1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China and Graduate School of the Chinese Academy of Sciences, Shanghai 201800, China
2Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
3College of Information Engineering, China Jiliang University, Hangzhou, China
Meisong Liao, Lili Hu, Yongzheng Fang, Shiqing Xu, and Liyan Zhang, "Influences of radiation trapping on spectroscopic properties of Er3+-doped fluorophosphate glasses," J. Opt. Soc. Am. B 24, 1498-1504 (2007)
Fluorophosphate glasses with different contents of were prepared. Due to the radiation trapping of Er, concentration dependence of the fluorescence lifetime is subject to distortion, and the stimulated-emission cross section calculated by the Fuchtbauer–Ladenburg equation is underestimated. The influence of radiation trapping on the measured fluorescence lifetime and width are investigated quantitatively. By comparing the intensity ratio of the peak in the fluorescence spectrum with that in the stimulated-emission cross-section spectrum obtained according to the McCumber theory, the distortion ratio of fluorescence spectrum due to radiation trapping is obtained. An empirical way to quantitatively evaluate the influences of radiation trapping on fluorescence lifetime and width is proposed.
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Judd–Ofelt Parameter , Radiative Lifetime , Absorption and Stimulated-Emission Cross Sections According to the McCumber Theory, and of the Fluorophosphate Glasses
(ms)
2Er4–30
4.36
2.01
1.14
9.18
6.74
7.41
5Er4–30
4.35
1.99
1.14
9.20
6.61
7.28
8Er4–30
4.35
1.97
1.13
9.23
6.52
7.17
12Er4–30
4.38
1.98
1.15
9.14
6.39
7.03
18Er4–30
4.35
1.96
1.15
9.17
6.30
6.93
26Er4–30
4.36
1.98
1.15
9.15
6.28
6.90
Table 2
Spectroscopic Properties of Fluorophosphate Glasses with Different Content of in the Condition of Different Thickness
Quantum efficiency.
Measured fluorescence lifetime.
Influence ratio of radiation trapping on fluorescence lifetime.
Full width at half maximum of fluorescence FWHM.
Influence ratio of radiation trapping on FWHM .
The intensity ratio of peak in the fluorescence spectrum, .
Distortion ratio ζ of the fluorescence spectrum of the fluorophosphate glasses.
Table 3
Measured Fluorescence Lifetime and Free from Radiation Trapping, and of Stimulated-Emission Cross-Section Spectrum
(ms)
(nm)
2Er4–30
9.00
51
0.623
5Er4–30
8.87
51
0.627
8Er4–30
8.82
58
0.653
12Er4–30
8.55
60
0.667
18Er4–30
7.80
61
0.671
26Er4–30
6.90
61
0.687
Tables (3)
Table 1
Judd–Ofelt Parameter , Radiative Lifetime , Absorption and Stimulated-Emission Cross Sections According to the McCumber Theory, and of the Fluorophosphate Glasses
(ms)
2Er4–30
4.36
2.01
1.14
9.18
6.74
7.41
5Er4–30
4.35
1.99
1.14
9.20
6.61
7.28
8Er4–30
4.35
1.97
1.13
9.23
6.52
7.17
12Er4–30
4.38
1.98
1.15
9.14
6.39
7.03
18Er4–30
4.35
1.96
1.15
9.17
6.30
6.93
26Er4–30
4.36
1.98
1.15
9.15
6.28
6.90
Table 2
Spectroscopic Properties of Fluorophosphate Glasses with Different Content of in the Condition of Different Thickness
Quantum efficiency.
Measured fluorescence lifetime.
Influence ratio of radiation trapping on fluorescence lifetime.
Full width at half maximum of fluorescence FWHM.
Influence ratio of radiation trapping on FWHM .
The intensity ratio of peak in the fluorescence spectrum, .
Distortion ratio ζ of the fluorescence spectrum of the fluorophosphate glasses.
Table 3
Measured Fluorescence Lifetime and Free from Radiation Trapping, and of Stimulated-Emission Cross-Section Spectrum