Simultaneous strain and temperature measurements with polarization-maintaining fibers and their error analysis by use of a distributed Brillouin loss system

Xiaoyi Bao; Qinrong Yu; Liang Chen

doi:10.1364/OL.29.001342

Optics Letters
Vol. 29,
Issue 12,
pp. 1342-1344
(2004)
•https://doi.org/10.1364/OL.29.001342

Simultaneous strain and temperature measurements with polarization-maintaining fibers and their error analysis by use of a distributed Brillouin loss system

Xiaoyi Bao, Qinrong Yu, and Liang Chen

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Xiaoyi Bao, Qinrong Yu, and Liang Chen, "Simultaneous strain and temperature measurements with polarization-maintaining fibers and their error analysis by use of a distributed Brillouin loss system," Opt. Lett. 29, 1342-1344 (2004)

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Abstract

Simultaneous temperature and strain measurement with a distributed Brillouin loss system is proposed by use of the parameters Brillouin frequency, power, and bandwidth, for PANDA, bow-tie, and tiger polarization-maintaining fibers for the first time to our knowledge. The expressions for simultaneous temperature and strain sensing and the maximum errors and rms values of temperature and strain measurements are derived with three combinations of the parameters: (1) power and Brillouin frequency, (2) bandwidth and Brillouin frequency, and (3) bandwidth and Brillouin power. Our experiments demonstrate that simultaneous temperature and strain sensing at 20-cm spatial resolution for Brillouin frequency combined with bandwidth the strain/temperature resolutions are $39 µ ε / 2^{°} C$ (PANDA), $126 µ ε / 3^{°} C$ (bow tie), and $598 µ ε / 16^{°} C$ (tiger); for the Brillouin frequency combined with power the strain/temperature resolutions are $153 µ ε / 8^{°} C$ (PANDA) and $237 µ ε / 4^{°} C$ (bow tie); and for the bandwidth combined with power the strain/temperature resolutions are $135 µ ε / 38^{°} C$ (PANDA) and $195 µ ε / 38^{°} C$ (bow tie).

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PM Fiber Type	PANDA	Bow Tie	Tiger
$C_{v}^{T} (MHz /^{°} C)$	1.37	2.30	1.66
	$\pm 0.007$	$\pm 0.05$	$\pm 0.07$
$C_{P}^{T} (% /^{°} C)$	0.26	0.23	0.04
	$\pm 0.03$	$\pm 0.01$	$\pm 0.09$
$C_{B}^{T} (MHz /^{°} C)$	$- 0.15$	$- 0.20$	–
	$\pm 0.02$	$\pm 0.02$
$C_{v}^{ε} (MHz / µ ε)$	0.077	0.023	0.091
	$\pm 0.002$	$\pm 0.001$	$\pm 0.005$
$C_{P}^{ε} (% / µ ε)$	$- 0.028$	0.018	0.011
	$\pm 0.003$	$\pm 0.002$	$\pm 0.004$
$C_{B}^{ε} (MHz / µ ε)$	0.058	$- 0.031$	–
	$\pm 0.004$	$\pm 0.002$

	PANDA			Bow Tie			Tiger
Property	F–P	F–B	P–B	F–P	F–B	P–B	F–P
Uncertainty of temperature (°C)	8	2	38	4	3	38	16
Uncertainty of strain $(µ ε)$	153	39	135	237	126	195	598
Maximum error of $Δ T ({}^{°}C)$	10	4	58	12	7	137	78
Maximum error of $Δ ε (µ ε)$	331	82	249	741	490	1096	1308
rms $(Δ T) ({}^{°}C)$	2	2	40	8	4	73	38
rms $(Δ ε) (µ ε)$	221	43	149	414	152	567	926

PM Fiber Type	PANDA	Bow Tie	Tiger
$C_{v}^{T} (MHz /^{°} C)$	1.37	2.30	1.66
	$\pm 0.007$	$\pm 0.05$	$\pm 0.07$
$C_{P}^{T} (% /^{°} C)$	0.26	0.23	0.04
	$\pm 0.03$	$\pm 0.01$	$\pm 0.09$
$C_{B}^{T} (MHz /^{°} C)$	$- 0.15$	$- 0.20$	–
	$\pm 0.02$	$\pm 0.02$
$C_{v}^{ε} (MHz / µ ε)$	0.077	0.023	0.091
	$\pm 0.002$	$\pm 0.001$	$\pm 0.005$
$C_{P}^{ε} (% / µ ε)$	$- 0.028$	0.018	0.011
	$\pm 0.003$	$\pm 0.002$	$\pm 0.004$
$C_{B}^{ε} (MHz / µ ε)$	0.058	$- 0.031$	–
	$\pm 0.004$	$\pm 0.002$

	PANDA			Bow Tie			Tiger
Property	F–P	F–B	P–B	F–P	F–B	P–B	F–P
Uncertainty of temperature (°C)	8	2	38	4	3	38	16
Uncertainty of strain $(µ ε)$	153	39	135	237	126	195	598
Maximum error of $Δ T ({}^{°}C)$	10	4	58	12	7	137	78
Maximum error of $Δ ε (µ ε)$	331	82	249	741	490	1096	1308
rms $(Δ T) ({}^{°}C)$	2	2	40	8	4	73	38
rms $(Δ ε) (µ ε)$	221	43	149	414	152	567	926

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