Source spectrum shaping method for low-coherence interferometry

Anna Pakuła; Sławomir Tomczewski; Leszek Sałbut

doi:10.1364/AO.54.010552

Applied Optics
Vol. 54,
Issue 35,
pp. 10552-10558
(2015)
•https://doi.org/10.1364/AO.54.010552

Source spectrum shaping method for low-coherence interferometry

Anna Pakuła, Sławomir Tomczewski, and Leszek Sałbut

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Anna Pakuła, Sławomir Tomczewski, and Leszek Sałbut, "Source spectrum shaping method for low-coherence interferometry," Appl. Opt. 54, 10552-10558 (2015)

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Abstract

Low-coherence interferometry (LCI) suffers mainly from low signal-to-noise ( $S / N$ ) ratio. By using the source spectrum shaping method (SSSM), the authors can enhance the visibility of the zero-order fringe ( $V$ ) and $S / N$ ratio in LCI. The presented approach was analyzed numerically for a set of theoretical Gaussian light sources, with different central wavelengths and different spectrum widths. The results have shown a significant improvement of the visibility $V$ . Additionally, a set of commercially available light emitting diodes was analyzed to find the best possible setup. Results of numerical calculations were verified experimentally in an SSSM low coherence Twyman–Green interferometric setup equipped with three light sources.

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$λ_{0}$ [nm]	$Δ λ$ [nm]	$V$	$S / N$	$S / N$ [dB]
365	7.5	0.0008439	1.0008	0.016885
385	10	0.0013479	1.0013	0.026977
395	11	0.0015492	1.0016	0.031009
405	12	0.0017535	1.0018	0.035101
420	15	0.0025461	1.0026	0.050988
455	25	0.0060106	1.006	0.12058
470	25	0.0056347	1.0057	0.11301
490	25	0.0051859	1.0052	0.10399
505	30	0.0070208	1.0071	0.14091
530	33	0.0077087	1.0078	0.15477
590	18	0.0018589	1.0019	0.037213
617	18	0.0017	1.0017	0.034029
625	18	0.0016568	1.0017	0.033164
660	25	0.0028634	1.0029	0.057351
740	22	0.0017654	1.0018	0.035339
780	28	0.0025723	1.0026	0.051512
880	50	0.0064235	1.0065	0.12888
940	30	0.002034	1.002	0.040722
970	50	0.0052924	1.0053	0.10613

$λ_{1}$ [nm]	$Δ λ_{1}$ [nm]	$λ_{2}$ [nm]	$Δ λ_{1}$ [nm]	$V$	$S / N$	$S / N$ [dB]
365	7.5	505	30	0.0933	1.1028	1.9580
385	10	470	25	0.1093	1.1227	2.3139
395	11	505	30	0.1175	1.1332	2.5005
405	12	490	25	0.1174	1.1331	2.4993
420	15	530	33	0.1174	1.1331	2.4985
455	25	780	28	0.1328	1.1531	2.8495
470	25	660	25	0.1148	1.1296	2.4376
490	25	405	12	0.1174	1.1331	2.4993
505	30	617	18	0.1309	1.1506	2.8059
530	33	880	50	0.1443	1.1686	3.1169
590	18	490	25	0.1129	1.1274	2.3978
617	18	505	30	0.1309	1.1506	2.8059
625	18	505	30	0.1212	1.1379	2.5835
660	25	530	33	0.1370	1.1588	2.9477
740	22	530	33	0.1351	1.1562	2.9028
780	28	455	25	0.1328	1.1531	2.8495
880	50	530	33	0.1443	1.1686	3.1169
940	30	530	33	0.0985	1.1093	2.0746
970	50	420	15	0.1047	1.1170	2.2127

$λ_{1}$ [nm]	$Δ λ_{1}$ [nm]	$λ_{2}$ [nm]	$Δ λ_{2}$ [nm]	$λ_{3}$ [nm]	$Δ λ_{3}$ [nm]	$V_{1}$	$V_{1 - 2}$	$V_{1 - 3}$	$V_{1 - 3} / V_{1}$	$V_{1 - 2} / V_{1}$	$V_{1 - 3} / V_{1 - 2}$
365	7.5	505	30	455	25	0.0008	0.0933	0.11589	137.327	110.558	1.242
385	10	470	25	530	33	0.0013	0.1093	0.10896	80.837	81.089	0.996
395	11	505	30	617	18	0.0015	0.1175	0.11942	77.085	75.845	1.016
405	12	490	25	880	50	0.0015	0.1174	0.13273	85.676	75.781	1.130
420	15	530	33	617	18	0.0025	0.1174	0.13325	52.335	46.109	1.135
455	25	780	28	505	30	0.0060	0.1328	0.13463	22.399	22.094	1.013
470	25	660	25	590	18	0.0056	0.1148	0.12432	22.063	20.373	1.082
490	25	405	12	880	50	0.0051	0.1174	0.13273	25.594	22.638	1.130
505	30	617	18	395	11	0.0070	0.1309	0.11942	17.009	18.644	0.912
530	33	880	50	617	18	0.0077	0.1443	0.14732	19.111	18.719	1.020
590	18	490	25	385	10	0.0018	0.1129	0.115	61.865	60.734	1.018
617	18	505	30	395	11	0.0017	0.1309	0.11942	70.247	77.000	0.912
625	18	505	30	740	22	0.0016	0.1212	0.11823	71.360	73.153	0.975
660	25	530	33	780	28	0.0028	0.1370	0.13421	46.871	47.845	0.979
740	22	530	33	470	25	0.0017	0.1351	0.1346	76.243	76.526	0.996
780	28	455	25	505	30	0.0025	0.1328	0.13463	52.338	51.626	1.013
880	50	530	33	617	18	0.0064	0.1443	0.14732	22.935	22.464	1.020
940	30	530	33	405	12	0.0020	0.0985	0.12281	60.379	48.426	1.246
970	50	420	15	617	18	0.0052	0.1047	0.11344	21.435	19.783	1.083

Magnification	$1.6 \times$	$0.8 \times$
Field of view	$5 mm \times 5 mm$	$10 mm \times 10 mm$
Scanning length	40 μm
$λ / 20$	1.3 nm
Detector dimensions	$8 mm \times 8 mm$
Lateral resolution	4.9 μm	9.9 μm
Illumination	single, two or three LEDs: VIS and NIR

Broadband LED	Blue LED	NIR LED	RMS [nm]
On	Off	Off	2.5
On	Off	On	1.3
On	On	On	1.5
On	On	Off	32.8
Off	Off	On	114.1
Off	On	Off	101.4
Off	On	On	55.0

Abstract

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Figures (12)

Tables (5)

Equations (5)

Applied Optics