Method for path imbalance measurement of the two-arm fiber-optic interferometer

Shih-Chu Huang; Hermann Lin

doi:10.1364/AO.47.005065

Applied Optics
Vol. 47,
Issue 28,
pp. 5065-5073
(2008)
•https://doi.org/10.1364/AO.47.005065

Method for path imbalance measurement of the two-arm fiber-optic interferometer

Shih-Chu Huang and Hermann Lin

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Shih-Chu Huang and Hermann Lin, "Method for path imbalance measurement of the two-arm fiber-optic interferometer," Appl. Opt. 47, 5065-5073 (2008)

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Abstract

The path imbalance (PI) of the two-arm fiber-optic interferometric sensor is a substantial parameter; a precise value of millimeters is required. Currently the precision reflectometry and the millimeter optical time-domain reflectometry are used to measure the tiny optical path difference, but the performances of these measurements are limited from the length and the resolution of the PI. We propose a new method accomplished by interferometer to accurately measure millimeters to within a few decimeters of the PI.

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PI (mm)	98.6 (Standard)		201.2		318.1		398.4
Modulation Signal	$200 mV$		$100 mV$		$64 mV$		$50 mV$
	rad	OPD	rad	OPD	rad	OPD	rad	OPD
Data (1)	4.1238	9.8553	4.1877	200.16	4.2474	317.21	4.1559	397.28
Data (2)	4.1231	9.8538	4.1906	200.30	4.2388	316.57	4.1565	397.34
Data (3)	4.1246	9.8574	4.1877	200.16	4.2352	316.30	4.1533	397.04
Data (4)	4.1253	9.8590	4.1895	200.25	4.2332	316.15	4.1547	397.16
Data (5)	4.1268	9.8626	4.1877	200.16	4.2361	316.37	4.1551	397.21
Average	4.1247	9.86	4.1886	200.2	4.2381	316.5	4.1551	397.2
$L_{differ}$	—	—	—	1.0	—	1.6	—	1.2
S	—	0.0014	—	0.0262	—	0.1657	—	0.0462

PI (mm)	498.9		636.8		777.1		996.6
Modulation Signal	$40 mV$		$32 mV$		$26 mV$		$20 mV$
	rad	OPD	rad	OPD	rad	OPD	rad	OPD
Data (1)	4.1676	498.01	4.2599	636.30	4.2412	779.68	4.1859	1000.46
Data (2)	4.1670	497.93	4.2529	635.25	4.2409	779.64	4.1841	1000.03
Data (3)	4.1670	497.93	4.2529	635.25	4.2425	779.92	4.1874	1000.82
Data (4)	4.1687	498.14	4.2517	635.06	4.2429	780.00	4.1873	1000.79
Data (5)	4.1686	498.12	4.2593	636.21	4.2420	779.84	4.1860	1000.48
average	4.1678	498.0	4.2553	635.6	4.2419	779.8	4.1861	1000.5
$L_{differ}$	—	0.9	—	1.2	—	2.7	—	3.9
S	—	0.0406	—	0.2171	—	0.0617	—	0.1276

PI (mm)	98.6 (Standard)		201.2		318.1		398.4
Modulation Signal	$200 mV$		$100 mV$		$64 mV$		$50 mV$
	rad	OPD	rad	OPD	rad	OPD	rad	OPD
Data (1)	4.1238	9.8553	4.1877	200.16	4.2474	317.21	4.1559	397.28
Data (2)	4.1231	9.8538	4.1906	200.30	4.2388	316.57	4.1565	397.34
Data (3)	4.1246	9.8574	4.1877	200.16	4.2352	316.30	4.1533	397.04
Data (4)	4.1253	9.8590	4.1895	200.25	4.2332	316.15	4.1547	397.16
Data (5)	4.1268	9.8626	4.1877	200.16	4.2361	316.37	4.1551	397.21
Average	4.1247	9.86	4.1886	200.2	4.2381	316.5	4.1551	397.2
$L_{differ}$	—	—	—	1.0	—	1.6	—	1.2
S	—	0.0014	—	0.0262	—	0.1657	—	0.0462

PI (mm)	498.9		636.8		777.1		996.6
Modulation Signal	$40 mV$		$32 mV$		$26 mV$		$20 mV$
	rad	OPD	rad	OPD	rad	OPD	rad	OPD
Data (1)	4.1676	498.01	4.2599	636.30	4.2412	779.68	4.1859	1000.46
Data (2)	4.1670	497.93	4.2529	635.25	4.2409	779.64	4.1841	1000.03
Data (3)	4.1670	497.93	4.2529	635.25	4.2425	779.92	4.1874	1000.82
Data (4)	4.1687	498.14	4.2517	635.06	4.2429	780.00	4.1873	1000.79
Data (5)	4.1686	498.12	4.2593	636.21	4.2420	779.84	4.1860	1000.48
average	4.1678	498.0	4.2553	635.6	4.2419	779.8	4.1861	1000.5
$L_{differ}$	—	0.9	—	1.2	—	2.7	—	3.9
S	—	0.0406	—	0.2171	—	0.0617	—	0.1276

Abstract

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Equations (28)

Applied Optics