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Free-Form Reflector Design Using Differential Evolution Algorithm

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Abstract:

NURBS surface representation, combined with Differential Evolution (DE), enables us to perform automated non-imaging reflector design. The overall result is a simple automated nonimaging reflector design technique and only a little data such as desired illuminance distribution and searching limits are needed. Merit functions specific to non-imaging reflector design are presented. Using different merit functions, the generated illuminance distribution can be uniform as well as concentrated. DE is performed to obtain the reflector that generates the desired illuminance distribution. The photometric distributions are calculated through Monte-Carlo ray tracing and the illuminance value is used to calculate the merit function value. The validity of the proposed approach is demonstrated by optimization examples. Almost the same uniform illuminance distribution can be obtained using the algorithm proposed in this paper as that obtained by edge-raymethod. A concentrated illuminance distribution can also be generated using the algorithm proposed.

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Periodical:

Key Engineering Materials (Volumes 364-366)

Pages:

138-142

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.364-366.138

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Cite this paper

Online since:

December 2007

Authors:

Bo Yang, Guo Fan Jin, Yong Tian Wang

Keywords:

Differential Evolution (DE), Freeform, Illumination, Optical Design, Optimization, Reflector

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© 2008 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] W. B. Elmer, The optical design of Reflectors 2nd ed, John Wiley & Sons, Inc., New York (1980).

Google Scholar

[2] W.T. Welford and R. Winston, The optics of Nonimaging Concentrators, Academic Press, New York (1978).

Google Scholar

[3] R. Winston and H. Ries, Nonimaging reflectors as functionals of the desired irradiance, J. Opt. Soc. Am. A 10(9) (1993), p. (1902).

DOI: 10.1364/josaa.10.001902

Google Scholar

[4] H.R. Ries and R. Winston, Tailored edge-ray reflectors for illumination, J. Opt. Soc. Am. A 11(4) (1994), p.1260.

DOI: 10.1364/josaa.11.001260

Google Scholar

[5] P.T. Ong, J.M. Gordon, A. Rabl and W. Cai, Tailored edge-ray designs for uniform illumination of distant targets, Opt. Eng. 34(6) (1995), p.1726.

DOI: 10.1117/12.203116

Google Scholar

[6] N. Shatz and J. Bortz, An inverse engineering perspective on non-imaging optical design, Proc. SPIE 2538 (1995), p.136.

Google Scholar

[7] H. Ries,N. Shatz,J. Bortz and W. Spirkl, Performance limitations of rotationally symmertric nonimaging devices, J. Opt. Soc. Am. A 14(10) (1997) , p.2855.

DOI: 10.1364/josaa.14.002855

Google Scholar

[8] S. Doyle, D. Corcoran and J. Connell, Automated mirror design using an evolution strategy, Opt. Eng. 38(2) (1999), p.323.

DOI: 10.1117/1.602091

Google Scholar

[9] J.H. Holland, Adaptation in Natural and Artificial Systems, MIT Press, Cambridge, MA(1992).

Google Scholar

[10] E. Betensky, Postmodern lens design, Opt. Eng. 32(8) (1993), p.1750.

Google Scholar

[11] X. Chen and K. Yamamoto, Genetic Algorithm and its application in lens design, Proc. SPIE 2863 (1996), p.216.

Google Scholar

[12] R. Storn and K. Price, Differential Evolution- a simple and efficient heuristic for global optimization over continuous spaces, J. Global Optim. 11(4) (1997), p.341.

Google Scholar