Abstract

A secondary optical lens was designed and investigated in three-dimensional (3D) space, which was far more accurate than a two-dimensional space in far-field lighting. The shape of the lens surface was from numerical solutions to a group of equations based on source-target mapping; calculating time was only 1.6s. Neglecting absorption and scattering loss, the main results show that, for circular lighting, light efficiency can reach as high as 95%, and uniformity, which is the ratio of the minimum illuminance to average illuminance, is 92.2%. For rectangular lighting, light efficiency can reach 83.6% and uniformity can reach 66.7%. Performance of lenses under different parameters was studied to provide direct references for production and application.

© 2011 Optical Society of America

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References

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2011 (2)

2010 (3)

D. Grabovičkić, P. Benítez, and J. C. Miñano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express 18, 2515–2521 (2010).
[CrossRef] [PubMed]

M. A. Moiseev and L. L. Doskolovicha, “Design of refractive spline surface for generating required irradiance distribution with large angular dimension,” J. Mod. Opt. 57, 536–544 (2010).
[CrossRef]

J.-J. Chen and C.-T. Lin, “Freeform surface design for a light-emitting diode–based collimating lens,” Opt. Eng. 49, 093001(2010).
[CrossRef]

2009 (2)

J. C. Miñano, P. Benítez, and A. Santamaría, “Free-form optics for illumination,” Opt. Rev. 16, 99–102 (2009).
[CrossRef]

D. Grabovičkić, J. C. Miñano, and P. Benítez, “Free form V-groove reflector design with the SMS method,” Proc. SPIE 7423, 742303 (2009).
[CrossRef]

2008 (1)

A. A. Belousov, L. L. Doskolovich, and S. I. Kharitonov, “Gradient design of refractive surfaces for forming required light distributions,” Optoelectron. Instrum. Data Process. 44, 161–168 (2008).
[CrossRef]

2004 (2)

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]

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

1998 (1)

1996 (2)

1995 (1)

1994 (2)

Belousov, A. A.

A. A. Belousov, L. L. Doskolovich, and S. I. Kharitonov, “Gradient design of refractive surfaces for forming required light distributions,” Optoelectron. Instrum. Data Process. 44, 161–168 (2008).
[CrossRef]

Benítez, P.

D. Grabovičkić, P. Benítez, and J. C. Miñano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express 18, 2515–2521 (2010).
[CrossRef] [PubMed]

J. C. Miñano, P. Benítez, and A. Santamaría, “Free-form optics for illumination,” Opt. Rev. 16, 99–102 (2009).
[CrossRef]

D. Grabovičkić, J. C. Miñano, and P. Benítez, “Free form V-groove reflector design with the SMS method,” Proc. SPIE 7423, 742303 (2009).
[CrossRef]

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

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]

Blen, J.

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Chaves, J.

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Chen, J.-J.

J.-J. Chen and C.-T. Lin, “Freeform surface design for a light-emitting diode–based collimating lens,” Opt. Eng. 49, 093001(2010).
[CrossRef]

Doskolovich, L. L.

Doskolovicha, L. L.

M. A. Moiseev and L. L. Doskolovicha, “Design of refractive spline surface for generating required irradiance distribution with large angular dimension,” J. Mod. Opt. 57, 536–544 (2010).
[CrossRef]

Dross, O.

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]

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Falicoff, W.

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Gordon, J. M.

Grabovickic, D.

D. Grabovičkić, P. Benítez, and J. C. Miñano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express 18, 2515–2521 (2010).
[CrossRef] [PubMed]

D. Grabovičkić, J. C. Miñano, and P. Benítez, “Free form V-groove reflector design with the SMS method,” Proc. SPIE 7423, 742303 (2009).
[CrossRef]

Hernández, M.

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Jenkins, D.

Kazanskiy, N. L.

Kharitonov, S. I.

A. A. Belousov, L. L. Doskolovich, and S. I. Kharitonov, “Gradient design of refractive surfaces for forming required light distributions,” Optoelectron. Instrum. Data Process. 44, 161–168 (2008).
[CrossRef]

Lin, C.-T.

J.-J. Chen and C.-T. Lin, “Freeform surface design for a light-emitting diode–based collimating lens,” Opt. Eng. 49, 093001(2010).
[CrossRef]

Miñano, J. C.

D. Grabovičkić, P. Benítez, and J. C. Miñano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express 18, 2515–2521 (2010).
[CrossRef] [PubMed]

J. C. Miñano, P. Benítez, and A. Santamaría, “Free-form optics for illumination,” Opt. Rev. 16, 99–102 (2009).
[CrossRef]

D. Grabovičkić, J. C. Miñano, and P. Benítez, “Free form V-groove reflector design with the SMS method,” Proc. SPIE 7423, 742303 (2009).
[CrossRef]

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]

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Mohedano, R.

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

Moiseev, M. A.

M. A. Moiseev, L. L. Doskolovich, and N. L. Kazanskiy, “Design of high-efficient freeform LED lens for illumination of elongated rectangular regions,” Opt. Express 19, A225–A233(2011).
[CrossRef] [PubMed]

M. A. Moiseev and L. L. Doskolovicha, “Design of refractive spline surface for generating required irradiance distribution with large angular dimension,” J. Mod. Opt. 57, 536–544 (2010).
[CrossRef]

Moiseeva, M. A.

Muñoz, F.

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]

Ong, P. T.

Parkyn, B.

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]

Rabl, A.

Ries, H. R.

Santamaría, A.

J. C. Miñano, P. Benítez, and A. Santamaría, “Free-form optics for illumination,” Opt. Rev. 16, 99–102 (2009).
[CrossRef]

Winston, R.

Appl. Opt. (5)

J. Mod. Opt. (1)

M. A. Moiseev and L. L. Doskolovicha, “Design of refractive spline surface for generating required irradiance distribution with large angular dimension,” J. Mod. Opt. 57, 536–544 (2010).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Opt. Technol. (1)

Opt. Eng. (3)

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]

P. Benítez, 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, 1489–1502 (2004).
[CrossRef]

J.-J. Chen and C.-T. Lin, “Freeform surface design for a light-emitting diode–based collimating lens,” Opt. Eng. 49, 093001(2010).
[CrossRef]

Opt. Express (2)

Opt. Rev. (1)

J. C. Miñano, P. Benítez, and A. Santamaría, “Free-form optics for illumination,” Opt. Rev. 16, 99–102 (2009).
[CrossRef]

Optoelectron. Instrum. Data Process. (1)

A. A. Belousov, L. L. Doskolovich, and S. I. Kharitonov, “Gradient design of refractive surfaces for forming required light distributions,” Optoelectron. Instrum. Data Process. 44, 161–168 (2008).
[CrossRef]

Proc. SPIE (1)

D. Grabovičkić, J. C. Miñano, and P. Benítez, “Free form V-groove reflector design with the SMS method,” Proc. SPIE 7423, 742303 (2009).
[CrossRef]

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Figures (14)

Fig. 1
Fig. 1

Coordinate system of the lens.

Fig. 2
Fig. 2

Schematic diagram of source-target mapping.

Fig. 3
Fig. 3

Schematic diagram of points on the lens surface.

Fig. 4
Fig. 4

Process of calculating coordinates on the lens surface.

Fig. 5
Fig. 5

Lenses for different light emission angles in (a) top view, (b) isometric view, (c) front view, and (d) right side view.

Fig. 6
Fig. 6

Schematic diagram of the lighting system.

Fig. 7
Fig. 7

Performance of lenses with different output angles.

Fig. 8
Fig. 8

Illuminance distribution of the circular target plane.

Fig. 9
Fig. 9

Intensity batwing distribution of the circular target plane.

Fig. 10
Fig. 10

Performance of the lens under different original conditions.

Fig. 11
Fig. 11

Different surface shapes for different lengths.

Fig. 12
Fig. 12

Performance of lenses with different lengths.

Fig. 13
Fig. 13

Illuminance distribution in a rectangular plane.

Fig. 14
Fig. 14

Intensity distribution in the rectangular plane.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

0 π / 2 d θ 0 π / 2 I 0 cos φ sin φ d φ = E d s .
s = R 2 ω / 2.
n 2 r n 1 r = N [ n 2 2 + n 1 2 2 n 1 n 2 ( r · r ) ] 1 / 2 .
N · D = 0 .
{ D n , m = S n , m + 1 S n , m D n = S n + 1 , 1 S n , 1 n = 1 , 2 N 0 ; m = 1 , 2 M 0 .
{ I 0 θ m θ m + 1 d θ 0 π / 2 cos φ sin φ d φ = ( ω m ω m + 1 d ω ) E R 0 2 / 2 I 0 0 π / 2 d θ φ n φ n + 1 cos φ sin φ d φ = ( R n R n + 1 R d R ) E π / 2 .

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