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http://dx.doi.org/10.3807/JOSK.2016.20.5.614

Design Method for a Total Internal Reflection LED Lens with Double Freeform Surfaces for Narrow and Uniform Illumination  

Yang, Jae Suk (School of Information & Communication Engineering, Inha University)
Park, Jae-Hyeung (School of Information & Communication Engineering, Inha University)
O, Beom-Hoan (School of Information & Communication Engineering, Inha University)
Park, Se-Geun (School of Information & Communication Engineering, Inha University)
Lee, Seung Gol (School of Information & Communication Engineering, Inha University)
Publication Information
Journal of the Optical Society of Korea / v.20, no.5, 2016 , pp. 614-622 More about this Journal
Abstract
In this paper, we propose a novel differential equation method for designing a total internal reflection (TIR) LED lens with double freeform surfaces. A complete set of simultaneous differential equations for the method is derived from the condition for minimizing the Fresnel loss, illumination models, Snell’s Law of ray propagation, and a new constraint on the incident angle of a ray on the light-exiting surface of the lens. The last constraint is essential to complete the set of simultaneous differential equations. By adopting the TIR structure and applying the condition for minimizing the Fresnel loss, it is expected that the proposed TIR LED lens can have a high luminous flux efficiency, even though its beam-spread angle is narrow. To validate the proposed method, three TIR LED lenses with beam-spread angles of less than 22.6° have been designed, and their performances evaluated by ray tracing. Their luminous flux efficiencies could be obviously increased by at least 35% and 5%, compared to conventional LED lenses with a single freeform surface and with double freeform surfaces, respectively.
Keywords
Double freeform surfaces; TIR LED lens; Luminous flux efficiency; Fresnel loss; Narrow beam-spread angle;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 B. J. Kim, D. C. Kim, B. H. O, S. G. Park, B. H. Kim, and S. G. Lee, “Optimal Design of Secondary Optics for Narrowing the Beam Angle of an LED Lamp with a Large-Area COB-type LED Package,” Korean J. Opt. Photon. 25, 78-84 (2014).   DOI
2 J. h. Wang, Y. C. Liang, and M. Xu, “Design of a See-Through Head-Mounted Display with a Freeform Surface,” J. Opt. Soc. Korea 19, 614-618 (2015).   DOI
3 Q. F. Zhang, J. Gao, and X. Chen, “Influence of optical aspheric parameters on obtaining uniform rectangular illumination,” Optik 125, 2577-258 (2014).
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).   DOI
5 Y. Luo, Z. X. Feng, Y. J. Han, and H. T. Li, “Design of compact and smooth free-form optical system with uniform illuminance for LED source,” Opt. Express 18, 9055-9063 (2010).   DOI
6 B. C. Kim, D. W. Kim, and G. H. Kim, “Free-Form Surface Reconstruction Method from Second-Derivative Data,” Korean J. Opt. Photon. 25, 273-278 (2014).   DOI
7 G. Z. Wang, L. L. Wang, L. Li, D. D. Wang, and Y. J. Zhang, “Secondary optical lens designed in the method of source-target mapping,” App. Opt. 50, 4031-4036 (2011).   DOI
8 X. J. Hu and K. Y. Qian, “Optimal design of optical system for LED road lighting with high illuminance and luminance uniformity,” App. Opt. 52, 5888-5893 (2013).   DOI
9 P. Liu, R. M. Wu, Z. R. Zheng, H. F. Li, and X. Liu, “Optimized design of LED freeform lens for uniform circular illumination,” J. Zhejiang U. SCI. C (Comput. & Electron.) 13, 929-936 (2012).   DOI
10 E. G. Chen, P. Liu, and F. H. Yu, “Synchronized parameter optimization of the double freeform lenses illumination system used for the CF-LCoS pico-projectors,” Opt. & Las. Technol. 44, 2080-2087 (2012).   DOI
11 E. Vidal, D. Otaduy, F. Gonzalez, J. M. Saiz, F. Moreno, and Y. Wang, “Design and optimization of a collimating optical system for high divergence LED light sources,” Proc. SPIE 7428, 1-10 (2009)
12 M. A. Moiseev, S.V. Kravchenko, L. L. Doskolovich, and N. L. Kazanskiy, “Design of LED optics with two aspherical surfaces and the highest efficiency,” Proc. SPIE 8550, 1-6 (2012).
13 D. Grabovickic, P. Benitez, and J. C. Minano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express 18, 2515-2521 (2010).   DOI
14 W. Lin, P. Benitez, J. C. Minano, J. M. Infante, and G. Biot, “SMS-based optimization strategy for ultracompact SWIR telephoto lens design,” Opt. Express 20, 9726-9735 (2012).   DOI
15 J. C. Minano, P. B. Tez, and A. Santamaria, “Free-Form Optics for Illumination,” Opt. Rev. 16, 99-102 (2009).   DOI
16 R. Hu, Z. Q. Gan, X. B. Luo, H. Zheng, and S. Liu, “Design of double freeform-surface lens for LED uniform illumination with minimum Fresnel losses,” Optik 124, 3895- 3897 (2013).   DOI
17 H. Wu, X. M. Zhang, and P. Ge, “Double freeform surfaces lens design for LED uniform illumination with high distance-height ratio,” Opt. & Las. Technol. 73, 166-172 (2015).   DOI
18 S. Hu, K. Du, T. Mei, L. Wan, and N. Zhu, “Ultra-compact LED lens with double freeform surfaces for uniform illumination,” Opt. Express 23, 20350-20355 (2015).   DOI
19 Y. Zhang, R. M. Wu, P. Liu, Z. R. Zheng, H. F. Li, and X. Liu, “Double freeform surfaces design for laser beam shaping with Monge–Ampere equation method,” Opt. Commun. 331, 297-305 (2014).   DOI
20 A. Bäuerle, A. Bruneton, R. Wester, J. Stollenwerk, and P. Loosen, “Algorithm for irradiance tailoring using multiple freeform optical surfaces,” Opt. Express 20, 14477-14485 (2012).   DOI
21 H. Xiang, Z. Z. Rong, L. Xu, and G. P. Fu, “Freeform surface lens design for uniform illumination,” Pure Appl. Opt. 10, 1-6 (2008).
22 J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik 121, 1761-1765 (2010).   DOI
23 N. Shatz, J. Bortz, J. Matthews, and P. Kim, “Advanced optics for LED flashlights,” Proc. SPIE 7059, 1-12 (2008).
24 B. W. Kim, J. G. Kim, W. S. Ohm, and S. I. Kang, “Eliminating hotspots in a multi-chip LED array direct backlight system with optimal patterned reflectors for uniform illuminance and minimal system thickness,” Opt. Express 18, 8595-8604 (2010).   DOI
25 V. I. Oliker, “Mathematical aspects of design of beam shaping surfaces in geometrical optics,” in Trends in Nonlinear Analysis, M. Kirkilionis, S. Krömker, R. Rannacher, F. Tomi, eds. (Springer, 2003).
26 H. B. Cheng, C. Y. Xu, X. L. Jing, and H. Y. Tam, “Design of compact LED free-form optical system for aeronautical illumination,” App. Opt. 54, 7632-7639 (2015).   DOI
27 J. Chistiansen, “Numerical Solution of Ordinary Simultaneous Differential Equations of the 1st Order Using a Method for Automatic Step Change,” Numer. Math. 14, 317-324 (1970).   DOI
28 X. X. Luo, H. Liu, Z. W. Lu, and Y. Wang, “Automated optimization of an aspheric light-emitting diode lens for uniform illumination,” App. Opt. 50, 3412-3418 (2011).   DOI
29 M. A. Moiseeva, L. L. Doskolovicha, K. V. Borisovab, and E. V. Byzovb, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60, 1100-1106 (2013)   DOI
30 M. A. Moiseev, E. V. Byzov, S. V. Kravchenko, and L. L. Doskolovich, “Design of LED refractive optics with predetermined balance of ray deflection angles between inner and outer surfaces,” Opt. Exp. 23, A1140-A1148 (2015).   DOI
31 H. C. Chen, J. Y. Lin, and H. Y. Chiu, “Rectangular illumination using a secondary optics with cylindrical lens for LED street light,” Opt. Express 21, 3201-3212 (2013).   DOI