High-performance compact athermal panoramic annular lens design with separated radial optical power

Chengxi Zhu; Jia Wang; Wenhui Fei; Weidong Fang; Jian Bai

doi:10.1364/AO.465741

Applied Optics
Vol. 61,
Issue 25,
pp. 7292-7300
(2022)
•https://doi.org/10.1364/AO.465741

High-performance compact athermal panoramic annular lens design with separated radial optical power

Chengxi Zhu, Jia Wang, Wenhui Fei, Weidong Fang, and Jian Bai

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Chengxi Zhu, Jia Wang, Wenhui Fei, Weidong Fang, and Jian Bai, "High-performance compact athermal panoramic annular lens design with separated radial optical power," Appl. Opt. 61, 7292-7300 (2022)

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Abstract

A panoramic annular lens can provide abundant spatial information in real time with its compact and scalable structure. To deal with extreme temperature environments and to improve the utilization of an image plane, we propose a high-performance compact athermal panoramic annular lens with separated radial optical power. By introducing multiple free-form surfaces, the system achieves a field of view of $({40}^\circ {\sim}{100}^\circ) \times {360}^\circ$, an $f$-number of 2.2, and a total length of 40 mm. The modulation transfer function of the system’s full fields of view is greater than 0.5 at 200 lp/mm, and the distortion is less than 2.5%. It can work stably in the range of ${-}{30}^\circ{\rm C}$ to 70°C. The proposed system is compact, athermal, and high-performing and has broad application prospects in the fields of visual positioning and biomedicine.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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System Parameters	Value
Working spectrum	486–656 nm
Effective focal length	0.756 mm ( $x$ direction), 1.001 mm ( $y$ direction)
Maximum image height	1.313 mm ( $x$ direction), 1.734 mm ( $y$ direction)
FOV	$(40^{\circ} \sim 100^{\circ}) \times 360^{\circ}$
$f$ -number	$< 2.2$
Total length	40.00 mm

Tolerance Items	Value
Radius (fringe)	$\leq 2$
Thickness (mm)	$\pm 0.01$
Element decenter	$\pm 0.01$
Element tilt (°)	$\pm 0.1$
Index	$\pm 0.001$
Abbe number (%)	$\pm 1$

System Parameters	Designed System	System A	System B
MTF	$> 0.5$ (at 200 lp.mm)	$> 0.35$ (at 91 lp.mm)	$> 0.4$ (at 147 lp.mm)
FOV	$(40^{\circ} \sim 100^{\circ}) \times 360^{\circ}$	$(40^{\circ} \sim 95^{\circ}) \times 360^{\circ}$	$(30^{\circ} \sim 100^{\circ}) \times 360^{\circ}$
$f$ -number	$< 2.2$	$< 4.5$	$< 4.7$
Distortion	$< 2.5 %$	$< 0.5 %$	$< 1.0 %$
Total length	40.00 mm	98.00 mm	79.50 mm
Number of lenses	6	7	10

System Parameters	Value
Working spectrum	486–656 nm
Effective focal length	0.756 mm ( $x$ direction), 1.001 mm ( $y$ direction)
Maximum image height	1.313 mm ( $x$ direction), 1.734 mm ( $y$ direction)
FOV	$(40^{\circ} \sim 100^{\circ}) \times 360^{\circ}$
$f$ -number	$< 2.2$
Total length	40.00 mm

Tolerance Items	Value
Radius (fringe)	$\leq 2$
Thickness (mm)	$\pm 0.01$
Element decenter	$\pm 0.01$
Element tilt (°)	$\pm 0.1$
Index	$\pm 0.001$
Abbe number (%)	$\pm 1$

Abstract

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Equations (7)

Applied Optics