Design of dual-band infrared zoom lens with multilayer diffractive optical elements

Bo Zhang; Qingfeng Cui; Mingxu Piao; Yang Hu

doi:10.1364/AO.58.002058

Applied Optics
Vol. 58,
Issue 8,
pp. 2058-2067
(2019)
•https://doi.org/10.1364/AO.58.002058

Design of dual-band infrared zoom lens with multilayer diffractive optical elements

Bo Zhang, Qingfeng Cui, Mingxu Piao, and Yang Hu

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Bo Zhang, Qingfeng Cui, Mingxu Piao, and Yang Hu, "Design of dual-band infrared zoom lens with multilayer diffractive optical elements," Appl. Opt. 58, 2058-2067 (2019)

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Abstract

A mid-wave infrared (MWIR)/long-wave infrared (LWIR) dual-band zoom lens design with multilayer diffractive optical elements (MLDOEs) is presented. The mathematical relationship between the substrate material selection for dual-band MLDOE and polychromatic integral diffraction efficiency (PIDE) is deduced in the oblique incident situation, and further, a method for optimal selection of substrate material is proposed to obtain the high PIDE in an incident angle range. In the optimization process, the optimal substrate material combination is selected based on the proposed method, and the principle of lens material replacement is discussed. After optimization, the $5 \times$ hybrid dual-band infrared zoom system is obtained, which consists of seven lenses. The modulation transfer function values in all configurations are larger than 0.5 and 0.3 in MWIR and LWIR, respectively. The distortion values are less than 2% both in MWIR and LWIR for all configurations.

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Parameters	Values
Focal length	30–150 mm
Zoom ratio	5
$F$ -number	1.7
Wavelength	3.7–4.8 μm (MWIR) and 8–11 μm (LWIR)
Pixel number	$640 \times 512$
Pixel size	$17 μm \times 17 μm$
Effective area	$10.88 mm \times 8.704 mm$
Image height	7 mm
Half field angle	13.13°–2.67°

Substrate Material Combination	$Δ {\bar{η}}_{m}^{Compre} (λ)$ (%)
ZNSE-ZNS	0.23
GASIR1-ZNS	0.29
GASIR1-ZNSE	0.34
IRG26-ZNS	1.96
IRG26-ZNSE	9.50
GE-ZNS	45.24
GE-ZNSE	75.78

Material	Refractive Index		Abbe Number
Material	MWIR	LWIR	MWIR	LWIR
GE	4.0223	4.0044	260.4	946.9
ZNSE	2.4322	2.4064	350.1	81.4
ZNS	2.2511	2.1999	198.3	32.7
GASIR1	2.5092	2.4944	426.8	169.2
IRG26	2.7936	2.7781	380.7	222.1

Surface	Type	Radius (mm)	Thickness (mm)	Glass
0	Standard	Infinity	Infinity
1	Standard	844.534	20	ZNS
2	Binary 2 ^a	295	0.005
3	Binary 2 ^a	295	25	ZNSE
4	Standard	−6357.39	d4, zoom
5	EA ^b	−512.913	11	GE
6	Standard	627.229	d6, zoom
7	EA ^b	148.559	16	GASIR1
8	EA ^b	−594.233	d8, zoom
Stop	Standard	Infinity	0.5
10	Standard	47.36	4.3	ZNSE
11	EA ^b	128.077	1.8
12	EA ^b	−45.899	3.5	ZNS
13	Standard	Infinity	26.1
14	EA ^b	18.315	7	GASIR1
15	EA ^b	20.388	7.2
16 ^c	Standard	Infinity	1	GE
17 ^c	Standard	Infinity	2
Image	Standard	Infinity	-	-

Surface	Polynomial Coefficient
Surface	$α_{2}$	$α_{3}$	$α_{4}$
5	$- 1.70433 \times 10^{- 8}$	$9.78632 \times 10^{- 12}$	$- 2.03594 \times 10^{- 15}$
7	$- 7.47490 \times 10^{- 8}$	$- 7.80928 \times 10^{- 13}$	$5.69995 \times 10^{- 15}$
8	$- 2.09790 \times 10^{- 8}$	$2.04979 \times 10^{- 11}$	$1.61618 \times 10^{- 15}$
11	$4.00398 \times 10^{- 6}$	$- 2.16518 \times 10^{- 8}$	$2.85551 \times 10^{- 10}$
12	$1.58547 \times 10^{- 5}$	$- 4.23254 \times 10^{- 8}$	$3.46381 \times 10^{- 10}$
14	$- 9.20711 \times 10^{- 6}$	$- 2.99422 \times 10^{- 10}$	$- 4.30237 \times 10^{- 10}$
15	$1.72031 \times 10^{- 7}$	$- 8.48429 \times 10^{- 8}$	$- 1.19634 \times 10^{- 9}$

Parameter	Configuration
Parameter	Short	Middle	Long
EFL (mm)	30	90	150
HFOV (°)	13.13	4.45	2.67
d4 (mm)	71.5769	166.0112	180.4941
d6 (mm)	164.8684	44.0480	0.4988
d8 (mm)	38.1527	64.5389	93.6089

FOV	Incident Angle(°)
FOV	Short	Middle	Long
0.5	1.3	2.95	3.56
0.707	1.87	4.22	5.08
0.85	2.28	5.12	6.17
1	2.75	6.11	7.35

Zoom	Minimum MTF
Zoom	MWIR	LWIR
Short	0.525	0.363
Middle	0.556	0.347
Long	0.570	0.310

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Applied Optics