Abstract

Most LED illumination applications require generation of complex light patterns for which the secondary optics with two free-form surfaces needs to be used. We present a novel optimization method for computing such type of optical elements. An analytical solution for the generation of the initial surfaces is proposed. To accelerate the optimization process, a specific surface representation is used, that eliminates the need to run a time-expensive raytracing procedure. As an example, an optical element generating uniformly illuminated rectangular area with size of 60° by 40° is computed. Lighting efficacy for the extended Lambertian source 1x1 mm is 88.5% and nonuniformity is less than 8.5%.

© 2014 Optical Society of America

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References

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    [Crossref]
  5. M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]

2014 (1)

2013 (6)

2012 (3)

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, 85502N (2012).
[Crossref]

K. Ch. Lin, “Weighted least-square design of freeform lens for multiple point sources,” Opt. Eng. 51(4), 043002 (2012).
[Crossref]

A. Bäuerle, A. Bruneton, R. Wester, J. Stollenwerk, and P. Loosen, “Algorithm for irradiance tailoring using multiple freeform optical surfaces,” Opt. Express 20(13), 14477–14485 (2012).
[Crossref] [PubMed]

2011 (3)

2010 (1)

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(7), 536–544 (2010).
[Crossref]

2004 (1)

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

1998 (1)

P. Guan and X.-J. Wang, “On a Monge-Ampere equation arising in geometric optics,” J. Diff. Geom. 48(2), 205–223 (1998).

1978 (1)

Bäuerle, A.

Benitez, P.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Benítez, P.

Blen, J.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Borisova, K. V.

M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
[Crossref]

Bräuer, A.

Bruneton, A.

Byzov, E. V.

M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
[Crossref]

Chaves, J.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Chen, H.-C.

Chiu, H.-Y.

Doskolovich, L. L.

M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
[Crossref]

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, 85502N (2012).
[Crossref]

L. L. Doskolovich, M. A. Moiseev, and O. I. Petrova, “LED lighting system based on modules that form uniform irradiance of a hexagonal region,” J. Opt. Technol. 78(2), 105–109 (2011).
[Crossref]

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(S3Suppl 3), A225–A233 (2011).
[Crossref] [PubMed]

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(7), 536–544 (2010).
[Crossref]

Dross, O.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Duerr, F.

Elmer, W. B.

Falicoff, W.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Feng, Z.

Gong, M.

Guan, P.

P. Guan and X.-J. Wang, “On a Monge-Ampere equation arising in geometric optics,” J. Diff. Geom. 48(2), 205–223 (1998).

Hernandez, M.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Huang, L.

Jin, G.

Kazanskiy, N. L.

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, 85502N (2012).
[Crossref]

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(S3Suppl 3), A225–A233 (2011).
[Crossref] [PubMed]

Kravchenko, S. V.

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, 85502N (2012).
[Crossref]

Li, H.

Lin, J.-Y.

Lin, K. Ch.

K. Ch. Lin, “Weighted least-square design of freeform lens for multiple point sources,” Opt. Eng. 51(4), 043002 (2012).
[Crossref]

Liu, P.

Liu, X.

Loosen, P.

Meuret, Y.

Michaelis, D.

Minano, J. C.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Miñano, J. C.

Mohedano, R.

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

Moiseev, M. A.

M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
[Crossref]

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, 85502N (2012).
[Crossref]

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(S3Suppl 3), A225–A233 (2011).
[Crossref] [PubMed]

L. L. Doskolovich, M. A. Moiseev, and O. I. Petrova, “LED lighting system based on modules that form uniform irradiance of a hexagonal region,” J. Opt. Technol. 78(2), 105–109 (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(7), 536–544 (2010).
[Crossref]

Petrova, O. I.

Schreiber, P.

Stollenwerk, J.

Thienpont, H.

Wang, X.-J.

P. Guan and X.-J. Wang, “On a Monge-Ampere equation arising in geometric optics,” J. Diff. Geom. 48(2), 205–223 (1998).

Wester, R.

Wu, R.

Xu, L.

Zhang, Y.

Zheng, Zh.

Appl. Opt. (1)

J. Diff. Geom. (1)

P. Guan and X.-J. Wang, “On a Monge-Ampere equation arising in geometric optics,” J. Diff. Geom. 48(2), 205–223 (1998).

J. Mod. Opt. (2)

M. A. Moiseev, L. L. Doskolovich, K. V. Borisova, and E. V. Byzov, “Fast and robust technique for design of axisymmetric TIR optics in case of an extended light source,” J. Mod. Opt. 60(14), 1100–1106 (2013).
[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(7), 536–544 (2010).
[Crossref]

J. Opt. Technol. (1)

Opt. Eng. (2)

P. Benitez, J. C. Minano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernandez, and W. Falicoff, “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43(7), 1489–1502 (2004).
[Crossref]

K. Ch. Lin, “Weighted least-square design of freeform lens for multiple point sources,” Opt. Eng. 51(4), 043002 (2012).
[Crossref]

Opt. Express (6)

Opt. Lett. (3)

Proc. SPIE (1)

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, 85502N (2012).
[Crossref]

Other (1)

C. De Boor, A Practical Guide to Splines (Springer, 2001).

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Figures (12)

Fig. 1
Fig. 1 Arrangement of light source, optical element and exit plane.
Fig. 2
Fig. 2 (a) and (b) profiles of axisymmetrical surfaces generating uniformly illuminated circular areas with diameters of 1200 mm and 750 mm, respectively; (c) combined profiles; (d) fitted spline surface.
Fig. 3
Fig. 3 Illuminance distribution generated by the optical element in Fig. 2(d) for point light source: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).
Fig. 4
Fig. 4 Optimized optical element.
Fig. 5
Fig. 5 Illuminance distribution generated by the optical element in Fig. 4 for a point light source: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).
Fig. 6
Fig. 6 Illuminance distribution generated by the optical element in Fig. 4 for an extended light source 1x1 mm: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).
Fig. 7
Fig. 7 Optical element with a single working free-form surface.
Fig. 8
Fig. 8 Illuminance distribution generated by the optical element in Fig. 7 for an extended light source 1x1 mm: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).
Fig. 9
Fig. 9 Dependences of the lighting efficacy on the source’s size for the designs with two free-form surfaces (square markers) and single free-form surface (triangular markers).
Fig. 10
Fig. 10 Optical element with two free-form surfaces generating uniformly illuminated hexagon spot.
Fig. 11
Fig. 11 Illuminance distribution generated by the optical element in Fig. 10 for a point light source: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).
Fig. 12
Fig. 12 Illuminance distribution generated by the optical element in Fig. 10 for an extended light source 1x1 mm: (a) grayscale distribution; (b) profiles of illuminance distribution (solid line – v = 0, dashed line – u = 0).

Equations (6)

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M( φ,ψ )=R( φ,ψ )+l( φ,ψ ) a 1 (φ,ψ).
ε( c )= E( u,v;c ) E 0 ( u,v ) = 1 S S ( E 0 ( u,v )E( u,v;c ) ) 2 dudv min c ,
E( u,v;c )= φ,ψ I( φ,ψ )sin( ψ ) δ σ ( u u ˜ ( φ,ψ;c ),v v ˜ ( φ,ψ;c ) )dφdψ,
a 1 =n a 0 +( 1[ n a 0 , n 1 ] 2 n( a 0 , n 1 ) ) n 1 ,
a 2 =n a 1 +( 1[ n a 1 , n 2 ] 2 n( a 1 , n 2 ) ) n 2
u ˜ ( φ,ψ;c )=R( φ,ψ; c R ) a 0x +l( φ,ψ; c l ) a 1x +d( φ,ψ;c ) a 2x , v ˜ ( φ,ψ;c )=R( φ,ψ; c R ) a 0y +l( φ,ψ; c l ) a 1y +d( φ,ψ;c ) a 2y , d( φ,ψ;c )= ( fR( φ,ψ; c R ) a 0z l( φ,ψ; c l ) a 1z ) / a 2z ,

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