Apochromatic lens design in the short-wave infrared band using the Buchdahl dispersion model

Wei Wang; Xing Zhong; Jiang Liu; Xiaoheng Wang

doi:10.1364/AO.58.000892

Applied Optics
Vol. 58,
Issue 4,
pp. 892-903
(2019)
•https://doi.org/10.1364/AO.58.000892

Apochromatic lens design in the short-wave infrared band using the Buchdahl dispersion model

Wei Wang, Xing Zhong, Jiang Liu, and Xiaoheng Wang

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Wei Wang, Xing Zhong, Jiang Liu, and Xiaoheng Wang, "Apochromatic lens design in the short-wave infrared band using the Buchdahl dispersion model," Appl. Opt. 58, 892-903 (2019)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

Chromatic aberration is an important artifact that influences image quality. Thus, it should be optimized during lens design. However, the typical combination and selection method of glass materials for the visible band can hardly satisfy the apochromatic requirements of short-wave infrared (SWIR) lenses. Therefore, we propose a method of glass selection for apochromatic lens design in the SWIR band through vector operation based on the Buchdahl model and third-order aberration theory. The proposed method overcomes limitations of traditional methods and unstable calculation results of special material properties. A design example is presented, which indicates that the proposed method can correct the secondary spectrum in the SWIR band and simplify the design using ordinary mass-produced glasses.

Full Article | PDF Article

More Like This

Glass selection for airspaced apochromats using the Buchdahl dispersion equation

Robert D. Sigler
Appl. Opt. 25(23) 4311-4320 (1986)

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

Ao Yang, Xingyu Gao, and Mingfeng Li
Appl. Opt. 55(22) 5977-5985 (2016)

VIS-NIR superachromatic triplet design with five-color correction for a broadband interferometer

Qi Lu, Yifan Ding, Wei Wang, Shijie Liu, and Min Xu
Appl. Opt. 61(30) 8880-8888 (2022)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (15)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (9)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (24)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Catalog	Range of $α$	Optimum $α$	Max. Error	Glass
Schott	0.0071–0.8058	0.325	$6.2954 \times 10^{- 5}$	N-KZFS2
CDGM	0.0253–0.7636	0.412	$2.0915 \times 10^{- 5}$	ZF52
Corning	0.0456–0.6535	0.411	$1.4386 \times 10^{- 5}$	E0525
SUMITA	0.0432–0.8049	0.462	$3.6699 \times 10^{- 5}$	KPSFN173
Pilkington	0.0145–0.9054	0.433	$1.0729 \times 10^{- 4}$	JLAK8

Material	$N_{0}$	$ν_{1}$	$ν_{2}$	$ν_{3}$	Max. Error
${CaF}_{2}$	1.42722	−0.004915	−0.000888	−0.002316	$3.021204 \times 10^{- 6}$
Silica	1.44714	−0.010405	−0.006511	−0.007111	$5.397995 \times 10^{- 6}$
H-FK61	1.48785	−0.007077	−0.001479	−0.003239	$3.103174 \times 10^{- 6}$
ZF12	1.72755	−0.021045	−0.002266	−0.012215	$8.360192 \times 10^{- 6}$
BK7	1.50372	−0.012059	−0.012059	−0.005197	$3.307846 \times 10^{- 5}$
N-SF66	1.87225	−0.027296	0.0030493	−0.014697	$2.113214 \times 10^{- 5}$

Glass Combination	$α_{1}$	$α_{2}$	$α_{3}$	Length
H-FK61/H-K3/ZF52	2.4302	−1.0651	−0.3650	$7.7159 \times 10^{- 5}$
H-FK61/H-F51/TF3	2.2424	−0.0992	−1.1432	$9.0584 \times 10^{- 5}$
H-FK61/H-K9L/ZF52	2.5610	−1.2000	−0.3636	$3.2415 \times 10^{- 4}$
H-FK61/H-F51/H-ZBaF1	2.7000	−0.3191	−1.3806	$1.3640 \times 10^{- 4}$
H-FK61/H-F51/H-ZK5	2.6977	−0.4493	−1.2485	$8.6891 \times 10^{- 4}$

Glass Combination	$α_{1}$	$α_{2}$	Length
H-FK61/H-K12	3.0703	−2.0703	0.0014
H-FK61/TF3	2.3393	−1.3393	0.0015
H-FK61/H-F4	2.0265	−1.0265	0.0026
H-FK61/H-ZF3	1.7586	−0.7586	0.0034
H-FK61/ZF12	1.8282	−0.8282	0.0050

Items	Requirements
Focal length	137.5 mm
Operating wavelength	1.0–1.7 μm
Relative aperture	1:4
Detector	$640 \times 512 pixels$
Pixel size	$25 \times 25 μm$

Lens	Front Surface	Back Surface
$r_{1} > 0$ $r_{2} < 0$	$Reduce ↓$	$Reduce ↓$
$r_{1} < 0$ $r_{2} > 0$	$Rise ↑$	$Rise ↑$
$r_{1} > 0$ $r_{2} > 0$	$Rise ↑$	$Reduce ↓$
$r_{1} < 0$ $r_{2} < 0$	$Reduce ↓$	$Rise ↑$

Items	Value
$Surface irregular / λ$	0.2–0.5
Radius/mm	0.1–0.15
Thickness/mm	0.01–0.02
Decenter/mm	0.01–0.02
Tilt	30”–50”
Refractive index	$3 \times 10^{- 4} â€“ 5 \times 10^{- 4}$
Abbe number	0.5%–1.0%

Glass	ZF52	H-FK61	H-K9L	H-FK61	H-ZF3
$n_{0}$	1.8059	1.4878	1.5038	1.4878	1.6863
$ϕ_{0}$ (norm)	−0.3636	2.5610	−1.2000	1.8285	−0.8285
$r_{1}$	46.52	37.86	−32.41	−49.89	47.96
$r_{2}$	37.86	−32.41	−206.96	47.96	130.20

Glass	ZF52	H-FK61	H-K9L	H-FK61	H-ZF3
$n_{0}$	1.8059	1.4878	1.5038	1.4878	1.6863
$ϕ_{0}$	−0.003967	0.027938	−0.013091	−0.016623	0.007532
$r_{1}^{'} / mm$	48.71	33.46	−32.41	−49.89	48.63
$r_{2}^{'} / mm$	37.86	−32.41	−215.4909	49.22	130.20
$d_{center} / mm$	4	11.5	4	4	4.5
$d_{rim} / mm$	4.5	3.2	7.8	7.4	3.4

Glass	ZF52	H-FK61	H-K9L	H-FK61	H-ZF3
$n_{0}$	1.8059	1.4878	1.5038	1.4878	1.6863
$ϕ_{0}$ (norm)	−0.3636	2.5610	−1.2000	1.8285	−0.8285
$r_{1}$	46.52	37.86	−32.41	−49.89	47.96
$r_{2}$	37.86	−32.41	−206.96	47.96	130.20

Glass	ZF52	H-FK61	H-K9L	H-FK61	H-ZF3
$n_{0}$	1.8059	1.4878	1.5038	1.4878	1.6863
$ϕ_{0}$	−0.003967	0.027938	−0.013091	−0.016623	0.007532
$r_{1}^{'} / mm$	48.71	33.46	−32.41	−49.89	48.63
$r_{2}^{'} / mm$	37.86	−32.41	−215.4909	49.22	130.20
$d_{center} / mm$	4	11.5	4	4	4.5
$d_{rim} / mm$	4.5	3.2	7.8	7.4	3.4

Abstract

Cited By

Figures (15)

Tables (9)

Equations (24)

Applied Optics