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Nonlinear theory of multiphonon relaxation of excited rare-earth ions in laser crystals

A general formula for the probability of multiphonon nonradiative transitions between J multiplets of 4 f N states of trivalent rare-earth ions in a crystal derived for a nonlinear mechanism is discussed. A technique is developed for calculating the quantities involved in this formula. Particular at...

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Bibliographic Details
Published in:Physics of the solid state 2008-09, Vol.50 (9), p.1597-1604
Main Author: Pukhov, K. K.
Format: Article
Language:English
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Summary:A general formula for the probability of multiphonon nonradiative transitions between J multiplets of 4 f N states of trivalent rare-earth ions in a crystal derived for a nonlinear mechanism is discussed. A technique is developed for calculating the quantities involved in this formula. Particular attention is given to calculating the spectral density J ( p ) (Ω), which is the Fourier transform (at the transition frequency) of the p th power of the correlation function K ( t ) of host ion displacements. Based on the central limit theorem from probability theory, an approximation is proposed for the spectral density J ( p ) (Ω). The theoretical values of nonradiative multiphonon transition rates are compared with experimental ones.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783408090011