Geometrical parameter analysis of a high-sensitivity fiber optic angular displacement sensor

João M. S. Sakamoto; Gefeson M. Pacheco; Cláudio Kitano; Bernhard R. Tittmann

doi:10.1364/AO.53.008436

Applied Optics
Vol. 53,
Issue 36,
pp. 8436-8443
(2014)
•https://doi.org/10.1364/AO.53.008436

Geometrical parameter analysis of a high-sensitivity fiber optic angular displacement sensor

João M. S. Sakamoto, Gefeson M. Pacheco, Cláudio Kitano, and Bernhard R. Tittmann

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João M. S. Sakamoto, Gefeson M. Pacheco, Cláudio Kitano, and Bernhard R. Tittmann, "Geometrical parameter analysis of a high-sensitivity fiber optic angular displacement sensor," Appl. Opt. 53, 8436-8443 (2014)

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Abstract

In this work, we present an analysis of the influence of geometrical parameters on the sensitivity and linear range of a fiber optic angular displacement sensor, through computational simulations and experiments. The geometrical parameters analyzed are the lens focal length, the gap between fibers, the fiber cladding radii, the emitting fiber critical angle (or, equivalently, the emitting fiber numerical aperture), and the standoff distance (distance between the lens and the reflective surface). Besides, we analyze the sensor sensitivity regarding any spurious linear displacement. The simulation and experimental results show that the parameters that play the most important roles are the emitting fiber core radius, the lens focal length, and the light coupling efficiency, whereas the remaining parameters have little influence on the sensor characteristics.

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$a$ (μm)
			1.8	25	52.5
$a_{R}$ (μm)	1.8	NS	$(3.4 \times V_{\max})$	$(0.6 \times V_{\max})$	$(0.3 \times V_{\max})$
		LR (μrad)	140	785	1411
	25	NS	$(2.4 \times V_{\max})$	$(0.4 \times V_{\max})$	$(0.3 \times V_{\max})$
		LR (μrad)	176	1123	1584
	52.5	NS	$(2.5 \times V_{\max})$	$(0.4 \times V_{\max})$	$(0.2 \times V_{\max})$
		LR (μrad)	169	1138	2063

$f_{L}$ (mm)	Normalized Sensitivity (mV/μrad)	Linear Range (μrad)	Operation Point (V)	Nonlinearity (%)
6	$(3.4 \times V_{\max})$	140	$(0.6 \times V_{\max})$	0.98
20	$(4.7 \times V_{\max})$	94	$(0.6 \times V_{\max})$	0.95
50	$(7.8 \times V_{\max})$	61	$(0.6 \times V_{\max})$	0.93

$δ$ (μm)	Normalized Sensitivity (mV/μrad)	Linear Range (μrad)	Operation Point (V)	Nonlinearity (%)
0	$(3.4 \times V_{\max})$	140	$(0.6 \times V_{\max})$	0.98
125	$(3.4 \times V_{\max})$	140	$(0.6 \times V_{\max})$	0.98
250	$(3.4 \times V_{\max})$	140	$(0.6 \times V_{\max})$	0.98

$N A$	$ξ_{o}$ (rad)	Normalized Sensitivity (mV/μrad)	Linear Range (μrad)	Operation Point (V)	Nonlinearity (%)
0.1	0.100	$(2.41 \times V_{\max})$	198	$(0.58 \times V_{\max})$	0.99
0.2	0.201	$(2.39 \times V_{\max})$	194	$(0.58 \times V_{\max})$	0.96
0.3	0.305	$(2.38 \times V_{\max})$	198	$(0.58 \times V_{\max})$	0.97

$Z_{1}$ (mm)	Normalized Sensitivity (mV/μrad)	Linear Range (μrad)	Operation Point (V)	Nonlinearity (%)
32	$(3.4 \times V_{\max})$	140	$(0.6 \times V_{\max})$	0.98
57	$(3.4 \times V_{\max})$	137	$(0.6 \times V_{\max})$	0.97
82	$(3.4 \times V_{\max})$	137	$(0.6 \times V_{\max})$	0.95
107	$(3.4 \times V_{\max})$	129	$(0.6 \times V_{\max})$	0.99
132	$(3.4 \times V_{\max})$	126	$(0.6 \times V_{\max})$	0.99

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Applied Optics