Fiber-optic measurement of the deformation field on a remote surface using numerically processed white-light speckle

T. D. Dudderar; J. A. Gilbert

doi:10.1364/AO.21.003520

Applied Optics
Vol. 21,
Issue 19,
pp. 3520-3527
(1982)
•https://doi.org/10.1364/AO.21.003520

Fiber-optic measurement of the deformation field on a remote surface using numerically processed white-light speckle

T. D. Dudderar and J. A. Gilbert

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T. D. Dudderar and J. A. Gilbert, "Fiber-optic measurement of the deformation field on a remote surface using numerically processed white-light speckle," Appl. Opt. 21, 3520-3527 (1982)

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Abstract

Fiber optics provides a means of making optical measurements on remote or otherwise inaccessible surfaces by transmitting reflected light from that remote surface to an appropriate place and/or system for recording and analysis. In this study fields of artificially generated random speckle on the surface of a deformable test subject are transmitted at various magnifications through a coherent multimode fiber optic bundle (MMB) to a vidicon camera–digitizer system (VCD) where they are recorded for successive states of surface deformation. These results are then numerically correlated to provide a measure of that surface deformation at a number of different locations for each pair of recorded speckle fields.

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Data set	M_in	M_out	M_T = M_in × M_out	σ mm/Column	δ mm
C	0.68	1.44	0.979	0.0335	2.58
D	0.12	1.85	0.222	0.1467	4.16
E	0.06	2.09	0.119	0.2750	4.17

Image pair	Shift lines	x-Position mm	x/La	Maximum correlation	y Columns	y mm	y/δb
1	100	143.4	0.512	0.6366	76.8	2.57	0.996
	50	141.7	0.506	0.6397	76.6	2.56	0.994
	0	140.0	0.500	0.6644	77.1	2.58	1.000
	−50	138.3	0.494	0.7588	76.8	2.57	0.996
	−100	136.7	0.488	0.7893	78.1	2.61	1.013
2	100	110.9	0.396	0.1960	70.0	2.34	0.908
	50	109.2	0.390	0.5708	72.0	2.41	0.934
	0	107.5	0.384	0.8262	71.3	2.39	0.925
	−50	105.8	0.378	0.6352	71.8	2.40	0.931
	−100	104.2	0.372	0.8209	71.5	2.39	0.927
3	100	78.4	0.280	0.7029	55.0	1.84	0.713
	50	76.7	0.274	0.6199	54.8	1.83	0.711
	0	75.0	0.268	0.7578	53.1	1.78	0.689
	−50	73.3	0.262	0.7580	52.5	1.76	0.681
	−100	71.7	0.256	0.7500	53.3	1.78	0.691
4	100	45.9	0.164	0.3392	33.4	1.11	0.433
	50	44.2	0.158	0.6106	33.9	1.13	0.440
	0	42.5	0.152	0.4399	33.4	1.11	0.433
	−50	40.8	0.146	0.4401	37.8	1.26	0.490
	−100	39.2	0.140	0.3218	32.2	1.08	0.418
5	100	13.4	0.048	0.3858	9.1	0.30	0.118
	50	11.7	0.042	0.4187	5.6	0.19	0.073
	0	10.0	0.035	0.3936	58.2	1.94	0.755
	−50	8.3	0.030	0.4493	7.4	0.25	0.096
	−100	6.7	0.023	0.3871	5.6	0.19	0.072

Image pair	Shift lines	x-Position mm	x/La	Maximum correlation	y Columns	y mm	y/δb
R	100	154.7	0.552	0.4557	26.2	3.84	0.923
	75	151.0	0.539	0.4229	27.7	4.06	0.975
	50	147.3	0.526	0.5183	28.2	4.14	0.993
	25	143.7	0.513	0.6449	28.1	4.12	0.989
	0	140.0	0.500	0.3907	28.4	4.17	1.001
	−25	136.3	0.487	0.4555	28.2	4.14	0.993
	−50	132.7	0.474	0.4849	28.4	4.17	1.000
	−75	129.0	0.460	0.5019	28.6	4.19	1.004
	−100	125.3	0.448	0.4192	28.1	4.12	0.989
S	100	122.2	0.436	0.6527	27.9	4.09	0.982
	75	118.5	0.423	0.4922	27.2	3.99	0.958
	50	114.8	0.410	0.5171	26.7	3.92	0.940
	25	111.2	0.397	0.4422	26.2	3.84	0.922
	0	107.5	0.384	0.4253	26.0	3.81	0.915
	−25	103.8	0.371	0.4626	26.3	3.86	0.926
	−50	100.2	0.358	0.4891	25.5	3.74	0.898
	−75	96.5	0.345	0.3925	24.0	3.52	0.845
	−100	92.8	0.331	0.6296	23.8	3.49	0.838
T	100	89.7	0.320	0.6304	23.1	3.89	0.813
	75	86.0	0.307	0.6725	22.6	3.32	0.796
	50	82.3	0.294	0.4427	22.2	3.26	0.782
	25	78.7	0.281	0.5824	20.9	3.07	0.736
	0	75.0	0.268	0.6001	20.2	2.96	0.711
	−25	71.3	0.255	0.4687	19.9	2.92	0.700
	−50	67.7	0.242	0.4679	18.3	2.68	0.644
	−75	64.0	0.229	0.8837	17.4	2.55	0.613
	−100	60.3	0.215	0.5176	16.2	2.38	0.570
U	100	57.2	0.204	0.5565	16.1	2.36	0.567
	75	53.5	0.191	0.6724	15.8	2.32	0.556
	50	49.8	0.178	0.3975	14.1	2.06	0.496
	25	46.2	0.165	0.3883	13.8	2.02	0.486
	0	42.5	0.152	0.8797	12.0	1.76	0.428
	−25	38.8	0.139	0.5691	10.5	1.54	0.370
	−50	35.2	0.126	0.3830	9.4	1.38	0.331
	−75	31.5	0.113	0.4325	8.7	1.28	0.306
	−100	27.8	0.099	0.4631	7.8	1.14	0.275
V	100	24.7	0.088	0.6177	6.9	1.01	0.243
	75	21.0	0.075	0.3563	6.7	0.98	0.236
	50	17.3	0.062	0.3550	5.9	0.87	0.208
	25	13.7	0.049	0.3026	3.8	0.55	0.133
	0	10.0	0.036	0.5446	3.0	0.44	0.106
	−25	6.3	0.023	0.2510	2.1	0.31	0.074
	−50	2.7	0.010	0.3957	1.8	0.26	0.063
	−75	−1.0	−0.004	0.2403	0.2	0.03	0.007
	−100	−4.7	−0.017	0.4026	−0.7	−0.10	−0.025

Image pair	Shift lines	x-Position mm	x/La	Maximum correlation	y Columns	y mm	y/δb
J	99	157.2	0.562	0.5583	13.9	3.82	0.917
	66	148.2	0.529	0.5735	15.6	4.92	1.029
	33	139.1	0.497	0.6155	15.5	4.26	1.022
	0	130.0	0.464	0.4475	15.0	4.13	0.989
	−33	120.9	0.432	0.1439	17.8	4.90	1.174
	−99	111.9	0.399	0.3125	14.6	4.02	0.963
	−99	102.8	0.367	0.4657	13.9	3.82	0.917
K	99	97.2	0.347	0.8040	13.1	3.60	0.864
	66	88.2	0.315	0.5070	12.0	3.30	0.793
	33	79.1	0.282	0.5063	11.4	3.14	0.752
	0	70.0	0.250	0.1474	9.1	2.50	0.600
	−33	60.9	0.218	0.4178	9.1	2.50	0.600
	−66	51.9	0.185	0.3343	8.1	2.23	0.534
	−99	42.8	0.153	0.4452	6.8	1.87	0.449
L	99	57.2	0.204	0.7815	9.0	2.48	0.594
	66	48.2	0.172	0.3601	7.7	2.12	0.508
	33	39.1	0.140	0.1610	0.1	0.03	0.007
	0	30.0	0.107	0.2620	4.6	1.27	0.303
	−33	20.9	0.075	0.1941	3.5	0.96	0.231
	−66	11.9	0.042	0.2323	1.5	0.41	0.099
	−99	2.8	0.010	0.4795	0.2	0.06	0.013

Data set	M_in	M_out	M_T = M_in × M_out	σ mm/Column	δ mm
C	0.68	1.44	0.979	0.0335	2.58
D	0.12	1.85	0.222	0.1467	4.16
E	0.06	2.09	0.119	0.2750	4.17

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Applied Optics