Abstract

This paper proposes a method called Jump method for optimization of optical thin films. The method is the combination of local search strategy using modified Coordinate-Wise Algorithm and global search strategy using modified Evolutionary Algorithm. Jump method can evolve the designs of optical thin films for good performances. The design of a dielectric beam splitter and an edge filter as examples is carried out and the results indicate that Jump method is a very robust algorithm for optical thin film designs.

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References

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  1. J. A. Dobrowolski, F. C. Ho, A. Belkind, and V. A. Koss, “Merit function for more effective thin film calculations,” Appl. Opt. 28(14), 2824–2831 (1989).
    [Crossref] [PubMed]
  2. A. V. Tikhonravov and M. K. Trubetskov, “Modern status and prospects of the development of methods of designing multilayer optical coatings,” J. Opt. Technol. 74, 845–850 (2007).
    [Crossref]
  3. J. A. Dobrowolski and R. A. Kemp, “Refinement of optical multilayer systems with different optimization procedures,” Appl. Opt. 29(19), 2876–2893 (1990).
    [Crossref] [PubMed]
  4. J. A. Dobrowolski, “Numerical methods for optical thin films,” Opt. Photonics News 8, 24–33 (1997).
    [Crossref]
  5. A. V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, “Optical coating design approaches based on the needle optimization technique,” Appl. Opt. 46(5), 704–710 (2007).
    [Crossref] [PubMed]
  6. T. Bäck and H. P. Schwefel, “An overview of evolution algorithms for parameter optimization,” Evol. Comput. 1(1), l–23 (1993).
    [Crossref]
  7. J. M. Yang and C. Y. Kao, “A robust evolutionary algorithm for optical thin-film designs,” Evol. Comput. 2, 978–985 (2000).
  8. V. Yakovlev and G. Tempea, “Optimization of chirped mirrors,” Appl. Opt. 41(30), 6514–6520 (2002).
    [Crossref] [PubMed]
  9. Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
    [Crossref]
  10. H.-P. Schwefel, “Numerical Optimization of Computer Models,” (Wiley, New York, 1981).

2008 (1)

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

2007 (2)

2002 (1)

2000 (1)

J. M. Yang and C. Y. Kao, “A robust evolutionary algorithm for optical thin-film designs,” Evol. Comput. 2, 978–985 (2000).

1997 (1)

J. A. Dobrowolski, “Numerical methods for optical thin films,” Opt. Photonics News 8, 24–33 (1997).
[Crossref]

1993 (1)

T. Bäck and H. P. Schwefel, “An overview of evolution algorithms for parameter optimization,” Evol. Comput. 1(1), l–23 (1993).
[Crossref]

1990 (1)

1989 (1)

Bäck, T.

T. Bäck and H. P. Schwefel, “An overview of evolution algorithms for parameter optimization,” Evol. Comput. 1(1), l–23 (1993).
[Crossref]

Belkind, A.

DeBell, G. W.

Dobrowolski, J. A.

Ho, F. C.

Kao, C. Y.

J. M. Yang and C. Y. Kao, “A robust evolutionary algorithm for optical thin-film designs,” Evol. Comput. 2, 978–985 (2000).

Kemp, R. A.

Koss, V. A.

Li, D. H.

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

Peng, B. J.

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

Schwefel, H. P.

T. Bäck and H. P. Schwefel, “An overview of evolution algorithms for parameter optimization,” Evol. Comput. 1(1), l–23 (1993).
[Crossref]

Tao, Y. H.

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

Tempea, G.

Tikhonravov, A. V.

Trubetskov, M. K.

Wang, Q. H.

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

Yakovlev, V.

Yang, J. M.

J. M. Yang and C. Y. Kao, “A robust evolutionary algorithm for optical thin-film designs,” Evol. Comput. 2, 978–985 (2000).

Zhao, W. X.

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

Appl. Opt. (4)

Evol. Comput. (2)

T. Bäck and H. P. Schwefel, “An overview of evolution algorithms for parameter optimization,” Evol. Comput. 1(1), l–23 (1993).
[Crossref]

J. M. Yang and C. Y. Kao, “A robust evolutionary algorithm for optical thin-film designs,” Evol. Comput. 2, 978–985 (2000).

J. Disp. Technol. (1)

Q. H. Wang, D. H. Li, B. J. Peng, Y. H. Tao, and W. X. Zhao, “Multi-layer dielectric color filters for optically written display using up-conversion of near infrared light,” J. Disp. Technol. 4(2), 250–253 (2008).
[Crossref]

J. Opt. Technol. (1)

Opt. Photonics News (1)

J. A. Dobrowolski, “Numerical methods for optical thin films,” Opt. Photonics News 8, 24–33 (1997).
[Crossref]

Other (1)

H.-P. Schwefel, “Numerical Optimization of Computer Models,” (Wiley, New York, 1981).

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Figures (4)

Fig. 1
Fig. 1

The structure of the thin film

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Fig. 2
Fig. 2

Flow chart of Jump method.

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Fig. 3
Fig. 3

The wavelength-dependent transmittance of the dielectric beam splitter for different number of layers using Jump method.

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Fig. 4
Fig. 4

The transmittance of the edge filter using Jump method.

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Tables (3)

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Table 1 Parameters of Jump method used for the simulation of the dielectric beam splitter.

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Table 2 Some parameters of the dielectric beam splitter using Jump method.

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Table 3 Some parameters of the edge filter using Jump method.

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Equations (12)

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F=∑K=1W{[R(η,d,λK)−R(λK)]2}1/2,
T′=T                       (if   f′<f),
T′=T+1                       (if   f′>f),
di′=di+u                       (if     T′=0),
di′=di−u                       (if   T′=1),
u′=Cu
dic=dia(withtheprobabilityPc),
dic=dib(withtheprobability1−Pc),
vic=viaexp[τN(0,1)+τ′Ni(0,1)],
dic=dia+vicNi(0,1),
τ=(2n)−1,
τ′=(2n)−1.

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