本文為五百萬畫素廣角監視器鏡頭設計,其鏡頭組成為7片玻璃鏡片與二片平板玻璃所組成,其中含有二片非球面鏡片。另初階設計為有效焦距 1.649 mm、F/# 2.1、最大半視角80度。
廣角監視器鏡頭成像品質,MTF在180 lp/mm至少大於0.618,橫向色差小於0.623 um,F-theta distortion 小於0.85%,相對照度大於93%。
本研究主要探討與分析相對照度,在半視角80之鏡頭設計,由於視角越大相對照度會越嚴重,所以,在本文中會詳述相對照度形成的原因並推導其公式,相對照度與鏡面之介面穿透率、鏡片內部穿透率與鏡頭成像立體角有關。
This article is designed for a five-million-pixel wide-angle monitor lens. The lens consists of seven glass lenses and two flat glass plates, which contain two aspherical lenses. The other initial design is effective focal length 1.649 mm, F/# 2.1, maximum half angle of view 80 Wide-angle monitor lens imaging quality, MTF is at least greater than 0.618 at 180 lp/mm, lateral chromatic aberration is less than 0.623 um, F-theta distortion is less than 0.85%, and contrast is greater than 93%.
This study mainly discusses the contrast with the analysis. In the lens design with half angle of view, the larger the angle of view, the more serious the contrast will be. Therefore, in this paper, the reason for the formation of the contrast is deduced and the formula is derived. The interface penetration rate and the internal transmittance of the lens are related to the solid angle of the lens image.
[1] A. Ning, S. Marcos,, “Ultra-wide angle objective lens,” U.S. patent 7,929,221 B2 (Apr. 19, 2011).
[2] A. Ning, S. Marcos,, “Compact fisheye objective lens,” U.S. patent 7,869,141 B2 (Jan. 11, 2011).
[3] A. V. Arecchi, T. Messadi, R. J. Koshel , "Field Guide to Illumination," SPIE Press, Bellingham, WA (2007).
[4] R. W. Wood, “Refraction of Light,” in Handbook of PhysicalOptics (Optical Society of America, Washington, DC, 1911).
[5] R. Hill, “A Lens for Whole Sky Photography,” in Proceedings of the Optical Convention , (London, 1926) , pp.878-883.
[6] 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.
[7] W. Feng, B. Zhang, J. Röning, Z. Cao, X. Zong, “An Embedded Omnidirectional Vision Navigator for Automatic Guided Vehicles,” Proc. SPIE 7878 (2011).
[8] Z. Huang, J. Bai and X. Hou, “A multi-spectrum fish-eye lens for rice canopy detecting,” Proc. SPIE 7849, 78491Z (2010).
[9] M. P. Rimmer. "Relative illumination calculations," Proc 2. SPIE 655. 99- 104 (1986).
[10] M. Reiss, "Notes on the Cos4 Law of Illumination." Journal of Optical Socicty of America. Vol. 38, N. 11, pp. 980-986 (1948)
[11] I. C. Gardner, "Validity of the Cosinc-Fourth-Power Law of Illumination," Journal of esearch of the National Bureau of Standards, Vol. 39. pp. 213-219 (1947)
[12] Dmitry Reshidko. Jose Sasian. "The role of aberations in the relative illumination of a lens system," Proc. SPIE 9948 (2016).
[13] Ronian Siew, "Rclative illumination and image distortion," Opt. Eng. 56(4), 049701 (2017).
[14] Andrew W. ISHAK," High performance selective light wavelength filtering providing improved contrast sensitivity" , U. S. Patent US8360674 (2013).
[15] W. S. Sun, C. L. Tien , "Ultra-wide angle lens design with relative illumination analysis," J. Eur. Opt. Soc.-Rapid 11, 16001 (2016).
[16] 高鳳遙,「超大廣角鏡頭在溫度-20℃至60℃對熱的分析與校正之鏡頭設計」,國立中央大學光電所,碩士論文,民國一零五年
[17] 徐英舜,「汽車超大廣角於溫度-30℃至70℃消熱差與高相對照度之鏡頭設計」,國立中央大學光電所,碩士論文,民國一零六年
[18] I. Abe. H. Yoshida, and N. Moniwa, "Wide-angle lens and imaging apparatus using the same." U. S. Patent 0169912 (2011).
[19] K.H Kim. Y.S Kim and S.C Park. "Design of a Tele-centric Wide Field Lens with High Relative Illumination and Low Distortion Using Third-order Aberration Analysis" , Journal of the Optical Socicty of Korea Vol. 19. No. 6, December 2015, pp. 679-686 (2015)
[20] Schott, “TIE-29: Refractive index and dispersion,” in Proc. Schott Technical information (Schott Inc., Germany, 2016).
[21] 李正中,薄膜光學與鍍膜技術,藝軒圖書出版社,第六版。
[22] D. K. Cheng, Field And Electromagnetics (second edition, A Ddison-Wesley, London, 1989).
[23] G. R. Fowles, Introduction to Modern Optics, (2nded., holt Rineheartand Winston Inc., 1975).
[24] Schott, “TIE-35: Transmittance of optical glass,” in Proc. Schott Technical information (Schott Inc., Germany, 2005).
[25] Schott, “Optical Glass,” in Proc. Schott Technical information (Schott Inc., Germany, 2018).
[26] Virendra N. Mahajan, Optical Imaging and Aberrations, Part I – Ray Geometrical Optics, P104~106, SPIE PRESS , Bellingham, 1998
[27] 許修真,「以LED為光源的反射式液晶投影照明系統之設計與分析」,元智大學電機工程研究所,碩士論文,民國93年7月。
[28] Synopsys, Code V Electronic Document Library, Version 11.0, Lens System Setup for Reference Manuals, Chap.1(2012)D
Synopsys, Lens System Setup Reference Manual, Version 11.0, Lens System Setup for Reference Manuals, Chap.1, Entering System Data: Specifying Vignetting. (2012).