Journal of the European Optical Society - Rapid publications, Vol 11 (2016)

Ultra-wide angle lens design with relative illumination analysis

W.-S. Sun, C.-L. Tien, Y.-H. Chen, P.-Y. Chu


An ultra-wide angle lens design with relative illumination analysis is presented. The half field angle of 80°, the relative illumination of the image plane will be reduced. It is necessary to increase the image numerical aperture ratio for X and Y direction, and decrease the angle between the chief ray and optical axis in the image space. However the ultra-wide angle lens induces great barrel distortion causing image extrusion. Therefore, we use F-theta distortion to replace optical distortion. Seven lenses and two pieces of flat glass are used for a sensor 1/6” sensor with 2.1 million pixels. The final result for the lens is a half viewing angle of 80°, F/2.4, a focal length 1.1 mm, a length of 22.37 mm, F-theta distortion of less than 2%, and relative illumination greater than 83%.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2016.16001]

Full Text: PDF

Citation Details

Cite this article


R. W. Wood, Physical optics (Macmillan, New York, 1911).

W. N. Bond, ”A wide angle lens for cloud recording,” Philosophical Magazine 44, 999–1001 (1922).

C. Beck, ”Apparatus to photograph the whole sky,” J. Sci. Instrum. 2, 135–139 (1924).

R. Hill, ”A lens for whole sky photography,” in Proceedings to the 3rd Optical Convention, 878–883 (Imperial College of Science and Technology, South Kensington, London, 1926).

J. Y. Zheng, and S. Li, ”Employing a fish-eye for scene tunnel scanning,” in Proceedings to the 7th Asian Conference on Computer Vision, 509–518 (AFCV, Hyderabad, India, 2006).

W. Feng, B. Zhang, J. Röning, Z. Cao, and X. Zong, ”An embedded omnidirectional vision navigator for automatic guided vehicles,” Proc. SPIE 7878, 78780N (2011).

Z. Huang, J. Bai, and X. Hou, ”A multi-spectrum fish-eye lens for rice canopy detecting,” Proc. SPIE 7849, 78491Z (2010).

W. Li, and Y. F. Li, ”Single-camera panoramic stereo imaging system with a fisheye lens and a convex mirror,” Opt. Express 19, 5855–5867 (2011).

M. Laikin, ”Wide angle lens systems,” Proc. SPIE 0237, 530–533 (1980).

W. Wöltche, ”The influence of back focus determination on wideangle lens design,” Proc. SPIE 0399, 210–216 (1983).

C. L. Lin, ”Wide angle lens module and vehicle vision system,” U. S. Patent US7944626 (2011).

A. Ning, ”Compact fisheye objective lens,” U. S. Patent US7023628 (2006).

M. Kawada, ”Fisheye lens unit,” U. S. Patent US7283312 (2007).

G. I. Kweon, Y. H. Choi, and M. Laikin, ”Fisheye lens for image processing applications,” J. Opt. Soc. Korea 12, 79–87 (2008).

Synopsys, Code V Electronic Document Library, Version 10.5, Lens System Setup for Reference Manuals, Chap. 1, p 35. (2012).

E. T. Burle, Electro-optics handbook (second edition, McGraw-Hill, New York, 2000).

M. P. Rimmer, ”Relative illumination calculations,” Proc. SPIE 655, 99–104 (1986).

R. Kingslake, Optical system design (Academic Press, New York, 1983).