Modeling and analyzing the temperature sensitivity of radiation-induced attenuation in a Ge-P co-doped fiber

Fig. 1. Experimental data (dotted lines) and fitted curves (solid lines) of the RIA spectra at six temperatures. The inset shows the residual errors between the experimental data and the fitted curves.

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Fig. 2. Absorption bands (dotted lines) of P1, Ge-NBOHC, and Ge(X) color centers at six temperatures and their integrated fitted curves. The inset shows the partial enlargement of the curves.

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Fig. 3. Linear fitted curves of parameters a(T), E(T), and ω(T) of P1, Ge-NBOHC, and Ge(X) color centers.

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Fig. 4. Experimental data and simulation results at 850, 1310, and 1550 nm. The values of the MSE between the simulation and the test are shown.

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Table 1. Main Parameter Values of P1, Ge-NBOHC, Ge(X) Color Centers
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Table 1. Main Parameter Values of P1, Ge-NBOHC, Ge(X) Color Centers
Color center name $E_{n}$ (eV) $ω_{n}$ (eV)
P1 0.765 0.224
Ge-NBOHC 1.97 0.3–0.6
Ge(X) 2.61 0.82

Table 2. Parameter Values of P1 Color Centers
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Table 2. Parameter Values of P1 Color Centers
Temperature (°C) $a_{P 1}$ $E_{P 1}$ (eV) $ω_{P 1}$ (eV)
−40 1.242 0.7659 0.212
−20 1.228 0.7654 0.215
0 1.208 0.7648 0.218
20 1.188 0.7641 0.221
40 1.170 0.7635 0.225
60 1.150 0.7630 0.228

Table 3. Parameter Values of Ge-NBOHC Color Centers
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Table 3. Parameter Values of Ge-NBOHC Color Centers
Temperature (°C) $a_{Ge - NBOHC}$ $E_{Ge - NBOHC}$ (eV) $ω_{Ge - NBOHC}$ (eV)
−40 4.815 1.990 0.507
−20 4.792 1.985 0.525
0 4.768 1.979 0.540
20 4.739 1.972 0.557
40 4.715 1.965 0.571
60 4.690 1.957 0.587

Table 4. Parameter Values of Ge(X) Color Centers
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Table 4. Parameter Values of Ge(X) Color Centers
Temperature (°C) $a_{Ge (X)}$ $E_{Ge (X)}$ (eV) $ω_{Ge (X)}$ (eV)
−40 2.061 2.643 0.800
−20 2.058 2.635 0.805
0 2.055 2.624 0.810
20 2.052 2.612 0.815
40 2.049 2.600 0.820
60 2.047 2.590 0.825

Table 5. Coefficients of the Fitting Functions of an, En, and ωn

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Table 5. Coefficients of the Fitting Functions of an, En, and ωn

Linear fitting function: $y = a * T + b$
Color centers	Parameters ( $y$ )	$a$	$b$	$R^{2}$
P1	$a_{P 1}$	$- 9.343 \times 10^{- 4}$	1.20701	0.997
	$E_{P 1}$	$- 2.986 \times 10^{- 5}$	0.76475	0.997
	$ω_{P 1}$	$1.614 \times 10^{- 4}$	0.21822	0.997
Ge-NBOHC	$a_{Ge - NBOHC}$	−0.00126	4.76581	0.999
	$E_{Ge - NBOHC}$	$- 3.314 \times 10^{- 4}$	1.97798	0.993
	$ω_{Ge - NBOHC}$	$7.929 \times 10^{- 4}$	0.5399	0.999
Ge(X)	$a_{Ge (X)}$	$- 1.429 \times 10^{- 4}$	2.0551	0.996
	$E_{Ge (X)}$	$- 5.457 \times 10^{- 4}$	2.62279	0.996
	$ω_{Ge (X)}$	$2.5 \times 10^{- 4}$	0.81	0.998

Table 6. Sensitivity and Nonlinearity of Temperature-Dependent RIA at Three Wavelengths
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Table 6. Sensitivity and Nonlinearity of Temperature-Dependent RIA at Three Wavelengths
Wavelength (nm) Sensitivity (dB/m/°C) Nonlinearity (%)
850 $7.77 \times 10^{- 3}$ $\pm 2.14$
1310 $1.61 \times 10^{- 3}$ $\pm 2.66$
1550 $1.6 \times 10^{- 4}$ $\pm 9.23$

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Jing Jin, Chunjing Liu, Jixun Liu, Yunxia Hou, "Modeling and analyzing the temperature sensitivity of radiation-induced attenuation in a Ge-P co-doped fiber," Chin. Opt. Lett. 14, 030601 (2016)

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