Abstract

We propose a numerical optimization method designing LED array for achieving a good uniform illumination distribution on target plane. Simulated annealing algorithm is employed to optimize LED array arrangement. Using the method, we optimized three LED arrays with various luminous intensity profiles. In order to exhibit the design freedom of the method, we use some LEDs with different intensity value in the first and third array, respectively. By optimizing, the three arrays all produced highly uniform illumination distribution with the uniformity of 0.12, 0.23 and 0.13, respectively. It indicates our method can design various luminous intensity distribution LED arrays and design array consisting of LEDs with different intensity value. In addition, the method is simple and can optimize the LED array automatically by computer program. To the best of our knowledge, it is first time to use numerical optimization method to design the optimal LED array arrangement for uniform irradiance.

© 2012 OSA

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    [CrossRef]
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    [CrossRef] [PubMed]

2011

2010

2009

Z. Zhenrong, H. Xiang, and L. Xu, “Freeform surface lens for LED uniform illumination,” Appl. Opt.48(35), 6627–6634 (2009).
[CrossRef] [PubMed]

K. Wang, S. Liu, F. Chen, Z. Qin, Z. Y. Liu, and X. B. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt.11(10), 105501 (2009).
[CrossRef]

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

A. J.-W. Whang, Y.-Y. Chen, and Y.-T. Teng, “Designing uniform illuminance systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009).
[CrossRef]

2008

2007

W. T. Chien, C. C. Sun, and I. Moreno, “Precise optical model of multi-chip white LEDs,” Opt. Express15(12), 7572–7577 (2007).
[CrossRef] [PubMed]

I. Moreno, J. Muñoz, and R. Ivanov, “Uniform illumination of distant targets using a spherical light-emitting diode array,” Opt. Eng.46(3), 033001 (2007).
[CrossRef]

2006

2004

1985

V. Cerny, “Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm,” J. Optim. Theory Appl.45(1), 41–51 (1985).
[CrossRef]

1983

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by Simulated Annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

1953

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Avendaño-Alejo, M.

Bergmans, J. W. M.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

Cerny, V.

V. Cerny, “Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm,” J. Optim. Theory Appl.45(1), 41–51 (1985).
[CrossRef]

Chen, F.

Chen, Y.-Y.

A. J.-W. Whang, Y.-Y. Chen, and Y.-T. Teng, “Designing uniform illuminance systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009).
[CrossRef]

Chien, W. T.

Ding, Y.

Feng, Z. X.

Gelatt, C. D.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by Simulated Annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Gu, P. F.

Han, Y. J.

Ivanov, R.

I. Moreno, J. Muñoz, and R. Ivanov, “Uniform illumination of distant targets using a spherical light-emitting diode array,” Opt. Eng.46(3), 033001 (2007).
[CrossRef]

Kang, S.

Kim, B.

Kim, H.

Kirkpatrick, S.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by Simulated Annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Linnartz, J. P. M. G.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

Liu, S.

Liu, X.

Liu, Z. Y.

K. Wang, S. Liu, F. Chen, Z. Qin, Z. Y. Liu, and X. B. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt.11(10), 105501 (2009).
[CrossRef]

Luo, X.

Luo, X. B.

K. Wang, D. Wu, Z. Qin, F. Chen, X. B. Luo, and S. Liu, “New reversing design method for LED uniform illumination,” Opt. Express19(S4Suppl 4), A830–A840 (2011).
[CrossRef] [PubMed]

K. Wang, S. Liu, F. Chen, Z. Qin, Z. Y. Liu, and X. B. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt.11(10), 105501 (2009).
[CrossRef]

Luo, Y.

Metropolis, N.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Moreno, I.

Muñoz, J.

I. Moreno, J. Muñoz, and R. Ivanov, “Uniform illumination of distant targets using a spherical light-emitting diode array,” Opt. Eng.46(3), 033001 (2007).
[CrossRef]

Qin, Z.

Rietman, R.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

Rosenbluth, A. W.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Rosenbluth, M. N.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Schenk, T. C. W.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

Sun, C. C.

Teller, A. H.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Teller, E.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

Teng, Y.-T.

A. J.-W. Whang, Y.-Y. Chen, and Y.-T. Teng, “Designing uniform illuminance systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009).
[CrossRef]

Tzonchev, R. I.

Vecchi, M. P.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by Simulated Annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Wang, K.

Wang, L.

Whang, A. J.-W.

A. J.-W. Whang, Y.-Y. Chen, and Y.-T. Teng, “Designing uniform illuminance systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009).
[CrossRef]

Wu, D.

Xiang, H.

Xu, L.

Yang, H.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

Zhang, H. Y.

Zheng, X. P.

Zheng, Z. R.

Zhenrong, Z.

Appl. Opt.

IEEE Trans. Signal Process.

H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, “Uniform illumination rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009).
[CrossRef]

J. Chem. Phys.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys.21(6), 1087–1092 (1953).
[CrossRef]

J. Disp. Technol.

A. J.-W. Whang, Y.-Y. Chen, and Y.-T. Teng, “Designing uniform illuminance systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009).
[CrossRef]

J. Opt. A, Pure Appl. Opt.

K. Wang, S. Liu, F. Chen, Z. Qin, Z. Y. Liu, and X. B. Luo, “Freeform LED lens for rectangularly prescribed illumination,” J. Opt. A, Pure Appl. Opt.11(10), 105501 (2009).
[CrossRef]

J. Optim. Theory Appl.

V. Cerny, “Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm,” J. Optim. Theory Appl.45(1), 41–51 (1985).
[CrossRef]

Opt. Eng.

I. Moreno, J. Muñoz, and R. Ivanov, “Uniform illumination of distant targets using a spherical light-emitting diode array,” Opt. Eng.46(3), 033001 (2007).
[CrossRef]

Opt. Express

Opt. Lett.

Science

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by Simulated Annealing,” Science220(4598), 671–680 (1983).
[CrossRef] [PubMed]

Other

http://lambdares.com/software_products/tracepro/ .

P. J. van Laarhoven and E. H. Aarts, “Simulated annealing,” in Simulated Annealing:Theory and Applications.(Kluwer Academic Publishers, Dordrecht,1987)

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