Abstract

An optical solution method with genetic algorithm (GA) is proposed as a means to minimize the Petzval field curvature aberration (Petzval FCA), which is intrinsic, but plays a significant role at improvement of projection optics. Petzval FCA is generally more sensitive to the surface curvature and refractive index, closely related to the fundamental optical layout and its physical concept. Through the proposed optimization method in this research, with crossover and mutation operations provided by the GA, the simulation results imply that 79.75% at least of the Petzval FCA of projection optics can be eliminated, which leads to better performance of projector optics, especially in 1080P and 3-D high-definition projection optics.

© 2014 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. Y.-C. Fang, C.-M. Tsai, W.-T. Lin, Y.-C. Lin, "2X zoom ratio telecentric projector lens design for 1080P high definition television (HDTV) with minimum 8000 K color temperature," Opt. Rev. 14, 325-333 (2007).
  2. J.-S. Jang, Y.-S. Oh, B. Javidi, "Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display," Opt. Exp. 12, 557-563 (2004).
  3. V. M. Duran-Ramirez, D. Malacara-Doblado, "Keystone aberration correction in overhead projectors," Appl. Opt. 43, 4123-4126 (2004).
  4. B. Blandford, "Taking care of field curvature in visual optical instruments," Proc. SPIE 7100, 71000R-71000R-9 (2008).
  5. Rim, Seung-Bum, P. B. Catrysse, R. Dinyari, K. Hunag, P. Peumans, "The optical advantages of curved focal plane arrays," Opt. Express 16, 4965-4971 (2008).
  6. K. Levenberg, "A method for the solution of certain problems in least squares," Quart. Appl. Math. 2, 164-168 (1994).
  7. D. Vasiljevic, "Optimization of the cooke triplet with the various evolution strategies and the damped least squares," Proc. SPIE 3780, 207-215 (1999).
  8. Y.-C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.
  9. Y.-C. Fang, C.-M. Tsai, "Miniature lens design and optimization with liquid lens element via genetic algorithm," J. Opt. A, Pure Appl. Opt. 10, (2008) Art. ID 075304.
  10. C.-M. Tsai, Y.-C. Fang, Y.-C. Pa, "Suppression of primary chromatic aberration by genetic algorithm in an advanced telephoto lens," Optik 120, 788-796 (2009).
  11. Y. C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.
  12. C.-C. Chen, C.-M. Tsai, Y. C. Fang, "Optical design of LCOS optical engine and optimization with genetic algorithm," J. Display Technol. 5, 293-305 (2009).
  13. W. J. Smith, Modern Optical Engineering (McGraw-Hill, 2001).
  14. H. H. Hopkins, Wave Theory of Aberrations (Clarendon, 1950).
  15. W. T. Welford, Aberrations of Optical Systems (Adam Hilger, 1986).
  16. L. Davis, Handbook of Genetic Algorithms (Van Nostrand Reinhold, 1991).

2009 (4)

C.-M. Tsai, Y.-C. Fang, Y.-C. Pa, "Suppression of primary chromatic aberration by genetic algorithm in an advanced telephoto lens," Optik 120, 788-796 (2009).

Y. C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.

C.-C. Chen, C.-M. Tsai, Y. C. Fang, "Optical design of LCOS optical engine and optimization with genetic algorithm," J. Display Technol. 5, 293-305 (2009).

Y.-C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.

2008 (3)

Y.-C. Fang, C.-M. Tsai, "Miniature lens design and optimization with liquid lens element via genetic algorithm," J. Opt. A, Pure Appl. Opt. 10, (2008) Art. ID 075304.

Rim, Seung-Bum, P. B. Catrysse, R. Dinyari, K. Hunag, P. Peumans, "The optical advantages of curved focal plane arrays," Opt. Express 16, 4965-4971 (2008).

B. Blandford, "Taking care of field curvature in visual optical instruments," Proc. SPIE 7100, 71000R-71000R-9 (2008).

2007 (1)

Y.-C. Fang, C.-M. Tsai, W.-T. Lin, Y.-C. Lin, "2X zoom ratio telecentric projector lens design for 1080P high definition television (HDTV) with minimum 8000 K color temperature," Opt. Rev. 14, 325-333 (2007).

2004 (2)

J.-S. Jang, Y.-S. Oh, B. Javidi, "Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display," Opt. Exp. 12, 557-563 (2004).

V. M. Duran-Ramirez, D. Malacara-Doblado, "Keystone aberration correction in overhead projectors," Appl. Opt. 43, 4123-4126 (2004).

1999 (1)

D. Vasiljevic, "Optimization of the cooke triplet with the various evolution strategies and the damped least squares," Proc. SPIE 3780, 207-215 (1999).

1994 (1)

K. Levenberg, "A method for the solution of certain problems in least squares," Quart. Appl. Math. 2, 164-168 (1994).

Appl. Opt. (1)

J. Display Technol. (1)

C.-C. Chen, C.-M. Tsai, Y. C. Fang, "Optical design of LCOS optical engine and optimization with genetic algorithm," J. Display Technol. 5, 293-305 (2009).

J. Opt. A, Pure Appl. Opt. (1)

Y.-C. Fang, C.-M. Tsai, "Miniature lens design and optimization with liquid lens element via genetic algorithm," J. Opt. A, Pure Appl. Opt. 10, (2008) Art. ID 075304.

J. Opt. A, Pure Appl. Opt. (2)

Y.-C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.

Y. C. Fang, T.-K. Liu, C.-M. Tsai, J.-H. Chou, H.-C. Lin, W. T. Lin, "Extended optimization of chromatic aberrations via a hybrid Taguchi-genetic algorithm for zoom optics with a diffractive optical element," J. Opt. A, Pure Appl. Opt. 11, (2009) Art. ID 045706.

Opt. Exp. (1)

J.-S. Jang, Y.-S. Oh, B. Javidi, "Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display," Opt. Exp. 12, 557-563 (2004).

Opt. Express (1)

Opt. Rev. (1)

Y.-C. Fang, C.-M. Tsai, W.-T. Lin, Y.-C. Lin, "2X zoom ratio telecentric projector lens design for 1080P high definition television (HDTV) with minimum 8000 K color temperature," Opt. Rev. 14, 325-333 (2007).

Optik (1)

C.-M. Tsai, Y.-C. Fang, Y.-C. Pa, "Suppression of primary chromatic aberration by genetic algorithm in an advanced telephoto lens," Optik 120, 788-796 (2009).

Proc. SPIE (2)

D. Vasiljevic, "Optimization of the cooke triplet with the various evolution strategies and the damped least squares," Proc. SPIE 3780, 207-215 (1999).

B. Blandford, "Taking care of field curvature in visual optical instruments," Proc. SPIE 7100, 71000R-71000R-9 (2008).

Quart. Appl. Math. (1)

K. Levenberg, "A method for the solution of certain problems in least squares," Quart. Appl. Math. 2, 164-168 (1994).

Other (4)

W. J. Smith, Modern Optical Engineering (McGraw-Hill, 2001).

H. H. Hopkins, Wave Theory of Aberrations (Clarendon, 1950).

W. T. Welford, Aberrations of Optical Systems (Adam Hilger, 1986).

L. Davis, Handbook of Genetic Algorithms (Van Nostrand Reinhold, 1991).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.