses

Abstract

Electronic wavefunctions of Tm 3+ in intermediate coupling were obtained and used to calculate the U (λ) matrix elements between all possible states of the 4f 12 configuration. The Judd-Ofelt intensity parameters Ω λ obtained for Tm 3+ in phosphate and tellurite glasses were used in conjunction with the U (λ)'s to calculate the forced electric dipole line strengths. The total electric and magnetic transition probabilities are calculated. The entire theoretical spectrum involving the ground and excited levels (from 129 nm to 16447 nm) is given.