Novel Fiber Bragg Grating Tilt Sensor with High Sensitivity

Xinkui Xing; Kabin Kuang; Heying Qin

doi:10.3788/AOS202242.0706004

Acta Optica Sinica, Volume. 42, Issue 7, 0706004(2022)

Novel Fiber Bragg Grating Tilt Sensor with High Sensitivity

Xinkui Xing^1,2,3, Kabin Kuang^1,2,3, and Heying Qin^1,2,3、*

Author Affiliations

¹School of Civil and Architectural Engineering, Guilin University of Technology, Guilin, Guangxi 541004, China

²Collaborative Innovation Center for Exploration of Hidden Nonferrous Metal Deposits and Development of New Materials in Guangxi, Guilin University of Technology, Guilin, Guangxi 541004, China

³Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin, Guangxi 541004, China

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Figures & Tables(17)

Fig. 1. Structural diagram of fiber Bragg grating tilt sensor

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Fig. 2. Force analysis diagram of fiber Bragg grating tilt sensor. (a) Force state of sensor when it is horizontal; (b) force state of sensor when tilt angle is θ

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Fig. 3. Sensor calibration experiment. (a) Physical image of fiber Bragg grating tilt sensor; (b) experimental installations

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Fig. 4. Theoretical analysis and experimental comparison of fiber Bragg grating tilt sensor

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Fig. 5. Performance test of sensor with tilt angle of 7°

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Fig. 6. Fitting curve of positive stroke repeatability test of fiber Bragg grating tilt sensor

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Fig. 7. Fitting curve of reverse stroke repeatability test of fiber Bragg grating tilt sensor

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Fig. 8. Measurement error analysis of fiber Bragg grating tilt sensor

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Fig. 9. Temperature test results. (a) Central wavelengths of FBG1 and FBG2 varying with temperature in horizontal condition; (b) central wavelengths of FBG1 and FBG2 varying with temperature at tilt angle of 1°

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Fig. 10. Sensor performance test with out-of-plane tilt

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Table 1. Sensitivity of sensor under different size parameters and strain value at full scale (l=10 mm, a=16 mm)

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Table 1. Sensitivity of sensor under different size parameters and strain value at full scale (l=10 mm, a=16 mm)

L /mm	m /kg	S₁ /[pm·(°)^-1]	ε/10^-4
	0.252	377.32	7.796
65.0	0.286	427.41	8.831
	0.320	477.30	9.862
	0.354	527.00	10.888
	0.212	330.24	6.823
67.5	0.240	373.23	7.711
	0.269	417.62	8.629
	0.297	460.33	9.511
	0.172	278.40	5.752
70.0	0.195	315.19	6.512
	0.218	351.87	7.270
	0.240	386.86	7.993

Table 2. Dimensional parameters of sensor
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Table 2. Dimensional parameters of sensor
Dimension parameter Value
L /mm 65
l /mm 10
a /mm 16.3
m /kg 0.263
E /GPa 72
S /mm² 0.0123

Table 3. Sensitivity of fiber Bragg grating tilt sensor
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Table 3. Sensitivity of fiber Bragg grating tilt sensor
Test experiment No. Sensitivity of positive stroke /[pm·(°)^-1] Sensitivity of reverse stroke /[pm·(°)^-1]
1 357.84 357.34
2 360.86 359.65
3 360.15 358.40

Table 4. Linearity error calculation of fiber Bragg grating tilt sensor

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Table 4. Linearity error calculation of fiber Bragg grating tilt sensor

Angle /(°)	Arithmetic mean value /nm	Fitted value /nm	Absolute deviation /nm
-5.0	-1.8104	-1.7940	0.0163
-4.5	-1.6439	-1.6145	0.0294
-4.0	-1.4543	-1.4350	0.0193
-3.5	-1.2757	-1.2555	0.0202
-3.0	-1.0943	-1.0760	0.0183
-2.5	-0.9058	-0.8965	0.0093
-2.0	-0.7269	-0.7170	0.0099
-1.5	-0.5374	-0.5375	0.0002
-1.0	-0.3512	-0.3580	0.0068
-0.5	-0.1575	-0.1785	0.0211
0	-0.0060	0.0010	0.0070
0.5	0.1615	0.1805	0.0190
1.0	0.3420	0.3600	0.0180
1.5	0.5157	0.5395	0.0238
2.0	0.7004	0.7190	0.0186
2.5	0.8980	0.8985	0.0005
3.0	1.0844	1.0780	0.0065
3.5	1.2514	1.2575	0.0061
4.0	1.4200	1.4370	0.0170
4.5	1.5838	1.6165	0.0327
5.0	1.7728	1.7960	0.0232

Table 5. Absolute value of maximum difference between positive and reverse stroke outputs in repeatability experiment

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Table 5. Absolute value of maximum difference between positive and reverse stroke outputs in repeatability experiment

Angle /(°)	\|ΔH_max\| in first set of experiments /nm	\|ΔH_max\| in second set of experiments /nm	\|ΔH_max\| in third set of experiments /nm
-5.0	0.0073	0.0145	0.0198
-4.5	0.0159	0.0114	0.0008
-4.0	0.0015	0.0054	0.0135
-3.5	0.0001	0.0049	0.0150
-3.0	0.0238	0.0356	0.0087
-2.5	0.0237	0.0433	0.0449
-2.0	0.0306	0.0313	0.0451
-1.5	0.0324	0.0435	0.0247
-1.0	0.0473	0.0414	0.0216
-0.5	0.0458	0.0134	0.0269
0	0.0087	0.0378	0.0024
0.5	0.0301	0.0488	0.0372
1.0	0.0458	0.0237	0.0192
1.5	0.0421	0.0460	0.0108
2.0	0.0426	0.0455	0.0210
2.5	0.0466	0.0465	0.0442
3.0	0.0386	0.0449	0.0468
3.5	0.0300	0.0292	0.0421
4.0	0.0182	0.0087	0.0095
4.5	0.0190	0.0189	0.0165
5.0	0	0	0

Table 6. Calculation results of standard deviation of positive and reverse stroke

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Table 6. Calculation results of standard deviation of positive and reverse stroke

Angle /(°)	Standard deviation of positive stroke wavelength /nm	Standard deviation of reverse stroke wavelength /nm
-5.0	0.0350	0.0410
-4.5	0.0133	0.0083
-4.0	0.0093	0.0009
-3.5	0.0061	0.0067
-3.0	0.0012	0.0131
-2.5	0.0158	0.0059
-2.0	0.0048	0.0103
-1.5	0.0153	0.0024
-1.0	0.0069	0.0044
-0.5	0.0127	0.0036
0	0.0164	0.0059
0.5	0.0043	0.0091
1.0	0.0138	0.0041
1.5	0.0130	0.0090
2.0	0.0145	0.0020
2.5	0.0104	0.0026
3.0	0.0195	0.0044
3.5	0.0091	0.0078
4.0	0.0051	0.0088
4.5	0.0097	0.0163
5.0	0.0059	0.0059

Table 7. Comparative analysis of comprehensive performance of tilt sensor

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Table 7. Comparative analysis of comprehensive performance of tilt sensor

Type of tilt sensor	Measuring range /(°)	Sensitivity /[nm·(°)^-1]	Distinguishability /(°)	Linear goodness of fitting
Long period fiber grating tilt sensor	-30--30	0.077	0.260	0.997
Tapered phase shift fiber grating optical inclinometer	30--90	0.023	0.430	0.995
Mach-Zehnder interferometer inclinometer based on long period fiber grating and offset splices	-3--3	0.935		0.978
Proposed sensor	-5--5	0.359	0.003	0.999

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Xinkui Xing, Kabin Kuang, Heying Qin. Novel Fiber Bragg Grating Tilt Sensor with High Sensitivity[J]. Acta Optica Sinica, 2022, 42(7): 0706004

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Paper Information

Category: Fiber Optics and Optical Communications

Received: --

Accepted: --

Published Online: Mar. 28, 2022

The Author Email: Qin Heying (qinheyinglcx@163.com)

DOI:10.3788/AOS202242.0706004

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Sensitivity of sensor under different size parameters and strain value at full scale (l=10 mm, a=16 mm)

Table 1. Sensitivity of sensor under different size parameters and strain value at full scale (l=10 mm, a=16 mm)

Table 2. Dimensional parameters of sensor

Table 2. Dimensional parameters of sensor

Table 3. Sensitivity of fiber Bragg grating tilt sensor

Table 3. Sensitivity of fiber Bragg grating tilt sensor

Table 4. Linearity error calculation of fiber Bragg grating tilt sensor

Table 4. Linearity error calculation of fiber Bragg grating tilt sensor

Table 5. Absolute value of maximum difference between positive and reverse stroke outputs in repeatability experiment

Table 5. Absolute value of maximum difference between positive and reverse stroke outputs in repeatability experiment

Table 6. Calculation results of standard deviation of positive and reverse stroke

Table 6. Calculation results of standard deviation of positive and reverse stroke

Table 7. Comparative analysis of comprehensive performance of tilt sensor

Table 7. Comparative analysis of comprehensive performance of tilt sensor