Design of apochromatic lens with large field and high definition for machine vision

Ao Yang; Xingyu Gao; Mingfeng Li

doi:10.1364/AO.55.005977

Applied Optics
Vol. 55,
Issue 22,
pp. 5977-5985
(2016)
•https://doi.org/10.1364/AO.55.005977

Design of apochromatic lens with large field and high definition for machine vision

Ao Yang, Xingyu Gao, and Mingfeng Li

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Ao Yang, Xingyu Gao, and Mingfeng Li, "Design of apochromatic lens with large field and high definition for machine vision," Appl. Opt. 55, 5977-5985 (2016)

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Abstract

Precise machine vision detection for a large object at a finite working distance (WD) requires that the lens has a high resolution for a large field of view (FOV). In this case, the effect of a secondary spectrum on image quality is not negligible. According to the detection requirements, a high resolution apochromatic objective is designed and analyzed. The initial optical structure (IOS) is combined with three segments. Next, the secondary spectrum of the IOS is corrected by replacing glasses using the dispersion vector analysis method based on the Buchdahl dispersion equation. Other aberrations are optimized by the commercial optical design software ZEMAX by properly choosing the optimization function operands. The optimized optical structure (OOS) has an $f$ -number (F/#) of 3.08, a FOV of $φ 60 mm$ , a WD of 240 mm, and a modulated transfer function (MTF) of all fields of more than 0.1 at $320 cycles / mm$ . The design requirements for a nonfluorite material apochromatic objective lens with a large field and high definition for machine vision detection have been achieved.

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Parameters	Values
Focal length	80 mm
FOV	$φ 60 mm$
WD	240 mm
Magnification	$- 0.133 \times$
Image resolution	$320 cycles / mm$
Size of image	8 mm
CMOS pixel size	$1.67 \times 1.67 μm$

	1	2	3	4	5	6	7	8	9	10
	H-ZK6	H-ZF3	H-ZK6	H-LaK52	H-LaK53A	H-F1	H-ZBaF5	H-ZK6	H-ZK6	H-ZF3
$n_{d}$	1.61272	1.71736	1.61272	1.72916	1.75500	1.60342	1.67103	1.61272	1.61272	1.71736
$ν_{d}$	58.58	29.50	58.58	54.68	52.32	38.01	47.29	58.58	58.58	29.50
$P_{g, F}$	0.5449	0.6019	0.5449	0.5445	0.5478	0.5828	0.5641	0.5449	0.5449	0.6019

Material	${CaF}_{2}$	H-FK61	H-FK71
$n_{d}$	1.43385	1.49700	1.45650
$n_{F} - n_{C}$	0.004890	0.006090	0.005057
$ν_{d}$	94.99	81.61	90.27

	1	2	3	4	5	6	7	8	9	10
	H-FK61	H-ZF3	H-ZK6	H-FK71	H-F13	H-FK61	H-ZLAF55C	H-FK71	H-ZK6	H-ZF3
$n_{d}$	1.49700	1.71736	1.61272	1.45650	1.62588	1.49700	1.83481	1.45650	1.61272	1.71736
$ν_{d}$	81.61	29.50	58.58	90.27	35.70	81.61	42.71	90.27	58.58	29.50
$P_{g, F}$	0.5355	0.6019	0.5449	0.5317	0.5888	0.5355	0.5634	0.5317	0.5449	0.6019

	1	2	3	4	5	6	7	8	9	10
Glass	H-FK61	H-ZF3	H-ZK6	H-FK71	H-F13	H-FK61	H-ZLAF55C	H-FK71	H-ZK6	H-ZF3
$ϕ_{j}$	0.0062	0.0153	−0.0203	0.0300	−0.0975	0.0434	−0.0281	0.0688	−0.0441	0.0774
$Y_{j}$	25.9079	18.8467	17.2989	9.979	8.1719	5.4199	3.6751	4.0673	5.7493	4.8129
$α_{j}$	0.4697	0.6134	−0.6856	0.3372	−0.7349	0.1439	−0.0428	0.1285	−0.1645	0.2024
$η_{1}$	−0.06352	−0.17042	−0.08805	−0.05743	−0.14170	−0.06352	−0.11969	−0.05743	−0.08805	−0.17042
$η_{2}$	−0.00195	0.06779	0.00278	−0.00166	0.03996	−0.00195	0.01921	−0.00166	0.00278	0.06779

Surface	Radius	Thickness	Glass	Diameter
Object surface		240		60
1	54.96	11.50	H-FK61	50
2	287.70	23.89		50
3	31.14	8.00	H-ZF3	35
4	98.68	6.51	H-ZK6	35
5	14.98	18.39		35
6	15.86	8.00	H-FK71	25
7	−73.88	1.23		25
8	1390.84	6.00	H-F1	20
9	6.59	4.69	H-FK61	15
10	13.32	18.84		15
Stop		0.50		6.20
12	26.18	5.00	H-LAF2	8
13	12.55	1.60		8
14	15.51	6.00	H-FK71	10
15	−15.36	20.92		10
16	12.67	6.86	H-ZK6	15
17	8.17	5.71	H-ZF3	15
18	10.63	4.00		10
Image surface				8

Aberrations	Value (mm)
Spherical aberration	$1.07 \times 10^{- 2}$
Coma	$- 3.31 \times 10^{- 3}$
Astigmatism	$7.12 \times 10^{- 3}$
Tangential field curvature	$1.0 \times 10^{- 3}$
Sagittal field curvature	$- 6.12 \times 10^{- 3}$
Distortion	$< 5.45 %$
Axial chromatic aberration	$1.98 \times 10^{- 5}$
Lateral chromatic aberration	$1.83 \times 10^{- 4}$
Spherochromatism	$- 5.14 \times 10^{- 3}$
$Δ L_{FCD}^{'}$	$8.02 \times 10^{- 5}$

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
Min (μm)	−200	−167	−99	−96	−5	−8	−38	−73	−200	−200	−8	−8	−24	−104	−26	−15	−14
Max (μm)	200	19	8	8	41	56	5	9	47	69	27	25	7	29	108	134	140

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
Dec-X (μm)	29	200	12	69	5	5	23	200	6	20	—	35	4	6	23	17	18	14
Dec-Y (μm)	27	200	15	79	4	4	19	200	6	19	—	39	4	6	23	22	21	20
Til-X (μm)	27	52	14	27	8	7	8	11	11	16	—	20	5	6	23	20	34	19
Til-Y (μm)	26	57	18	31	7	6	6	10	10	16	—	22	5	6	22	27	38	28

	1	2	3	4	5	6	7	8	9	10
Glass	H-FK61	H-ZF3	H-ZK6	H-FK71	H-F1	H-FK61	H-LAF2	H-FK71	H-ZK6	H-ZF3
$ϕ_{j}$	0.0074	0.0166	−0.0337	0.0340	−0.0909	0.0469	−0.0252	0.0555	−0.0112	0.0401
$Y_{j}$	24.8818	17.3766	15.7958	10.7578	8.8085	5.8255	3.2512	4.3024	6.5520	5.2684
$α_{j}$	0.5920	0.6477	−1.0865	0.5085	−0.9114	0.2057	−0.0344	0.1328	−0.0621	0.1438
$η_{1}$	−0.06352	−0.17042	−0.08805	−0.05743	−0.13359	−0.06352	−0.10713	−0.05743	−0.08805	−0.17042
$η_{2}$	−0.00195	0.06779	0.00278	−0.00166	0.03321	−0.00195	0.01013	−0.00166	0.00278	0.06779

Oper	EFFL	DMLT	AXCL	SPHA	DIMX
Target	80.00	7.7	0.00	0.00	0.10

	1	2	3	4	5	6	7	8	9	10
Glass	H-FK61	H-ZF3	H-ZK6	H-FK71	H-F1	H-FK61	H-LAF2	H-FK71	H-ZK6	H-ZF3
$ϕ_{j}$	0.0074	0.0166	−0.0337	0.0340	−0.0909	0.0469	−0.0252	0.0555	−0.0112	0.0401
$Y_{j}$	24.8818	17.3766	15.7958	10.7578	8.8085	5.8255	3.2512	4.3024	6.5520	5.2684
$α_{j}$	0.5920	0.6477	−1.0865	0.5085	−0.9114	0.2057	−0.0344	0.1328	−0.0621	0.1438
$η_{1}$	−0.06352	−0.17042	−0.08805	−0.05743	−0.13359	−0.06352	−0.10713	−0.05743	−0.08805	−0.17042
$η_{2}$	−0.00195	0.06779	0.00278	−0.00166	0.03321	−0.00195	0.01013	−0.00166	0.00278	0.06779

Oper	EFFL	DMLT	AXCL	SPHA	DIMX
Target	80.00	7.7	0.00	0.00	0.10

Abstract

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Applied Optics