Measurement of Lens-Center Thickness Based on Low-Coherence Interference with Transmitted Illumination

Jingyou Liu; Feng Lei

doi:10.3788/LOP56.121201

Journals >Laser & Optoelectronics Progress >Volume 56 >Issue 12 >Page 121201 > Article

Laser & Optoelectronics Progress
Vol. 56, Issue 12, 121201 (2019)

Measurement of Lens-Center Thickness Based on Low-Coherence Interference with Transmitted Illumination

Jingyou Liu^1、2、* and Feng Lei^1、2

Author Affiliations

¹ School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huai'an, Jiangsu 223300, China

² Key Laboratory of Huai'an's Micro-Nano Optical Imaging, Huai'an, Jiangsu 223300, China

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DOI: 10.3788/LOP56.121201 Cite this Article Set citation alerts

Jingyou Liu, Feng Lei. Measurement of Lens-Center Thickness Based on Low-Coherence Interference with Transmitted Illumination[J]. Laser & Optoelectronics Progress, 2019, 56(12): 121201 Copy Citation Text

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Fig. 1. Principle diagram for measuring lens-center thickness based on low-coherence interference with transmitted illumination

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Fig. 2. Principle diagram for adjusting optical path difference using pair of wedge prisms

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Fig. 3. Equal-path interference fringes before and after lens. (a) Before lens; (b) after lens

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Fig. 3. [in Chinese]

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Fig. 4. Method for extending measuring range of lens-center thickness

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n_P	n	Δx /μm	θ	sinθ	Δt_C /nm
			5°44'	0.1	±200
n_P	n=n_P	±2	2°52'	0.05	±100
			1°26'	0.025	±50
			6°12'	0.10799	±200
1.47590	1.51390	±2	3°5'	0.05399	±100
			1°33'	0.02700	±50
			5°20'	0.09260	±200
1.51390	1.47590	±2	2°39'	0.04630	±100
			1°20'	0.02315	±50

Table 1. Measuring precision under different conditions

No.	Nominal value of tested lens			Measured value of center thickness
No.	Dimeter ϕ /mm	Focal length f' /mm	Center thickness T_C /mm	(t_C±δ) /mm	Relative error /%
5	25.4	-150.0	3.0±0.1	2.9286±0.0009	0.03
7	12.7	-25.4	2.0±0.1	2.0151±0.0008	0.04
9	12.7	150.0	4.0±0.1	4.0581±0.0009	0.02
12	25.4	100.0	4.0±0.1	4.0375±0.0009	0.02
13	25.4	-150.0	3.0±0.1	2.7990±0.0011	0.04
14	25.4	400.0	3.5±0.1	3.5294±0.0008	0.02
18	10.0	-20.0	1.5±0.1	1.4743±0.0010	0.07
19	6.0	-9.80	1.0±0.1	1.1094±0.0006	0.05

Table 2. Measuring results of lens-center thickness based on pair of edge prisms with wedge angle of 10°0'

No.	Nominal value of tested lens			Measured value of center thickness
No.	Dimeter ϕ /mm	Focal length f' /mm	Center thickness T_C /mm	(t_C±δ) /mm	Relative error /%
5	25.4	-150.0	3.0±0.1	2.9227±0.0002	0.01
7	12.7	-25.4	2.0±0.1	2.0139±0.0009	0.05
13	25.4	-150.0	3.0±0.1	2.7980±0.0007	0.02
14	25.4	400.0	3.5±0.1	3.5226±0.0009	0.02
18	10.0	-20.0	1.5±0.1	1.4778±0.0006	0.04
19	6.0	-9.80	1.0±0.1	1.1044±0.0005	0.05

Table 3. Measuring results of lens-center thickness based on pair of edge prisms with wedge angle of 5°30'

No.	Nominal value of tested plate or lens			Measurement		Corrected measurement
No.	Dimeterϕ /mm	Focal lengthf' /mm	Center thicknessT_C /mm	(t_C±δ) /mm	Relativeerror /%	(t_C±δ) /mm	Relativeerror /%
1	-	-	2.2±0.1	2.2331±0.0008	0.04	-	-
2	-	-	3.8±0.1	3.8447±0.0011	0.03	-	-
8	25.4	150	5.0±0.1	2.8073±0.0009	0.03	5.0404±0.0012	0.02
17	25.4	30	8.1±0.1	4.2573±0.0011	0.02	8.1020±0.0016	0.02

Table 4. Examples for expanding measuring range

Jingyou Liu, Feng Lei. Measurement of Lens-Center Thickness Based on Low-Coherence Interference with Transmitted Illumination[J]. Laser & Optoelectronics Progress, 2019, 56(12): 121201

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