Abstract
ABSTRACT We apply a recently developed model for non-radiative energy transfer in correlated systems to recently published data on energy transfer in garnets. We show that even in well-studied materials in which the analysis of the data appears straight forward, subtle deviations from theory and difficulty in quantitatively evaluating interaction parameters may be due to a non-random distribution of donors and acceptors in the crystal. 1. INTRCDUCTIOSf The development of new solid-state infrared lasers to substitute for Nd:YAG for industrial, academic and military applications is continuing. In particular, one method to develop materials with enhanced efficien cies and new wavelengths is to codope the materials with acceptors (ions to absorb the pump radiation) and donors (ions to emit the laser radiation) and to rely on Foerster-Dexter non-radiative energy transfer for the interaction of the donors and acceptors. Both Nd:Cr:GSGG (with an output wavelength of 1.06 microns) and Er:YAG (with an output wavelength of 2.94 microns) have a non-radiative energy transfer step in the flow of their energy from pump input to the las ing output. The rate of trasnfer is proportional to ]/r6 where r is the distance between a donor and an acceptor.We consider in this paper the development of laser materials in which donors and acceptors are micro scopically paired or correlated within the lasing material. A theoretical expression is derived for the rate of energy transfer as a function of the degree of correlation between donors and acceptors in the crystal. Methods to achieve such correlation, based on ion-site size mismatch (two doped ions will locate next to each other to relieve lattice strain) are described. Experimental evidence for such correlation in luminescent materials, including Nd:Cr:GSGG and Nd:Ce:YAG will be detailed.
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