Speckle correlation method used to measure object's in-plane velocity

Petr Šmíd; Pavel Horváth; Miroslav Hrabovský

doi:10.1364/AO.46.003709

Applied Optics
Vol. 46,
Issue 18,
pp. 3709-3715
(2007)
•https://doi.org/10.1364/AO.46.003709

Speckle correlation method used to measure object's in-plane velocity

Petr Šmíd, Pavel Horváth, and Miroslav Hrabovský

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Petr Šmíd, Pavel Horváth, and Miroslav Hrabovský, "Speckle correlation method used to measure object's in-plane velocity," Appl. Opt. 46, 3709-3715 (2007)

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Abstract

We present a measurement of an object's in-plane velocity in one direction by the use of the speckle correlation method. Numerical correlations of speckle patterns recorded periodically during motion of the object under investigation give information used to evaluate the object's in-plane velocity. The proposed optical setup uses a detection plane in the image field and enables one to detect the object's velocity within the interval $(10 - 150) μm \cdot s^{- 1}$ . Simulation analysis shows a way of controlling the measuring range. The presented theory, simulation analysis, and setup are verified through an experiment of measurement of the velocity profile of an object.

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v _x (μm ⋅ s⁻¹)	Mean (μm ⋅ s⁻¹)	Standard Deviation (μm ⋅ s⁻¹)	Relative Uncertainty (%)
10	12.7	1.8	8.1
20	20.9	1.6	4.1
30	32.1	1.8	2.8
40	41.8	2.5	2.1
50	51.0	2.9	1.7
60	60.6	2.9	1.5
70	70.6	3.0	1.3
80	81.7	3.0	1.2
90	91.3	3.1	1.1
100	100.6	4.1	1.0
110	111.4	5.4	0.9
120	121.4	4.8	0.9
130	132.2	5.0	0.9
140	142.0	4.4	0.8
150	151.1	5.2	0.8

v _x (μm ⋅ s⁻¹)	Mean (μm ⋅ s⁻¹)	Standard Deviation (μm ⋅ s⁻¹)	Relative Uncertainty (%)
10	12.7	1.8	8.1
20	20.9	1.6	4.1
30	32.1	1.8	2.8
40	41.8	2.5	2.1
50	51.0	2.9	1.7
60	60.6	2.9	1.5
70	70.6	3.0	1.3
80	81.7	3.0	1.2
90	91.3	3.1	1.1
100	100.6	4.1	1.0
110	111.4	5.4	0.9
120	121.4	4.8	0.9
130	132.2	5.0	0.9
140	142.0	4.4	0.8
150	151.1	5.2	0.8

Δt [ms]	v _x [μm ⋅ s⁻¹]
Δt [ms]	10	30	50	70	90	110	130	150
1	0	0	0	0	0	0	0	1
2	0	0	0	0	1	1	1	1
3	0	0	1	1	1	1	1	2
4	0	0	1	1	1	2	2	2
5	0	1	1	1	2	2	2	3
6	0	1	1	1	2	2	3	3
7	0	1	1	2	2	3	3	4
8	0	1	1	2	3	3	4	4
9	0	1	2	2	3	4	4	5
10	0	1	2	2	3	4	5	5
20	1	2	4	5	6	8	9	11
30	1	3	5	7	10	12	14	16
40	1	4	7	10	13	16	19	21
50	2	5	9	12	16	20	23	27
60	2	6	11	15	19	24	28	32
70	2	7	12	17	22	27	32	37
80	3	9	14	20	26	31	37	43
90	3	10	16	22	29	35	42	48
100	4	11	18	25	32	39	46	53
110	4	12	20	27	35	43	51	59
120	4	13	21	30	39	47	56	64
130	5	14	23	32	42	51	60	70
140	5	15	25	35	45	55	65	75
150	5	16	27	37	48	59	70	80

Abstract

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Applied Optics