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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 1 — Jan. 14, 2013
  • pp: 1258–1269

A fast feedback method to design easy-molding freeform optical system with uniform illuminance and high light control efficiency

Li Hongtao, Chen Shichao, Han Yanjun, and Luo Yi  »View Author Affiliations

Optics Express, Vol. 21, Issue 1, pp. 1258-1269 (2013)

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A feedback method combined with fitting technique based on variable separation mapping is proposed to design freeform optical systems for an extended LED source with prescribed illumination patterns, especially with uniform illuminance distribution. Feedback process performs well with extended sources, while fitting technique contributes not only to the decrease of pieces of sub-surfaces in discontinuous freeform lenses which may cause loss in manufacture, but also the reduction in the number of feedback iterations. It is proved that light control efficiency can be improved by 5%, while keeping a high uniformity of 82%, with only two feedback iterations and one fitting operation can improve. Furthermore, the polar angle θ and azimuthal angle φ is used to specify the light direction from the light source, and the ( θ,φ )-(x,y) based mapping and feedback strategy makes sure that even few discontinuous sections along the equi- φ plane exist in the system, they are perpendicular to the base plane, making it eligible for manufacturing the surfaces using injection molding.

© 2013 OSA

OCIS Codes
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(230.3670) Optical devices : Light-emitting diodes
(220.2945) Optical design and fabrication : Illumination design
(080.4225) Geometric optics : Nonspherical lens design
(080.4298) Geometric optics : Nonimaging optics

ToC Category:
Optical Design and Fabrication

Original Manuscript: October 24, 2012
Revised Manuscript: December 6, 2012
Manuscript Accepted: January 2, 2013
Published: January 11, 2013

Li Hongtao, Chen Shichao, Han Yanjun, and Luo Yi, "A fast feedback method to design easy-molding freeform optical system with uniform illuminance and high light control efficiency," Opt. Express 21, 1258-1269 (2013)

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  1. A. Zukauskas, M. S. Shur, and R. Caska, Introduction to Solid-state Lighting.(John Wiley & Sons, 2002).
  2. E. F. Schubert and J. K. Kim, “Solid-state light sources getting smart,” Science308(5726), 1274–1278 (2005). [CrossRef] [PubMed]
  3. L. Caffarelli and V. Oliker, “Weak solutions of one inverse problem in geometric optics,” J. Math. Sci. 154(1), 37–46 (2008, Preprint, 1994).
  4. V. Oliker, “Geometric and variational methods in optical design of reflecting surfaces with prescribed irradiance properties,” Proc. SPIE5924, 594207, 594207-12 (2005). [CrossRef]
  5. H. Ries and J. A. Muschaweck, “Tailored freeform optical surfaces,” J. Opt. Soc. Am. A19(3), 590–595 (2002). [CrossRef] [PubMed]
  6. W. A. Parkyn, “Design of illumination lenses via extrinsic differential geometry,” Proc. SPIE3428, 154–162 (1998).
  7. P. Benitez, J. C. Miñano, 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]
  8. L. Wang, K. Y. Qian, and Y. Luo, “Discontinuous free-form lens design for prescribed irradiance,” Appl. Opt.46(18), 3716–3723 (2007). [CrossRef] [PubMed]
  9. 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. Express18(9), 9055–9063 (2010). [CrossRef] [PubMed]
  10. W. Situ, Y. Han, H. Li, and Y. Luo, “Combined feedback method for designing a free-form optical system with complicated illumination patterns for an extended LED source,” Opt. Express19(S5Suppl 5), A1022–A1030 (2011). [CrossRef] [PubMed]
  11. K. Wang, S. Liu, F. Chen, Z. Y. Liu, and X. Luo, “Effect of manufacturing defects on optical performance of discontinuous freeform lenses,” Opt. Express17(7), 5457–5465 (2009). [CrossRef] [PubMed]
  12. K. Wang, S. Liu, F. Chen, Z. Qin, Z. Y. Liu, and X. B. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt.11(10), 105501 (2009). [CrossRef]
  13. Y. Ding, X. Liu, Z. R. Zheng, and P. F. Gu, “Freeform LED lens for uniform illumination,” Opt. Express16(17), 12958–12966 (2008). [CrossRef] [PubMed]
  14. Z. Zhenrong, H. Xiang, and L. Xu, “Freeform surface lens for LED uniform illumination,” Appl. Opt.48(35), 6627–6634 (2009). [CrossRef] [PubMed]
  15. Florian Fournier, “Freeform reflector design with extended sources”, A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in CREOL, the College of Optics and Photonics at the University of Central Florida Orlando, Florida, 2010.
  16. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freeform reflector generation usingsource-target maps,” Opt. Express18(5), 5295–5304 (2010). [CrossRef] [PubMed]
  17. R. Hu, X. Luo, H. Zheng, Z. Qin, Z. Gan, B. Wu, and S. Liu, “Design of a novel freeform lens for LED uniform illumination and conformal phosphor coating,” Opt. Express20(13), 13727–13737 (2012). [CrossRef] [PubMed]
  18. W. J. Cassarly, “Iterative reflector design using a cumulative flux compensation approach,” Proc. SPIE7652, 76522L, 76522L-9 (2010). [CrossRef]
  19. J. D’Errico, “Surface Fitting using gridfit,” (MATLAB CENTRAL File Exchange, 11 Nov 2005, Updated 29 Jul 2010). http://www.mathworks.com/matlabcentral/fileexchange/8998-surface-fitting-using-gridfit .

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