Design of a Tele-centric Wide Field Lens with High Relative Illumination and Low Distortion Using Third-order Aberration Analysis

Kim, Kae-Hong;Kim, Yeong-Sik;Park, Sung-Chan

  • Received : 2015.10.02
  • Accepted : 2015.11.27
  • Published : 2015.12.25


This paper presents a design method for improving the low relative illumination and large distortion due to widening the field of a system. A tele-centric optical system in image space was suggested to increase the relative illumination. Through the analyses of the third-order aberrations affected by introducing aspherical surfaces, we have proposed a method to determine analytically what surface should be aspheric to correct each aberration effectively. By utilizing this method to design a wide field lens, a tele-centric wide field lens with f-number of F/2.0 was obtained. Even though the field angle is 120 degrees, it has a very low distortion less than -2% and high relative illumination more than 73.7%. In conclusion, this analytic method for selecting aspherical surfaces is expected to serve as a useful way to find design solutions.


Wide field;Distortion;Third order aberrations;Telecentric system


  1. K. Ono, "Wide-angle lens, and imaging device," W. O. Patent 2014087602 (2014).
  2. M. W. Kang, "Fixed focus lens system," U. S. Patent 8917460 (2014).
  3. C. S. Rim, “The study of fisheye lens for the causes of rapid illumination drop and the ways to correct on an image sensor due to an ultra wide angle of view,” Korean J. Opt. Photon. (Hankook Kwanghak Hoeji) 23, 179-188 (2012).
  4. G. I. Kweon, S. U. Hwang-bo, G. H. Kim, S. C. Yang, and Y. H. Lee, “Wide-angle cata-dioptric lens with a rectilinear projection scheme,” Proc. SPIE 5962, 624125 (2005).
  5. B. Hönlinger and H. H. Nasse, “Distortion,” (Carl Zeiss AG, Germany, October, 2009).
  6. W. T. Welford, Aberrations of the Optics Systems (Adam Hilger Ltd., Bristol, 1986), pp. 130-158.
  7. W. J. Smith, Modern Optical Engineering, 3rd ed. (McGraw-Hill Inc., New York, USA, 2001), Chapter 2, 3, 10.
  8. R. E. Hopkins and R. Hanau, Military Standardization on Hand Book: Optical Design (MIL-HDBK-141, Washington D.C., USA, 1962), Section 8-10.
  9. M. Watanabe and S. K. Nayar, “Telecentric optics for focus analysis,” IEEE Transactions on Pattern Analysis and Machine Intelligence 19, 1360-1365 (1997).
  10. M. Watanabe and S. K. Nayar, “Telecentric optics for computational vision,” in Lecture Notes in Computer Science, ECCV ‘96, B. Buxton and R. Cipolla eds. (Cambridge, UK, 1996), vol. 1065, pp. 439-451.
  11. J. W. Kim, J. M. Rye, and Y. J. Kim, “Tolerance analysis and compensation method using Zernike polynomial coefficients of omni-directional and fisheye varifocal lens,” J. Opt. Soc. Korea 18, 720-731 (2014).
  12. M. P. Rimmer, “Relative illumination calculations,” Proc. SPIE 0655, 99-104 (1986).
  13. I. Abe, H. Yoshida, and N. Moniwa, "Wide-angle lens and imaging apparatus using the same," U. S. Patent 0169912 (2011).

Cited by

  1. Optical System Design for a Head-up Display Using Aberration Analysis of an Off-axis Two-mirror System vol.20, pp.4, 2016,
  2. Large field distributed aperture laser semiactive angle measurement system design with imaging fiber bundles vol.55, pp.25, 2016,