Abstract

This paper proposes a method for lens system design. It consists of two main steps called Glass-Selection Step and Further-Optimization Step. We modify coordinate-wise algorithm to obtain the glass combination in Glass-Selection Step. In Further-Optimization Step, we use modified coordinate-wise algorithm combined with modified evolutionary algorithm to find out the optimal solution. We succeed in obtaining high quality design with the proposed method.

© 2010 OSA

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    [CrossRef]
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2008 (1)

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

2005 (2)

L. N. Hazra and S. Chatterjee, “A prophylactic strategy for global synthesis in lens design,” Opt. Rev. 12(3), 247–254 (2005).
[CrossRef]

V. Franc, V. Hlavac, and M. Navara, “Sequential coordinate-wise algorithm for the non-negative least squares problem,” Lect. Notes Comput. Sci. 3691, 407–414 (2005).
[CrossRef]

2004 (1)

A. Håkansson, J. Sanchez-Dehesa, and L. Sanchis, “Acoustic lens design by genetic algorithms,” Phys. Rev. B 70(21), 214302 (2004).
[CrossRef]

2000 (1)

I. Ono, S. Kobayashi, and K. Yoshida, “Optimal lens design by real-coded genetic algorithm using UNDX,” Comput. Methods Appl. Mech. Eng. 186(2-4), 483–497 (2000).
[CrossRef]

1995 (1)

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

1993 (1)

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

1989 (1)

1985 (1)

1968 (1)

1944 (1)

K. Levenberg, “A method for the solution of certain non-linear problems in least squares,” Q. Appl. Math. 2, 164–168 (1944).

Bäck, T.

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

Banerjee, S.

Beaulieu, J.

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

Belkind, A.

Chatterjee, S.

L. N. Hazra and S. Chatterjee, “A prophylactic strategy for global synthesis in lens design,” Opt. Rev. 12(3), 247–254 (2005).
[CrossRef]

Dobrowolski, J. A.

Franc, V.

V. Franc, V. Hlavac, and M. Navara, “Sequential coordinate-wise algorithm for the non-negative least squares problem,” Lect. Notes Comput. Sci. 3691, 407–414 (2005).
[CrossRef]

Gagné, C.

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

Glatzel, E.

Håkansson, A.

A. Håkansson, J. Sanchez-Dehesa, and L. Sanchis, “Acoustic lens design by genetic algorithms,” Phys. Rev. B 70(21), 214302 (2004).
[CrossRef]

Hazra, L.

Hazra, L. N.

L. N. Hazra and S. Chatterjee, “A prophylactic strategy for global synthesis in lens design,” Opt. Rev. 12(3), 247–254 (2005).
[CrossRef]

Hiraga, K.

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Hlavac, V.

V. Franc, V. Hlavac, and M. Navara, “Sequential coordinate-wise algorithm for the non-negative least squares problem,” Lect. Notes Comput. Sci. 3691, 407–414 (2005).
[CrossRef]

Ho, F. C.

Ishikawa, J.

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Isshiki, M.

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Kobayashi, S.

I. Ono, S. Kobayashi, and K. Yoshida, “Optimal lens design by real-coded genetic algorithm using UNDX,” Comput. Methods Appl. Mech. Eng. 186(2-4), 483–497 (2000).
[CrossRef]

Koss, V. A.

Levenberg, K.

K. Levenberg, “A method for the solution of certain non-linear problems in least squares,” Q. Appl. Math. 2, 164–168 (1944).

Nakadate, S.

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Navara, M.

V. Franc, V. Hlavac, and M. Navara, “Sequential coordinate-wise algorithm for the non-negative least squares problem,” Lect. Notes Comput. Sci. 3691, 407–414 (2005).
[CrossRef]

Ono, H.

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Ono, I.

I. Ono, S. Kobayashi, and K. Yoshida, “Optimal lens design by real-coded genetic algorithm using UNDX,” Comput. Methods Appl. Mech. Eng. 186(2-4), 483–497 (2000).
[CrossRef]

Parizeau, M.

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

Sanchez-Dehesa, J.

A. Håkansson, J. Sanchez-Dehesa, and L. Sanchis, “Acoustic lens design by genetic algorithms,” Phys. Rev. B 70(21), 214302 (2004).
[CrossRef]

Sanchis, L.

A. Håkansson, J. Sanchez-Dehesa, and L. Sanchis, “Acoustic lens design by genetic algorithms,” Phys. Rev. B 70(21), 214302 (2004).
[CrossRef]

Schwefel, H. P.

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

Thibault, S.

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

Wilson, R.

Yoshida, K.

I. Ono, S. Kobayashi, and K. Yoshida, “Optimal lens design by real-coded genetic algorithm using UNDX,” Comput. Methods Appl. Mech. Eng. 186(2-4), 483–497 (2000).
[CrossRef]

Appl. Opt. (3)

Appl. Soft Comput. (1)

C. Gagné, J. Beaulieu, M. Parizeau, and S. Thibault, “Human-competitive lens system design with evolution strategies,” Appl. Soft Comput. 8(4), 1439–1452 (2008).
[CrossRef]

Comput. Methods Appl. Mech. Eng. (1)

I. Ono, S. Kobayashi, and K. Yoshida, “Optimal lens design by real-coded genetic algorithm using UNDX,” Comput. Methods Appl. Mech. Eng. 186(2-4), 483–497 (2000).
[CrossRef]

Evol. Comput. (1)

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

Lect. Notes Comput. Sci. (1)

V. Franc, V. Hlavac, and M. Navara, “Sequential coordinate-wise algorithm for the non-negative least squares problem,” Lect. Notes Comput. Sci. 3691, 407–414 (2005).
[CrossRef]

Opt. Rev. (2)

L. N. Hazra and S. Chatterjee, “A prophylactic strategy for global synthesis in lens design,” Opt. Rev. 12(3), 247–254 (2005).
[CrossRef]

M. Isshiki, H. Ono, K. Hiraga, J. Ishikawa, and S. Nakadate, “Lens design: global optimization with escape function,” Opt. Rev. 2(6), 463–470 (1995).
[CrossRef]

Phys. Rev. B (1)

A. Håkansson, J. Sanchez-Dehesa, and L. Sanchis, “Acoustic lens design by genetic algorithms,” Phys. Rev. B 70(21), 214302 (2004).
[CrossRef]

Q. Appl. Math. (1)

K. Levenberg, “A method for the solution of certain non-linear problems in least squares,” Q. Appl. Math. 2, 164–168 (1944).

Other (4)

J. M. Geary, Introduction to Lens Design: with Practical ZEMAX, (Willmann-Bell, 2002).

J. Beaulieu, C. Gagne, and M. Parizeau, “Lens system design and re-engineering with evolutionary algorithm,” Proc.GECCO, 155–162 (2002).

SCHOTT, http://www.schott.com/optocs_devices/english/download/ .

W. T. Welford, Aberrations of the symmetrical optical system, (Academic Press, New York, 1974).

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