Comparison of two panoramic front unit arrangements in design of a super wide angle panoramic annular lens

Xiangdong Zhou; Jian Bai; Chen Wang; Xiyun Hou; Kaiwei Wang

doi:10.1364/AO.55.003219

Applied Optics
Vol. 55,
Issue 12,
pp. 3219-3225
(2016)
•https://doi.org/10.1364/AO.55.003219

Comparison of two panoramic front unit arrangements in design of a super wide angle panoramic annular lens

Xiangdong Zhou, Jian Bai, Chen Wang, Xiyun Hou, and Kaiwei Wang

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Xiangdong Zhou, Jian Bai, Chen Wang, Xiyun Hou, and Kaiwei Wang, "Comparison of two panoramic front unit arrangements in design of a super wide angle panoramic annular lens," Appl. Opt. 55, 3219-3225 (2016)

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Abstract

In this paper, a new panoramic annular lens (PAL) with a super wide angle of $(30 ° - 120 °) \times 360 °$ is introduced that consists of two parts: a panoramic front unit (PFU) and a relay lens. First, two PFU arrangements referring to the block structured panoramic front unit (BSPFU) and the shell structured panoramic front unit are compared and analyzed in terms of their field curvature correction ability and structural feasibility for obtaining a wide angle PAL. From the comparison, the BSPFU arrangement turns out to be more promising for its good field curvature correction, structure compactness, and convenience for manufacture and assembly. Second, a relay lens composed of six lenses with three $Q_{bfs}$ aspheres has been designed to match the BSPFU. Finally, image performance analysis of the optimized super wide angle PAL is presented. The results show that the designed PAL equipped with a BSPFU and a $Q_{bfs}$ aspherized relay lens achieves good performance under a super wide field of view of $(30 ° - 120 °) \times 360 °$ .

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Parameter	Value
Working spectrum	486–656 nm
Effective focal length	−0.86 mm
FOV	$(30 ° - 120 °) \times 360 °$
Pixel size	5.5 μm
F# number	$< 4$
F-Theta distortion	$< 1 %$

	SSPFU (Glass: H-LAK52)				BSPFU (Glass: H-LAK52)
Surface No.	Radius: $r$ (mm)	Aperture: $Φ$ (mm)	$\| r / Φ \|$	$P_{i}$	Radius: $r$ (mm)	Aperture: $Φ$ (mm)	$\| r / Φ \|$	$P_{i}$
1	15.5469	24.73	0.629	0.000985	18.8104	25.06	0.751	0.000814
2	4.3123	8.33	0.518	−0.003551	−6.8333	10.31	0.663	−0.006140
3	−9.9080	15.92	0.622	−0.007325	−10.6393	3.20	3.325	0.003943
4	−6.3759	3.61	1.766	0.011384	−6.8333	3.31	2.064	0.002241
${Σ P}_{i}$	/	/	/	0.001495	/	/	/	0.000858

	Surveillance FOV: $(52 ° - 108 °) \times 360 °$			Phone Attachment FOV: $(57 ° - 100 °) \times 360 °$			Endoscope FOV: $(30 ° - 90 °) \times 360 °$
Surface No.	Radius (mm)	Glass	$P_{i}$	Radius (mm)	Glass	$P_{i}$	Radius (mm)	Glass	$P_{i}$
1	38.22	H-K9L	0.02110	7.9	H-K9L	0.01386	4	PMMA	2.7942
2	−17.54	MIRROR	−0.17807	−6	MIRROR	−0.07070	−2.05	MIRROR	−21.1167
3	−48.64	MIRROR	0.06421	−11.98	MIRROR	0.03541	−14.02	MIRROR	3.0877
4	−17.54	AIR	0.04597	−6	AIR	0.01825	−2.05	AIR	5.4521
${Σ P}_{i}$	/	/	−0.04678	/	/	−0.00317	/	/	−9.7827

Surf.	Radius	Thickness	Glass	Semi-Aperture
Obj.	Infinity	Infinity
1	18.83	11.42	H-LAK52	12.51
2	−6.82	−11.42	MIRROR	5.13
3	18.83	0.33	H-LAK52	1.58
4	−10.51	11.08	MIRROR	1.64
5	−6.82	0.20		0.95
6	4.94	1.01	H-ZBAF5	1.04
7	115.50	2.16		1.08
8	−3.61	1.00	H-ZF11	1.24
9	4.56	1.27	H-K3	1.53
10	−4.12	1.80		1.71
11	−9.44	0.99	H-QF3	2.08
12	4.24	2.39	H-LAK1	2.50
13	−5.09^b	0.38		2.62
14	2.97^b	1.68	H-ZF11	2.29
15	2.17^b	2.30		1.73
Image	Infinity			1.75

	Value
Parameter	$S_{12}$	$S_{13}$	$S_{14}$
$r_{max}$	2.9	2.3	1.8
$a_{0}$	0.0024875	0.259134	0.175417
$a_{1}$	−0.002993	−0.090375	−0.072686
$a_{2}$	−0.002916	0.029577	−0.001286
$a_{3}$	$6.2077 \times 10^{- 4}$	−0.001499	0.022207
$a_{4}$	0.0017427	−0.001225	−0.013052
$a_{5}$	0.0016123	0.0015586	0.0036216

Tolerance Items	Value
Radius (fringe)	$\leq 3$
Thickness (mm)	$\pm 0.02$
Element decenter (mm)	$\pm 0.02$
Element tilt (°)	$\pm 0.2$
Index	$\pm 0.001$
Abbe number (%)	$\pm 1$

Abstract

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Tables (6)

Equations (7)

Applied Optics