OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 30 — Oct. 20, 2012
  • pp: 7200–7205

Thin LED collimator with free-form lens array for illumination applications

Emil Aslanov, Leonid L. Doskolovich, and Mikhail A. Moiseev  »View Author Affiliations

Applied Optics, Vol. 51, Issue 30, pp. 7200-7205 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (561 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a compact optical system made up of a thin collimator and a free-form lens array to provide the uniform illumination of various-shape regions. Analytical formulas to design the lens array are derived. The simulation results for the designed optical elements demonstrate the high-level illumination uniformity of various regions in the form of a rectangle, a cross, a flag-shaped region, a line segment, and a set of line segments.

© 2012 Optical Society of America

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.2945) Optical design and fabrication : Illumination design

Original Manuscript: July 12, 2012
Manuscript Accepted: August 27, 2012
Published: October 12, 2012

Emil Aslanov, Leonid L. Doskolovich, and Mikhail A. Moiseev, "Thin LED collimator with free-form lens array for illumination applications," Appl. Opt. 51, 7200-7205 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Guan and X.-J. Wang, “On a Monge-Ampère equation arising in geometric optics,” J. Diff. Geom. 48, 205–223 (1998).
  2. V. I. Oliker and P. Waltman, “Radially symmetric solutions of Monge-Ampère equation arising in the reflector mapping problem,” in Differential Equations and Mathematical Physics, I. Knowles, ed., Vol. 1285 of Lecture Notes in Math (Springer, 1987), pp. 361–374.
  3. H. Ries and J. Muschaweck, “Tailoring freeform optical surfaces,” J. Opt. Soc. Am. A 19, 590–595 (2002). [CrossRef]
  4. F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freeform reflector generation using source-target maps,” Opt. Express 18, 5295–5304 (2010). [CrossRef]
  5. D. Michaelis, P. Schreiber, and A. Bäuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011). [CrossRef]
  6. L. L. Doskolovich and M. A. Moiseev, “Design of refractive spline surface for generating required irradiance distribution with large angular dimension,” J. Mod. Opt. 57, 536–544(2010). [CrossRef]
  7. L. L. Doskolovich, N. L. Kazanskiy, and M. A. Moiseev, “Design of high-efficient freeform LED lens for illumination of elongated rectangular regions,” Opt. Express 19, A225–A233 (2011). [CrossRef]
  8. K. Wang, F. Chen, and Z. Liu, “Design of compact freeform lens for application specific light-emitting diode packaging,” Opt. Express 18, 413–425 (2010). [CrossRef]
  9. R. Wu, H. Li, Z. Zheng, and X. Liu, “Freeform lens arrays for off-axis illumination in an optical lithography system,” Appl. Opt. 50, 725–732 (2011). [CrossRef]
  10. D. Grabovičkić, P. Benítez, and J. C. Miñano, “TIR RXI collimator,” Opt. Express 20, A51–A61 (2012). [CrossRef]
  11. F. Muñoz, P. Benítez, O. Dross, J. C. Miñano, and B. Parkyn, “Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes,” Opt. Eng. 43, 1522–1530 (2004). [CrossRef]
  12. J.-J. Chen and C.-T. Lin, “Freeform surface design for a light-emitting diode-based collimating lens,” Opt. Eng. 49, 093001 (2010). [CrossRef]
  13. E. Aslanov, N. Petrov, A. Borodulin, and G. Tananaev, “Ultra-slim collimator with an inverse design,” Proc. SPIE 8170, 81700U (2011). [CrossRef]
  14. E. Aslanov and L. Doskolovich, “Slim collimator for light emitting diodes,” J. Comput. Opt. 36, 96–101 (2012).
  15. L. Sun, S. Jin, and S. Cen, “Free-form microlens for illumination applications,” Appl. Opt. 48, 5520–5527 (2009). [CrossRef]
  16. http://www.zemax.com .
  17. B. Grunbaum and G. C. Shephard, Tilings and Patterns(W. H. Freeman and Co., 1987).
  18. L. L. Doskolovich, N. L. Kazanskiy, V. A. Soifer, S. I. Kharitonov, and P. Perlo, “A DOE to form a line-shaped directivity diagram,” J. Mod. Opt. 51, 1999–2005 (2004). [CrossRef]
  19. R. Courant and F. John, Introduction to Calculus and Analysis (Springer-Verlag, 1989), Vol. 2.

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