Abstract

A two-layered Hierarchical Genetic Algorithm (HGA) was proposed in a previous paper to solve the design problem of a large scale Fresnel lens used in a multiple-source lighting system. The research objective of this paper is to extend the previous work by utilizing a three-layered HGA. The goal of the suggested approach is to decrease the reliance on deciding the number of groove segments for the designed Fresnel lenses, as well as to increase the variety of groove angles in a segment to improve the performance of the designed Fresnel lens. The proposed algorithm will be applied on a simulated reading light system, and the simulation results demonstrate that the proposed approach not only makes the design of a large scale Fresnel lens more feasible but also works better than the previous one in both illuminance and uniformity for a simulated reading light system.

© 2007 Optical Society of America

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References

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    [CrossRef]
  5. W.-T. Chien, C. C. Sun, and I. Moreno, "Precise optical modeling of multi-chip white LEDs," Opt. Express. 15, 7572-7577 (2007).
    [CrossRef]
  6. C. C. Sun, T. X. Lee, S. H. Ma, Y. L. Lee, and S. M Huang, "Precise optical modeling for LED lighting verified by cross correlation in the midfield region," Opt. Lett. 31, 2193-2195 (2006).
    [CrossRef]
  7. F. Munoz, P. Benitez, O. Dross, J. C. Minano, and B. Parkyn, "Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes," Opt. Eng. 43,1522-1530 (2004).
    [CrossRef]
  8. P. Benitez, J. C. Minano, J. Blen, R. Mohendano, J. Chaves, O. Dross, M. Hemandez, and W. Falicoff, "Simultaneous multiple surface optical design," Opt. Eng. 43, 1489-1502 (2004).
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  10. M. Gen and R. W. Cheng, Genetic Algorithms and Engineering Design, (Addison Wesley, 1997).
  11. W. G. Chen and C. M. Uang, "The design of a reading light system with RGB white light LED by Fresnel lens and evolutionary algorithms," Proc. SPIE 5560,370-379 (2005).
  12. W. G. Chen and C. M. Uang, "Better Reading Light System with light-emitting diodes using optimized Fresnel lens," Opt. Eng. 45, 063001-1-7 (2006).
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  14. W. G. Chen and C. M. Uang, "Hierarchical Genetic Algorithm based design of a large scale Fresnel lens for a reading light system with multiple LED sources," Appl. Opt. 45, 7832-7840 (2006).
    [CrossRef]

2007 (1)

W.-T. Chien, C. C. Sun, and I. Moreno, "Precise optical modeling of multi-chip white LEDs," Opt. Express. 15, 7572-7577 (2007).
[CrossRef]

2006 (4)

2005 (1)

W. G. Chen and C. M. Uang, "The design of a reading light system with RGB white light LED by Fresnel lens and evolutionary algorithms," Proc. SPIE 5560,370-379 (2005).

2004 (2)

F. Munoz, P. Benitez, O. Dross, J. C. Minano, and B. Parkyn, "Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes," Opt. Eng. 43,1522-1530 (2004).
[CrossRef]

P. Benitez, J. C. Minano, J. Blen, R. Mohendano, J. Chaves, O. Dross, M. Hemandez, and W. Falicoff, "Simultaneous multiple surface optical design," Opt. Eng. 43, 1489-1502 (2004).

Appl. Opt. (1)

Opt. Eng. (3)

F. Munoz, P. Benitez, O. Dross, J. C. Minano, and B. Parkyn, "Simultaneous multiple surface design of compact air-gap collimators for light-emitting diodes," Opt. Eng. 43,1522-1530 (2004).
[CrossRef]

P. Benitez, J. C. Minano, J. Blen, R. Mohendano, J. Chaves, O. Dross, M. Hemandez, and W. Falicoff, "Simultaneous multiple surface optical design," Opt. Eng. 43, 1489-1502 (2004).

W. G. Chen and C. M. Uang, "Better Reading Light System with light-emitting diodes using optimized Fresnel lens," Opt. Eng. 45, 063001-1-7 (2006).

Opt. Express. (1)

W.-T. Chien, C. C. Sun, and I. Moreno, "Precise optical modeling of multi-chip white LEDs," Opt. Express. 15, 7572-7577 (2007).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (1)

W. G. Chen and C. M. Uang, "The design of a reading light system with RGB white light LED by Fresnel lens and evolutionary algorithms," Proc. SPIE 5560,370-379 (2005).

Other (6)

Lambda Research Corporation, MA, USA, TRACEPRO Reference Manual, Available: http://www.lambdares.com/.

T. S. Yu and X. Y. Yang, Introduction to Optical Engineering, Chap. 1-3, 1997.

Reflexite Display Optics, NY , USA. Available: http://www.display-optics.com/.

A. Davis, R. C. Bush, J. C. Harvey and M. F. Foley, "Fresnel lenses in rear projection displays," SID 2001 Digest, Volume XXXII, pp. 934-937, June 2001

D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, (Addison Wesley, 1989).

M. Gen and R. W. Cheng, Genetic Algorithms and Engineering Design, (Addison Wesley, 1997).

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