1993
DOI: 10.1109/68.185065
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Modeling of pair-induced quenching in erbium-doped silicate fibers

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Cited by 234 publications
(105 citation statements)
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“…The rates R i j are equal to I i j /h , with I the pump intensity, i j the cross section, and h the pump photon energy. Here, 12 is the pump absorption cross section, 21 is the cross section for stimulated emission at the pump wavelength, and 24 is the cross section for ESA. When solving the rate equations the population of level 4 can be neglected as it rapidly decays to level 3 nonradiatively.…”
Section: Low Er Concentrationmentioning
confidence: 99%
See 1 more Smart Citation
“…The rates R i j are equal to I i j /h , with I the pump intensity, i j the cross section, and h the pump photon energy. Here, 12 is the pump absorption cross section, 21 is the cross section for stimulated emission at the pump wavelength, and 24 is the cross section for ESA. When solving the rate equations the population of level 4 can be neglected as it rapidly decays to level 3 nonradiatively.…”
Section: Low Er Concentrationmentioning
confidence: 99%
“…Very efficient cooperative upconversion can occur when two ͑or more͒ ions form a pair ͑or cluster͒, resulting in almost immediate interaction of the ions once both of them are excited. This is referred to as pair-induced quenching ͑PIQ͒, [12][13][14] and effectively limits the maximum degree of inversion attainable in the material. Upconversion can also occur through absorption of a photon by an excited Er 3ϩ ion, promoting it to a higher-energy state ͓see Fig.…”
Section: Introductionmentioning
confidence: 99%
“…However, previous studies have shown that the tunability of EDFL depends very much on the active fiber length [5,6]. In addition, a concentration-related process called pair-induced quenching (PIQ) may significantly degrade the performance of erbium-doped fibers (EDFs) [9][10][11][12]. The effect of PIQ has also been found to cause a detrimental increase in the threshold, a reduction in conversion efficiency in EDFLs [13], as well as degradation in the power flatness of tunable EDFLs [14,15].…”
Section: Introductionmentioning
confidence: 99%
“…5.1 show the pump absorption versus launched pump power of the waveguide with an Er A number of authors [109][110][111][112][113] have attributed a similar behavior observed in other host materials to a fast quenching process. In our samples, such a process can be induced by, e.g., fast static ETU due to active ion pairs or clusters, energy transfer to undesired impurities, or trapping of excitation energy by host material defects, such as voids.…”
Section: +mentioning
confidence: 67%
“…In order to determine the fraction of quenched ions, we introduce a simple quenched-ion rate-equation model (see Appendix B, Part 1) that generalizes the ion-pair scheme presented in Ref. [109] to all the potential quenching mechanisms mentioned above. The quenched ions still absorb pump light, like the active ions do, but their luminescence is strongly quenched with a characteristic decay time  1q .…”
Section: +mentioning
confidence: 99%