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Dependence of Judd-Ofelt parameters on integrated absorption coefficient or cross-section of an individual transition of Er3+

Dependence of Judd-Ofelt parameters on integrated absorption coefficient or cross-section of an individual transition of Er3+

Authors :
Feng Chen
Mei-Hong Liu
Jia-Min Liu
De-Long Zhang
Source :
Optical Materials. 121:111667
Publication Year :
2021
Publisher :
Elsevier BV, 2021.

Abstract

Dependences of two factors on Judd-Ofelt (JO) intensity parameters Ωt (t = 2,4,6) have been studied theoretically by exemplifying the widely studied Er3+ ion, which is doped into Gd3Ga5O12, LiNbO3 and SrGdGa3O7 bulk single-crystals and β-NaYF4 powder. The two factors include 1) selection of induced electric-dipole transitions for JO calculation and 2) integrated absorption coefficient (IAC) or integrated absorption cross-section (IACS) of individual electric-dipole transition of Er3+. Absolute and relative root-mean-square methods were considered in the JO fits and consistent results were obtained. Ωt depends mainly on strong and medium-intensity transitions. These transitions must be all included in the fit. The exclusion of an individual transition from the fit leads to deviation of Ωt. From the matrix elements [U(t)]2 values, it is possible to rate how the inclusion or not of a transition affects the Ωt. The study also shows that the Ωt changes almost linearly with the IAC or IACS of an individual transition, and the relevant linear slope may have a positive or negative sign, depending on the [U(t)]2 value. Moreover, the larger the [U(t)]2 value is, the larger the corresponding Ωt value is. In addition, the Ω2, Ω4 and Ω6 are dependent of each other because it is the summation ∑ t Ω t [ U ( t ) ] 2 instead of its component term Ω t [ U ( t ) ] 2 that has a linear relationship to the IAC or IACS.

Details

ISSN :
09253467
Volume :
121
Database :
OpenAIRE
Journal :
Optical Materials
Accession number :
edsair.doi...........74f4cc4fca19420efecb9d18206eafe4
Full Text :
https://doi.org/10.1016/j.optmat.2021.111667