OSA's Digital Library

Energy Express

Energy Express

  • Editor: Christian Seassal
  • Vol. 22, Iss. S2 — Mar. 10, 2014
  • pp: A233–A247

A two-step design method for high compact rotationally symmetric optical system for LED surface light source

Xianglong Mao, Hongtao Li, Yanjun Han, and Yi Luo  »View Author Affiliations

Optics Express, Vol. 22, Issue S2, pp. A233-A247 (2014)

View Full Text Article

Enhanced HTML    Acrobat PDF (1972 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A two-step optimization method is proposed to design a compact single-surface far-field illumination system, satisfying the requirements of illuminance uniformity and light control efficiency with h/D less than 3:1. In the first step, the conventional tailored edge-ray design (TED) method is employed to generate prescribed illumination distribution for the rotationally symmetric optical system, and an optimization process is added to reach a balance between illuminance uniformity and light control efficiency. Based on the improved TED method, we can construct an initial optical system more accurate than that obtained by point source assumption. In the second step, an iterative feedback modification process is employed to optimize the initial optical system, so that the degradation of performance due to insufficient control of skew rays is mitigated. Because the initial optical system constructed in the first step is accurate enough, the second-step feedback modification can converge to a satisfactory result within several iterations. As an example, a free-form rotationally symmetric lens with the height of h = 25 mm is designed for a discoidal LED source with the diameter of D = 10 mm. Both high illuminance uniformity of 0.75 and high light control efficiency of 0.86 are obtained simultaneously. The method can be further used to achieve more complex non-uniform illumination distributions. The design of an optical system with h/D = 2.5:1 and a circular linear illumination distribution is demonstrated.

© 2014 Optical Society of America

OCIS Codes
(230.3670) Optical devices : Light-emitting diodes
(080.1753) Geometric optics : Computation methods
(220.2945) Optical design and fabrication : Illumination design
(080.4225) Geometric optics : Nonspherical lens design
(080.4298) Geometric optics : Nonimaging optics

ToC Category:
Light-Emitting Diodes

Original Manuscript: November 19, 2013
Revised Manuscript: December 14, 2013
Manuscript Accepted: January 11, 2014
Published: January 22, 2014

Xianglong Mao, Hongtao Li, Yanjun Han, and Yi Luo, "A two-step design method for high compact rotationally symmetric optical system for LED surface light source," Opt. Express 22, A233-A247 (2014)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. R. Krames, O. B. Shchekin, R. Mueller-Mach, G. O. Mueller, L. Zhou, G. Harbers, and M. G. Craford, “Status and future of high-power light-emitting diodes for solid-state lighting,” J. Display Technol. 3(2), 160–175 (2007). [CrossRef]
  2. G. Lozano, D. J. Louwers, S. R. K. Rodríguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. G. Rivas, “Plasmonics for solid-state lighting: enhanced excitation and directional emission of highly efficient light source,” Light. Science & Applications 2(5), e66 (2013). [CrossRef]
  3. R. Winston, J. C. Miñano, P. Benítez, N. Shatz, and J. C. Bortz, Nonimaging Optics (Elsevier, 2005), Chaps. 7-8.
  4. W. A. Parkyn, “The design of illumination lenses via extrinsic differential geometry,” Proc. SPIE 3482, 154 (1998). [CrossRef]
  5. H. Ries and J. Muschaweck, “Tailored freeform optical surfaces,” J. Opt. Soc. Am. A 19(3), 590–595 (2002). [CrossRef] [PubMed]
  6. V. Oliker, “Geometric and variational methods in optical design of reflecting surfaces with prescribed irradiance properties,” Proc. SPIE 5942, 594207 (2005). [CrossRef]
  7. L. Wang, K. Qian, and Y. Luo, “Discontinuous free-form lens design for prescribed irradiance,” Appl. Opt. 46(18), 3716–3723 (2007). [CrossRef] [PubMed]
  8. Y. Ding, X. Liu, Z. R. Zheng, and P. F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16(17), 12958–12966 (2008). [CrossRef] [PubMed]
  9. K. Wang, S. Liu, F. Chen, Z. Qin, Z. Liu, and X. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt. 11(10), 105501 (2009). [CrossRef]
  10. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freeform reflector generation usingsource-target maps,” Opt. Express 18(5), 5295–5304 (2010). [CrossRef] [PubMed]
  11. O. Kückmann, “High power LED arrays: special requirements on packaging technology,” Proc. SPIE 6134, 613404 (2006). [CrossRef]
  12. Cree LED products, “Cree XLamp LEDs” (CREE 2013). http://www.cree.com/led-components-and-modules/products/xlamp
  13. P. Benítez, J. C. Miňano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004). [CrossRef]
  14. O. Dross, R. Mohedano, P. Benítez, J. C. Miñano, J. Chaves, J. Blen, M. Hernández, and F. Muñoz, “Review of SMS design methods and real-world applications,” Proc. SPIE 5529, 35–47 (2004). [CrossRef]
  15. K. Wang, Y. Han, H. Li, and Y. Luo, “Overlapping-based optical freeform surface construction for extended lighting source,” Opt. Express 21(17), 19750–19761 (2013). [CrossRef] [PubMed]
  16. H. R. Ries and R. Winston, “Tailored edge-ray reflectors for illumination,” J. Opt. Soc. Am. A 11(4), 1260–1264 (1994). [CrossRef]
  17. A. Rabl and J. M. Gordon, “Reflector design for illumination with extended sources: the basic solutions,” Appl. Opt. 33(25), 6012–6021 (1994). [CrossRef] [PubMed]
  18. P. T. Ong, J. M. Gordon, and A. Rabl, “Tailored edge-ray designs for illumination with tubular sources,” Appl. Opt. 35(22), 4361–4371 (1996). [CrossRef] [PubMed]
  19. J. M. Gordon and A. Rabl, “Reflectors for uniform far-field irradiance: fundamental limits and example of an axisymmetric solution,” Appl. Opt. 37(1), 44–47 (1998). [CrossRef] [PubMed]
  20. P. Goldstein, “Radially symmetric freeform lens design for extended sources,” Proc. SPIE 8487, 84870C (2012). [CrossRef]
  21. R. J. Koshel, “Simplex optimization method for illumination design,” Opt. Lett. 30(6), 649–651 (2005). [CrossRef] [PubMed]
  22. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Designing freeform reflectors for extended sources,” Proc. SPIE 7423, 742302 (2009). [CrossRef]
  23. W. Zhang, Q. Liu, H. Gao, and F. Yu, “Free-form reflector optimization for general lighting,” Opt. Eng. 49(6), 063003 (2010). [CrossRef]
  24. Y. Luo, Z. Feng, Y. Han, and H. Li, “Design of compact and smooth free-form optical system with uniform illuminance for LED source,” Opt. Express 18(9), 9055–9063 (2010). [CrossRef] [PubMed]
  25. W. J. Cassarly, “Iterative reflector design using a cumulative flux compensation approach,” Proc. SPIE 7652, 76522L (2010). [CrossRef]
  26. CIE (Commission Internationale de L’Eclairage), Lighting of Work Places Part 1: Indoor (CIE publication 008, Vienna, 2001).
  27. J. Chaves, Introduction to Nonimaging Optics (Taylor & Francis, 2008), Chap. 16.

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