Optical-absorption intensities and intermanifold emission cross sections of trivalent erbium ions in calcium fluorophosphate

Abstract

Absorption intensities and emission cross section of intermanifold transition of Er 3 + in Er 3 + : Y 2 O 3 nanocrystalsOptical absorption intensity analysis and emission cross sections for the intermanifold and the inter-Stark transitions of Nd 3 + ( 4 f 3 ) in polycrystalline ceramic Y 2 O 3 A spectroscopic analysis is performed on trivalent erbium ions, Er 3+ , doped into calcium fluorophosphate ͑FAP͒ to assess this material for its potential as a near-infrared laser host. The Judd-Ofelt model is applied to the orientation-averaged, room-temperature absorption intensities of Er 3+ in FAP to obtain the phenomenological intensity parameters: ⍀ 2 = 5.86ϫ 10 −20 cm 2 , ⍀ 4 = 0.38ϫ 10 −20 cm 2 , and ⍀ 6 = 0.88ϫ 10 −20 cm 2 . The intensity parameters are used to determine the radiative decay rates ͑emission probabilities͒, radiative lifetimes, and branching ratios of the Er 3+ transitions from the upper multiplet manifolds to the corresponding lower-lying multiplet manifolds 2S+1 L J of Er 3+ in FAP. Using the radiative decay rates for Er 3+ transitions between the corresponding excited states and the lower-lying states, the radiative lifetimes of eight excited states are determined in this host. The room temperature fluorescence lifetime and the radiative lifetime of the Er 3+ 4 I 13/2 → 4 I 15/2 ͑1.53 m͒ transition are reported and the quantum efficiency is determined to be 69% for 1.0 wt % Er 3+ :FAP. In addition, the orientationally resolved emission cross sections for the 4 S 3/2 → 4 I 15/2 and 4 I 13/2 → 4 I 15/2 transitions are presented.

Nano-crystals precipitation and upconversion luminescence properties in Er3+/Yb3+ co-doped fluoride phosphate glass-ceramics

“…The radiative transition probability increases with the increase of A ed . A ed of green emission for Er 3+ is larger than that of red emission [19]. In the glass-ceramics, the Er 3+ and Yb 3+ ions were confined in the Ca 5 (PO 4 ) 3 F nano-crystals.…”

Negative refraction without absorption via both coherent and incoherent fields in a four-level left-handed atomic system

“…In experimental investigation, the solid sample of E r 3+ doped into calcium fluorophosphate at room temperature might be a good candidate because it has abundant energy levels, various electric magnetic transitions and high density in the order 10 25 m − 3 [27,28]. And the four levels |1〉, |2〉, |3〉, and |4〉 in Fig.…”

“…The parameters for the electric and magnetic polarizabilities of atoms can be chosen as: electric and magnetic transition dipole moments d 21 =2.5×10 − 29 C m and μ 34 =7.0×10 − 23 C m 2 s − 1 [16], respectively. The density of atom N was chosen to be 6.5 × 10 25 m − 3 [27,28]. And the other parameters are scaled by γ = 10 6 s − 1 : Γ 31 = Γ 41 = Γ 42 = Γ 43 =0.01γ, Γ 21 =0.5γ, Γ 32 =1γ.…”

The electromagnetically induced negative refractive index in the Er3+:YAlO3crystal

“…Let us consider a -type four-level |1 -|4 scheme [13,14] corresponding to the energy level configuration 4 [15,16]. Consequently, there are ω 12 ∼ = ω 34 , ω 31 ∼ = ω 42 or degeneration conditions.…”