Calculation of Rare-Earth Excited-State Absorption Properties

Calculation of Rare-Earth Excited-State Absorption Properties 

In view of the advantages inherent in the use of two-color excitation schemes, and the experimental difficulties associated with their implementation, it would 

Two semiempirical approaches are commonly applied in calculating the energies and intensities of f-f transitions in rare earth ions. The most common is the so-called Judd-Ofelt method. At this level of theory, the total oscillator strength for an f-f transition between SL/) and S L J ) multiplets is given by Eq. (27) [34,35]  

The energies of each of the (2/-i-1) crystal-field levels within a multiplet may be calculated by diagonalization of the full SL/Mj) matrix of a semiempirical effective Hamiltonian, H, when this is expanded to include both CF and CCF terms as in Eq. (28) [36,37]  

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