Abstract

The illumination pattern of an LED street light is required to have a rectangular distribution at a divergence-angle ratio of 7:3 for economical illumination. Hence, research supplying a secondary optics with two cylindrical lenses was different from free-form curvature for rectangular illumination. The analytical solution for curvatures with different ratio rectangles solved this detail by light tracing and boundary conditions. Similarities between the experiments and the simulation for a single LED and a 9-LED module were analyzed by Normalized Cross Correlation (NCC), and the error rate was studied by the Root Mean Square (RMS). The tolerance of position must be kept under ± 0.2 mm in the x, y and z directions to ensure that the relative illumination is over 99%.

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
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2011 (1)

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

2010 (3)

2008 (3)

2007 (1)

M. Liu, B. Rong, and H. W. M. Salemink, “Evaluation of LED application in general lighting,” Opt. Eng. 46(7), 074002 (2007).
[Crossref]

2006 (3)

2005 (1)

J. Wafer, “LEDs continue to advance,” Photon. Spectra 39, 60–62 (2005).

2004 (2)

Y. Narukawa, “White-light LEDs,” Opt. Photon. News 15, 24–29 (2004).

H. J. Vreman, R. J. Wong, and D. K. Stevenson, “Phototherapy: current methods and future directions,” Semin. Perinatol. 28(5), 326–333 (2004).
[Crossref] [PubMed]

2003 (2)

D. G. Pelka and K. Patel, “An overview of LED applications for general illumination,” Proc. SPIE 5186, 15–26 (2003).
[Crossref]

H. Ries, I. Leike, and J. Muschaweck, “Mixing colored LED sources,” Proc. SPIE 5186, 27–32 (2003).
[Crossref]

2002 (1)

S. Muthu, F. J. P. Schuurmans, and M. D. Pashley, “Red, green and blue LEDs for white light illumination,” IEEE J. Sel. Top. Quantum Electron. 8(2), 333–338 (2002).
[Crossref]

2001 (1)

A. F. McDonagh, “Phototherapy: from ancient Egypt to the new millennium,” J. Perinatol. 21(Suppl 1), S7–S12 (2001).
[Crossref] [PubMed]

Avendaño-Alejo, M.

Bergmans, J. W. M.

Cakmakci, O.

Chen, F.

Chen, H. C.

H. C. Chen and G. Y. Wu, “Investigation of irradiance efficiency for LED phototherapy with different arrays,” Opt. Commun. 283(24), 4882–4886 (2010).
[Crossref]

H. C. Chen, C. -C. Lee, and J. J. Huang, “Improving the illumination efficiency and color temperature for a projection system by depositing thin-film coatings on an x-cube prism,” Opt. Eng. 45(11), 113801 (2006).
[Crossref]

Cheung, B.

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

Ding, Y.

Feng, Z.

Foroosh, H.

Gu, P. F.

Han, Y.

Huang, J. J.

H. C. Chen, C. -C. Lee, and J. J. Huang, “Improving the illumination efficiency and color temperature for a projection system by depositing thin-film coatings on an x-cube prism,” Opt. Eng. 45(11), 113801 (2006).
[Crossref]

Huang, S. M.

Jiang, J.

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

Lee, C. -C.

H. C. Chen, C. -C. Lee, and J. J. Huang, “Improving the illumination efficiency and color temperature for a projection system by depositing thin-film coatings on an x-cube prism,” Opt. Eng. 45(11), 113801 (2006).
[Crossref]

Lee, T. X.

Lee, W. B.

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

Lee, Y. L.

Leike, I.

H. Ries, I. Leike, and J. Muschaweck, “Mixing colored LED sources,” Proc. SPIE 5186, 27–32 (2003).
[Crossref]

Li, H.

Linnartz, J. P. M. G.

Liu, M.

M. Liu, B. Rong, and H. W. M. Salemink, “Evaluation of LED application in general lighting,” Opt. Eng. 46(7), 074002 (2007).
[Crossref]

Liu, S.

Liu, X.

Liu, Z.

Luo, X.

Luo, Y.

Ma, S. H.

McDonagh, A. F.

A. F. McDonagh, “Phototherapy: from ancient Egypt to the new millennium,” J. Perinatol. 21(Suppl 1), S7–S12 (2001).
[Crossref] [PubMed]

Moore, B.

Moreno, I.

Muschaweck, J.

H. Ries, I. Leike, and J. Muschaweck, “Mixing colored LED sources,” Proc. SPIE 5186, 27–32 (2003).
[Crossref]

Muthu, S.

S. Muthu, F. J. P. Schuurmans, and M. D. Pashley, “Red, green and blue LEDs for white light illumination,” IEEE J. Sel. Top. Quantum Electron. 8(2), 333–338 (2002).
[Crossref]

Narukawa, Y.

Y. Narukawa, “White-light LEDs,” Opt. Photon. News 15, 24–29 (2004).

Pashley, M. D.

S. Muthu, F. J. P. Schuurmans, and M. D. Pashley, “Red, green and blue LEDs for white light illumination,” IEEE J. Sel. Top. Quantum Electron. 8(2), 333–338 (2002).
[Crossref]

Patel, K.

D. G. Pelka and K. Patel, “An overview of LED applications for general illumination,” Proc. SPIE 5186, 15–26 (2003).
[Crossref]

Pelka, D. G.

D. G. Pelka and K. Patel, “An overview of LED applications for general illumination,” Proc. SPIE 5186, 15–26 (2003).
[Crossref]

Ries, H.

H. Ries, I. Leike, and J. Muschaweck, “Mixing colored LED sources,” Proc. SPIE 5186, 27–32 (2003).
[Crossref]

Rietman, R.

Rolland, J. P.

Rong, B.

M. Liu, B. Rong, and H. W. M. Salemink, “Evaluation of LED application in general lighting,” Opt. Eng. 46(7), 074002 (2007).
[Crossref]

Salemink, H. W. M.

M. Liu, B. Rong, and H. W. M. Salemink, “Evaluation of LED application in general lighting,” Opt. Eng. 46(7), 074002 (2007).
[Crossref]

Schenk, T. C. W.

Schuurmans, F. J. P.

S. Muthu, F. J. P. Schuurmans, and M. D. Pashley, “Red, green and blue LEDs for white light illumination,” IEEE J. Sel. Top. Quantum Electron. 8(2), 333–338 (2002).
[Crossref]

Stevenson, D. K.

H. J. Vreman, R. J. Wong, and D. K. Stevenson, “Phototherapy: current methods and future directions,” Semin. Perinatol. 28(5), 326–333 (2004).
[Crossref] [PubMed]

Sun, C. C.

To, S.

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

Tzonchev, R. I.

Vreman, H. J.

H. J. Vreman, R. J. Wong, and D. K. Stevenson, “Phototherapy: current methods and future directions,” Semin. Perinatol. 28(5), 326–333 (2004).
[Crossref] [PubMed]

Wafer, J.

J. Wafer, “LEDs continue to advance,” Photon. Spectra 39, 60–62 (2005).

Wang, K.

Wong, R. J.

H. J. Vreman, R. J. Wong, and D. K. Stevenson, “Phototherapy: current methods and future directions,” Semin. Perinatol. 28(5), 326–333 (2004).
[Crossref] [PubMed]

Wu, G. Y.

H. C. Chen and G. Y. Wu, “Investigation of irradiance efficiency for LED phototherapy with different arrays,” Opt. Commun. 283(24), 4882–4886 (2010).
[Crossref]

Yang, H.

Zheng, Z. R.

Appl. Opt. (1)

IEEE J. Sel. Top. Quantum Electron. (1)

S. Muthu, F. J. P. Schuurmans, and M. D. Pashley, “Red, green and blue LEDs for white light illumination,” IEEE J. Sel. Top. Quantum Electron. 8(2), 333–338 (2002).
[Crossref]

J. Perinatol. (1)

A. F. McDonagh, “Phototherapy: from ancient Egypt to the new millennium,” J. Perinatol. 21(Suppl 1), S7–S12 (2001).
[Crossref] [PubMed]

Opt. Commun. (1)

H. C. Chen and G. Y. Wu, “Investigation of irradiance efficiency for LED phototherapy with different arrays,” Opt. Commun. 283(24), 4882–4886 (2010).
[Crossref]

Opt. Eng. (2)

H. C. Chen, C. -C. Lee, and J. J. Huang, “Improving the illumination efficiency and color temperature for a projection system by depositing thin-film coatings on an x-cube prism,” Opt. Eng. 45(11), 113801 (2006).
[Crossref]

M. Liu, B. Rong, and H. W. M. Salemink, “Evaluation of LED application in general lighting,” Opt. Eng. 46(7), 074002 (2007).
[Crossref]

Opt. Express (5)

Opt. Lett. (1)

Opt. Photon. News (1)

Y. Narukawa, “White-light LEDs,” Opt. Photon. News 15, 24–29 (2004).

Optik (Stuttg.) (1)

J. Jiang, S. To, W. B. Lee, and B. Cheung, “Optical design of a freeform TIR lens for LED streetlight,” Optik (Stuttg.) 122, 358–363 (2011).

Photon. Spectra (1)

J. Wafer, “LEDs continue to advance,” Photon. Spectra 39, 60–62 (2005).

Proc. SPIE (2)

H. Ries, I. Leike, and J. Muschaweck, “Mixing colored LED sources,” Proc. SPIE 5186, 27–32 (2003).
[Crossref]

D. G. Pelka and K. Patel, “An overview of LED applications for general illumination,” Proc. SPIE 5186, 15–26 (2003).
[Crossref]

Semin. Perinatol. (1)

H. J. Vreman, R. J. Wong, and D. K. Stevenson, “Phototherapy: current methods and future directions,” Semin. Perinatol. 28(5), 326–333 (2004).
[Crossref] [PubMed]

Other (2)

R. Winston, J. C. Miñano, and P. Benítez, eds., with contributions by N. Shatz and J. C. Bortz, eds., Nonimaging Optics (Elsevier Press, 2005), Chap. 7.

IESNA, American national standard practice for roadway lighting. Illuminating Engineering Society of North America, 1983.

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Figures (15)

Fig. 1
Fig. 1

Illumination patterns on the street for a (a) spherical and (b) cylindrical lens.

Fig. 2
Fig. 2

Mockup samples for the (a) single LED and (b) 9-LEDs module.

Fig. 3
Fig. 3

3D view of the secondary optics lens.

Fig. 4
Fig. 4

(a) Cylindrical lens focusing on an outside line and (b) divergence angles of the doubled cylindrical lens (U) and one spherical lens (V).

Fig. 5
Fig. 5

Light tracing of an oblique marginal ray in the x direction of (a) first surface and (b) second surface.

Fig. 6
Fig. 6

Light tracing of an oblique marginal ray in the y direction of (a) first surface and (b) second surface.

Fig. 7
Fig. 7

The flow of design and simulation.

Fig. 8
Fig. 8

The relationship of curvature Rx and divergence angle U with different (a) distance T and (b) tangent angle θ in the x-direction.

Fig. 9
Fig. 9

The variation of curvature Ry with the divergence angle V and distance T in the y-direction.

Fig. 10
Fig. 10

Rectangular illumination pattern in (a) simulation and (b) experiments for a single LED.

Fig. 11
Fig. 11

Rectangular illumination pattern in (a) simulation and (b) experiments for 9-LED modules.

Fig. 12
Fig. 12

Extent of similarity of (a) horizontal axis (X axis) and (b) vertical axis (Y axis) for a single LED.

Fig. 13
Fig. 13

Extent of similarity of (a) horizontal axis (X axis) and (b) vertical axis (Y axis) for 9-LED modules.

Fig. 14
Fig. 14

Polar candela pattern for (a) spherical lens and (b) cylindrical lens.

Fig. 15
Fig. 15

Relative illumination with different tolerance in the x, y and z directions.

Tables (1)

Tables Icon

Table 1 Comparison list of freeform lens and cylindrical lens

Equations (23)

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

U=(I I )+ U
nsin( 90 U θ)=sin( 90 θ U )
U = 90 θarcsin( sin( 90 θ U ) n )
sinI=nsin I
U 90 θarcsin( sin( 90 θ U ) n )I+arcsin( sinI n )=0
R x sin I =( R x M )sin U
xtanθ=(Tx)tan U
( F M )tan U = R x 2 d 2
[ F ( R x d)x ]tan U =[ F ( R x d)x ]tan U
T= F ( R x d)= tan U tan U ( R x 2 d 2 tan U R x sin I sin U +dx )+x
R x = 2wsin I tan 2 U cos U ± ( 2wsin I tan 2 U cos U ) 2 4( 1 ( tan U cos I cos U ) 2 )( d 2 w 2 tan 2 U ) 2[ 1 ( tan U cos I cos U ) 2 ]
V =V+J J
nsin V =sin V
J =arcsin( sinJ n )
arcsin( sin V n )=V+Jarcsin( sinJ n )
N = R y + R y sin J sin V
Ttan V =[ N ( N T) ]tan V
N = Ttan V tan V +T+ N
N = R y d y +T
R y =( d+ Ttan V tan V ) sin V sin J
NCC= m n ( X mn X ¯ )( Y mn Y ¯ ) [ m n ( X mn X ¯ ) 2 ] [ m n ( Y mn Y ¯ ) 2 ]
RMS= 1 S m n [ X mn Y mn ] 2
uniformity= E av. E min.

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