Statistical model for energy-transfer-induced up-conversion in Er3+-doped glasses
2000 (English)In: Physical Review B Condensed Matter, ISSN 0163-1829, E-ISSN 1095-3795, Vol. 62, no 23, 15628-15633 p.Article in journal (Refereed) Published
We present a statistical model for studying excitation upconversion and migration caused by energy transfer between Er3+ ions in a glass matrix. Assuming a statistically uniform distribution of ions in the matrix we propose an approach for averaging the solution of the rate equations over possible ensemble configurations. The model provides a transcendental equation for the population inversion and the up-conversion rate in the steady-state case, and an integral equation for delta -pulse excitation. Analytical expressions are given for the asymptotes at small and large population inversions, as well as at the initial time fur the dynamic case. The model explains well the experimentally observed nonlinear dependence of the up-conversion rate versus population inversion, and the enhancement of the up-conversion caused by the migration.
Place, publisher, year, edition, pages
2000. Vol. 62, no 23, 15628-15633 p.
excited-state absorption, 980 nm, fluorescence, excitation, silicate, systems, fibers
IdentifiersURN: urn:nbn:se:kth:diva-20237ISI: 000165995100066OAI: oai:DiVA.org:kth-20237DiVA: diva2:338930
QC 201005252010-08-102010-08-10Bibliographically approved