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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+
- 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.
- Subjects :
- Physics
Organic Chemistry
Value (computer science)
Atomic and Molecular Physics, and Optics
Electronic, Optical and Magnetic Materials
Ion
Inorganic Chemistry
Cross section (physics)
Matrix (mathematics)
Linear relationship
Attenuation coefficient
Electrical and Electronic Engineering
Physical and Theoretical Chemistry
Absorption (chemistry)
Atomic physics
Spectroscopy
Subjects
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