OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 17 — Aug. 18, 2008
  • pp: 12958–12966

Freeform LED lens for uniform illumination

Yi Ding, Xu Liu, Zhen-rong Zheng, and Pei-fu Gu  »View Author Affiliations

Optics Express, Vol. 16, Issue 17, pp. 12958-12966 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (368 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Light flux from LED must be redistributed to meet the needs of lighting in most cases, a new method is proposed for its secondary optic design. Based on refractive equation and energy conservation, a set of first-order partial differential equations which represent the characters of LED source and desired illumination were presented. The freeform lens was constructed by solving these equations numerically. The numerical results showed that we can get a freeform lens for the illumination of uniformity near to 90%, with considerable high computation speed. This method can shorten the designing time of the freeform lens with high accepted tolerance.

© 2008 Optical Society of America

OCIS Codes
(220.2945) Optical design and fabrication : Illumination design
(080.4225) Geometric optics : Nonspherical lens design
(080.4298) Geometric optics : Nonimaging optics

ToC Category:
Geometric optics

Original Manuscript: May 20, 2008
Revised Manuscript: July 6, 2008
Manuscript Accepted: July 21, 2008
Published: August 11, 2008

Yi Ding, Xu Liu, Zhen-rong Zheng, and Pei-fu Gu, "Freeform LED lens for uniform illumination," Opt. Express 16, 12958-12966 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Zhou, W. Lu, Y. X. Lin, Z. R. Zheng, H. F. Li, and P. F. Gu, "Fly eye lens array used in liquid crystal projection display with high light efficiency," Acta Optica Sinica 24, 587-591 (2004).
  2. M. Shen, H. F. Li, W. Lu, and X. Liu, "Method of reflective fly eye lens design for LED illuminating projection system," Acta Photonica Sinica 35,93-95 (2006).
  3. J. Bortz, N. Shatz, and D. Pitou, "Optimal design of a nonimaging projection lens for use with an LED source and a rectangular target," Proc. SPIE 4092, 130-138 (2000). [CrossRef]
  4. B. A. Jacobson and R. D. Gengelbach, "Lens for uniform LED illumination: an example of automated optimization using Monte Carlo ray-tracing of an LED source," Proc. SPIE 4446, 130-138 (2002).
  5. B. Parkyn and D. Pelka, "Free-form illumination lens designed by a pseudo-rectangular lawnmower algorithm," Proc. SPIE 6338, 633808 (2005). [CrossRef]
  6. H. Ries and J. Muschaweck, "Tailoring freeform lenses for illumination," Proc. SPIE 6338, 633808 (2001).
  7. H. Ries and J. Muschaweck, "Tailored freeform optical surfaces," J. Opt. Soc. Am. A 19, 590-595 (2002). [CrossRef]
  8. Y. Ding and P. F. Gu, "The Freeform Reflector for Uniform Illumination," Acta Optica Sinica 27, 540-544 (2007).
  9. Y. Ding, X. Liu, H. F. Li, and P. F. Gu, "The design of the freeform reflector for uniform illumination," in Proceedings of Asia Display 2007, Volume 1. (Shanghai, China, 2007), pp. 735-738.
  10. J. Schruben, "Formulation of a reflector design problem for a lighting fixture," J. Opt. Soc. Am 62, 1498-1501 (1972). [CrossRef]
  11. W. H. Chen, Introduction of Differential Geometry (Beijing University, 1990), Chap. 4.
  12. Y. C. Su and Q. G. Wu, Numerical Solutions of Partial Differential Equations (Weather, 1989), Chap. 1.
  13. Lumileds LED technical data sheet, "Luxeon star technical data sheet" (Lumileds, 2006). http://www.lumileds.com/pdfs/DS23.pdf.
  14. W. A. Parkyn, "Segmented illumination lenses for steplighting and wall-washing," Proc. SPIE 3779, 363-370 (1999). [CrossRef]
  15. H. Chase, "Optical Design with Rotationally Symmetric NURBS," Proc. SPIE 4832, 10-24 (2002). [CrossRef]
  16. T. L. R. Davenport, "3D NURBS representation of surface for illumination," Proc. SPIE 4832, 293-301 (2002). [CrossRef]
  17. T. L. R. Davenport, " Generation of NC Tool Path for Subdivision Surface," in Proceedings of CAD/Graphics 2001, Q. Peng, ed. (International Academic, Kunming, China, 2001), pp. 1-7.
  18. Precitech product features, "Freeform 700G" (Precitech, 2006). http://www.precitech.com/Precitech_ff700G_features.html.
  19. Y. Z. Wang and L. J. Chen, "A real-time NURBS surface interpolator for 5-axis surface machining," Chinese Journal of Aeronautics 18, 263-272 (2005). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited