Three-dimensional model of thermal-induced optical phase shifts in rotation sensing

Xuyou Li; Weiwei Ling; Yanhui Wei; Zhenlong Xu

doi:10.3788/COL201513.090603

Journals >Chinese Optics Letters >Volume 13 >Issue 9 >Page 090603 > Article

Chinese Optics Letters
Vol. 13, Issue 9, 090603 (2015)

Three-dimensional model of thermal-induced optical phase shifts in rotation sensing

Xuyou Li, Weiwei Ling, Yanhui Wei^*, and Zhenlong Xu

Author Affiliations

Harbin Engineering University, College of Automation, Harbin, Heilongjiang 150001, China

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DOI: 10.3788/COL201513.090603 Cite this Article Set citation alerts

Xuyou Li, Weiwei Ling, Yanhui Wei, Zhenlong Xu. Three-dimensional model of thermal-induced optical phase shifts in rotation sensing[J]. Chinese Optics Letters, 2015, 13(9): 090603 Copy Citation Text

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Fig. 1. Typical thermal-induced pressure of the fiber core.

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Fig. 2. Setting (red solid line) and testing (blue dashed line) temperature: (a) first temperature load scheme and (b) second temperature load scheme.

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Fig. 3. Fiber coil and housing: (a) simulation profile and (b) experimental environment diagram.

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Fig. 4. Calculation of rate error ΩE1 (red dash–dot line), ΩE2 (black dotted line), and ΩE (blue solid line): (a) first simulation and (b) second simulation.

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Fig. 5. Rate errors of IFOG in simulation (blue solid line) and experiment (black dash–dot line): (a) first experiment and (b) second experiment.

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Parameters	Values
Length of the Fiber Coil $L$ (m)	998
Outer Radius $R_{out}$ of the Fiber Coil (cm)	6.05
Inner Radius $R_{in}$ of the Fiber Coil (cm)	5.5
Coil Height $H$ (cm)	1.3
Number of Winding Layers $M$	40
Number of Loops per Layer $N$	68
Effective Index of Fiber Core $n$	1.44
Thermo-optic Coefficient $\partial n / \partial T$	$1.0 \times 10^{- 5}$
Photoelastic Coefficients $P_{11}$ and $P_{12}$	0.121 and 0.270

Table 1. Parameters of the Fiber Coil

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Parameters	Al Alloy	Core	Coating	Glue
Density $ρ$ $(kg / m^{3})$	2740	2203	1190	970
Specific heat $c$ $(J / (kg \cdot K))$	896	703	1400	1600
Thermal conductivity $λ$ $(W / (m \cdot K))$	221	1.38	0.21	0.21
Poisson’s ratio $ν$	0.35	0.186	0.4	0.499
Young’s modulus (GPa)	70	76
Coefficient $α$ $(K^{- 1})$	$2.3 \times 10^{- 5}$	$5.5 \times 10^{- 7}$

Table 2. Parameters for Calculation

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$T$ (°C)	Young’s Modulus $E_{coating}$ (GPa)	Thermal Expansion Coefficient $α_{coating}$ (1/K)	Young’s Modulus $E_{glue}$ (MPa)	Thermal Expansion Coefficient $α_{glue}$ (1/K)
−40	1.820	$5 \times 10^{- 5}$	85	$1.5 \times 10^{- 4}$
−20	1.66	$5 \times 10^{- 5}$	22	$2 \times 10^{- 4}$
0	1.622	$5 \times 10^{- 5}$	6	$2.3 \times 10^{- 4}$
20	1.585	$7 \times 10^{- 5}$	1	$2.3 \times 10^{- 4}$
40	1.259	$1.2 \times 10^{- 4}$	1	$2.3 \times 10^{- 4}$
60	0.794	$1.5 \times 10^{- 4}$	1	$2.3 \times 10^{- 4}$

Table 3. Parameters of the Coating Material and Glue Material for our Optical Fiber at Different Temperatures

Xuyou Li, Weiwei Ling, Yanhui Wei, Zhenlong Xu. Three-dimensional model of thermal-induced optical phase shifts in rotation sensing[J]. Chinese Optics Letters, 2015, 13(9): 090603

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