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. Express 20, 13727–13737 (2012).

[CrossRef]

J.-J. Chen, T.-Y. Wang, K.-L. Huang, T.-S. Liu, M.-D. Tsai, and C.-T. Lin, “Freeform lens design for LED collimating illumination,” Opt. Express 20, 10984–10995 (2012).

[CrossRef]

M. A. Moiseev and L. L. Doskolovich, “Design of TIR optics generating the prescribed irradiance distribution in the circle region,” J. Opt. Soc. Am. A 29, 1758–1763 (2012).

[CrossRef]

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]

D. Michaelis, P. Schreiber, and A. Bäuer, “Cartesian oval representation of freeform optics in illumination systems,” Opt. Lett. 36, 918–920 (2011).

[CrossRef]

F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freefrom reflector generation using source-target maps,” Opt. Express 18, 5204–5295 (2010).

[CrossRef]

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]

Z. Feng, Y. Luo, and Y. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]

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, 9055–9063 (2010).

[CrossRef]

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]

L. L. Doskolovich, N. L. Kazanskiy, and S. Bernard, “Designing a mirror to form a line-shaped directivity diagram,” J. Mod. Opt. 54, 589–597 (2007).

[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

R. Winston, J. C. Minano, and P. Benitez, Nonimaging Optics (Elsevier Academic, 2005).

L. L. Doskolovich, N. L. Kazanskiy, and S. Bernard, “Designing a mirror to form a line-shaped directivity diagram,” J. Mod. Opt. 54, 589–597 (2007).

[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freefrom reflector generation using source-target maps,” Opt. Express 18, 5204–5295 (2010).

[CrossRef]

M. A. Moiseev and L. L. Doskolovich, “Design of TIR optics generating the prescribed irradiance distribution in the circle region,” J. Opt. Soc. Am. A 29, 1758–1763 (2012).

[CrossRef]

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]

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]

L. L. Doskolovich, N. L. Kazanskiy, and S. Bernard, “Designing a mirror to form a line-shaped directivity diagram,” J. Mod. Opt. 54, 589–597 (2007).

[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

L. P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces (Schwarz, 2008).

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, 9055–9063 (2010).

[CrossRef]

Z. Feng, Y. Luo, and Y. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]

F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freefrom reflector generation using source-target maps,” Opt. Express 18, 5204–5295 (2010).

[CrossRef]

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, 9055–9063 (2010).

[CrossRef]

Z. Feng, Y. Luo, and Y. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]

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]

L. L. Doskolovich, N. L. Kazanskiy, and S. Bernard, “Designing a mirror to form a line-shaped directivity diagram,” J. Mod. Opt. 54, 589–597 (2007).

[CrossRef]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

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, 9055–9063 (2010).

[CrossRef]

Z. Feng, Y. Luo, and Y. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]

R. Winston, J. C. Minano, and P. Benitez, Nonimaging Optics (Elsevier Academic, 2005).

M. A. Moiseev and L. L. Doskolovich, “Design of TIR optics generating the prescribed irradiance distribution in the circle region,” J. Opt. Soc. Am. A 29, 1758–1763 (2012).

[CrossRef]

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]

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]

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, and F. Tomi, eds. (Springer, 2003), pp. 197–224.

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freefrom reflector generation using source-target maps,” Opt. Express 18, 5204–5295 (2010).

[CrossRef]

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]

R. Winston, J. C. Minano, and P. Benitez, Nonimaging Optics (Elsevier Academic, 2005).

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]

L. L. Doskolovich, N. L. Kazanskiy, S. I. Kharitonov, P. Perlo, and S. Bernard, “Designing reflectors to generate a line-shaped directivity diagram,” J. Mod. Opt. 52, 1529–1536 (2005).

[CrossRef]

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]

L. L. Doskolovich, N. L. Kazanskiy, and S. Bernard, “Designing a mirror to form a line-shaped directivity diagram,” J. Mod. Opt. 54, 589–597 (2007).

[CrossRef]

Y. Ding, X. Liu, Z. Zheng, and P. Gu, “Freeform LED lens for uniform illumination,” Opt. Express 16, 12958–12966 (2008).

[CrossRef]

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]

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]

Z. Feng, Y. Luo, and Y. Han, “Design of LED freeform optical system for road lighting with high luminance/illuminance ratio,” Opt. Express 18, 22020–22031 (2010).

[CrossRef]

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, 9055–9063 (2010).

[CrossRef]

F. R. Fournier, W. J. Cassarly, and J. P. Rolland, “Fast freefrom reflector generation using source-target maps,” Opt. Express 18, 5204–5295 (2010).

[CrossRef]

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. Express 20, 13727–13737 (2012).

[CrossRef]

J.-J. Chen, T.-Y. Wang, K.-L. Huang, T.-S. Liu, M.-D. Tsai, and C.-T. Lin, “Freeform lens design for LED collimating illumination,” Opt. Express 20, 10984–10995 (2012).

[CrossRef]

R. Winston, J. C. Minano, and P. Benitez, Nonimaging Optics (Elsevier Academic, 2005).

L. P. Eisenhart, A Treatise on the Differential Geometry of Curves and Surfaces (Schwarz, 2008).

Lambda Research Corporation, “TracePro Suite of Optical and Illumination Design Software,” http://www.lambdares.com/software_products/tracepro/ .

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, and F. Tomi, eds. (Springer, 2003), pp. 197–224.