本文提出汽車超廣角鏡頭設計，半視角為80度入射，會降低在成像面上的相對照度，必須在優化過程對相對照度控制。其次，會引進很大的桶型畸變，容易造成在成像面影像擠壓，而採用F-theta畸變取代光學畸變。最後，本篇設計不採用自動對焦，且維持物距從無窮遠至600 mm之成像品質。使用七片透鏡與兩片平板玻璃，選用兩百一十萬畫素之1/6感光元件，設計半視角八十度，F/#為2.4，焦距為1.1 mm，鏡頭長度為22.37 mm，F-theta distortion 小於2%、相對照度大於83%。

Vehicle lens is also called event data recorder which is a kind of wide angle lens. However, it is smaller than traditional camera lens.
The purpose of this study is to design an ultra-wide angle lens installed around cars and control the relative illumination on the image by adjusting the numerical aperture. We evaluate the distortion based upon F-θ distortion.
We discussed the aberrations of the system. Finally, we meet the goal which includes total track, lateral color, numbers of elements and relative illumination.

[1] R. W. Wood, "Refraction of Light," in Handbook of PhysicalOptics (Optical Society of America, Washington, DC, 1911).
[2] R. Hill, "A Lens for Whole Sky Photography," in Proceedings of the
Optical Convention ,(London, 1926) , pp.878-883.
[3] C. Beck, “Apparatus to photograph the whole sky,” J.Sci. Instrum. , 2, pp. 135-139 (1925).
[4] J. Y. Zheng and S. G. Li, "Employing a fish-eye for scene tunnel
Scanning," in Asian Conference on Computer Vision,( Hyderabad, 2006)
, pp. 509.
[5] J. F. Wei, W. Feng, B. Zhang, J. Röning, Z. Cao, X. Zong, "An Embedded Omnidirectional Vision Navigator for Automatic Guided Vehicles," Proc. SPIE 7878 (2011).
[6] Z. Huang, J. Bai, and X. Hou,"A multi-spectrum fish-eye lens for rice
canopy detecting," Proc. SPIE 7849 (2010).
[7] M. Reiss, "Notes on the Cos4 Law of Illumination," J. Opt. Soc. Am., 38,
980-986 (1948).
[8] W. J.Smith, " Apertures and Image Illumination—f -Number and Cosine-Fourth," in Handbook Modern Optical Engineering .( David E. Fogarty , McGraw-Hill, U.S.A, 2000).
[9] H. R. Fallah and J. Maxwell, "Higher Order Pupil Aberrations in Wide Angle and Panoramic Optical Systems," Proc. SPIE 2774, 342 (1996).
[10] I.Powell,"Lenses for correcting chromatic aberration of the eye," Appl. Opt., 20 (1981).
[11] K. Miyamoto, “Fisheye lens,” J. Opt. Soc. Am., 54 (1964).
[12] J. J. Kumler and M. L. Bauer, "Fisheye lens designs and their relative
Performance," Proc. SPIE 4093, 360 (2000).
[13] R. Kingslake, "Photo Graphic Optics," in Handbook of Optical System
Design (Academic Press, U.S.A, 1983).
[14] M. Laikin,"Wide angle lens systems,"SPIE 0237 (1980).
[15] W. Woltche,"The Influence of Back Focus Determination on wide angle lens,"Proc. SPIE 0399 (1983).
[16] 謝定衡, "廣角鏡頭,"TW patent I318306 (2009).
[17] Chun-Ling Lin, "Wide Angle Lens Module And Vehicle Vision System," US patent 7944626 (2010).
[18] A. Ning, " Ultra-wide angle objective lens," US patent 7023628 (2006).
[19] M. Kawada, "Fisheye lens unit,"US patent 7283312 (2007).
[20] G. Kweon , Y.H. Choi, Milton Laikin, “Fisheye Lens for Image Processing Applications,” Journal of the Optical Society of Korea, 12 (2008).
[21] E. T. Burle, "Optics," in Handbooks of Electro-Optics, (Lancaster, 1974).
[22] M. P. Rimmer “Relative illumination calculations,” SPIE 655 (1986)