Abstract

This paper demonstrates an optical design of miniature of LCOS optical engine and optics with white light-emitting diode (LED) and the most importantly, proposes a new optimization method for non-image optics via Genetic Algorithm (GA) written in Optical Software ASAP, in order to achieve best performance for light efficiency and uniformity. Thanks to the development of modern digital equipment, optimization work for non-image optics plays a role in modern optical engineering. So far Least Damping Square, Taguchi Fuzzy, and simulation annealing methods have been introduced and some of them has been applied to many items of commercial simulation software. However, GA is first introduced in this paper for non-image optical design and optimization, although it has been for many years been used as effective optimization method in image optics; In this paper, GAs are written in the form of macro language from ASAP. During the design process, we used one OPTEK Technology OVS3WBCR44 LED as the light source of the general projection display. Because of the extensiveness of the LEDS, the collection efficiency within the desired acceptance angle was not expected to be high. Due to the particular acceptance angle (cone), we needed a condenser lens system, which satisfied the light small angle incident to 0.59-in liquid-crystal-on-silicon (LCOS) pixels. The optical engine in this paper is designed for a compact LCOS projector with a white LED light source and the employment of an LCOS panel has been reduced to one piece in order to get the best volumetric size. Optical design specification is mainly for an 11$^{\prime\prime}$ projected screen, whose objective distance is close to 420 mm with fixed focal lens. GA methods are applied in this research in order to achieve maximum brightness and uniformity. Compared to traditional optimization methods, such as Least Damping Square, the GA used in this research gives reasonably good results.

© 2009 IEEE

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  1. F. Kuan-Hsu, National Chiao Tung Univ.HsinchuTaiwan“Study on the fringing-field and diffraction effects of LCOS panels,” (2005) pp. 1-8.
  2. H.-C. Hsu, Inst. Electro-Opt. Eng., Chang-Gung Univ.“Study in the illumination system of ultra-compact LCOS projector,” (2004) pp. 55-56.
  3. Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "Multi-objective design optimization for developing a miniature LED pocket-sized projection display," Opt. Rev. 15, 241-250 (2008).
  4. Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "A Taguchi PCA fuzzy-based approach for the multi-objective extended optimization of a miniature optical engine," J.Pure Appl. Opt. D 41, 175108 (2008).
  5. Y.-C. Fang, C.-M. Tsai, J. MacDonald, Y.-C. Pai, "Eliminating chromatic aberration in Gauss-type lens design using a novel genetic algorithm," Appl. Opt. 46, 2401-2409 (2007).
  6. Y. C. Fang, T.-K. Liu, J. MacDonald, J.-H. Chou, B. W. Wu, "Optimizing chromatic aberration calibration using a novel genetic algorithm," J. Modern Opt. 53, 1411-1427 (2006).
  7. Y.-C. Fang, T.-K. Liu, B.-W. Wu, J.-H. Chou, J. MacDonald, "Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms," Opt. Lasers in Eng. 46, 363-372 (2008).
  8. Y.-C. Fang, B.-W. Wu, T.-K. Liu, "Eliminating lateral color aberration of a high resolution digital projection lens using a novel genetic algorithm," Opt. Eng. 46, 1-12 (2007) 073003.
  9. C. F. Bee, Large Screen Projection Technol. (Hi Fi Technology, 2006) pp. 55-61.
  10. OPTEK Technology Inc.OVS3W_Series.pdf http://www.optekinc.com.
  11. M. Huseyin, H. De Smet, D. Cuypers, "Compact LED projector with tapered light pipes for moderate light output applications," Displays 27, 117-123 (2006) (2006).
  12. H. B. Chen, (2004)Optical design of high power LED source and its light guide Nat. Central Univ. pp. 35-39.
  13. J. H. Holland, Adaptation in Natural and Artificial Systems (Univ. of Michigan Press, 1975).
  14. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, 1989).
  15. Y.-T. Liu, Nat. Kaohsiung First Univ. Sci. and Technol.Applications of multi-objective optimization evolution algorithm to robust airline schedule recovery (2007).
  16. H.-L. Tsai, Nat. Kaohsiung First Univ. Sci. and Technol.Elimination of primary achromatic aberration of optical lens design using hybrid Taguchi-genetic algorithm (2006).
  17. J.-T. Tsai, Nat. Kaohsiung First Univ. Sci. and Technol.Hybrid Taguchi-genetic algorithm and its applications (2004) pp. 5-35.
  18. C.-H. Lai, Nat. Kaohsiung First Univ. Sci. and Technol.Applications of intelligent Taguchi genetic algorithm to solve scheduling problems (2005) pp. 17-26.

2008 (3)

Y.-C. Fang, T.-K. Liu, B.-W. Wu, J.-H. Chou, J. MacDonald, "Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms," Opt. Lasers in Eng. 46, 363-372 (2008).

Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "Multi-objective design optimization for developing a miniature LED pocket-sized projection display," Opt. Rev. 15, 241-250 (2008).

Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "A Taguchi PCA fuzzy-based approach for the multi-objective extended optimization of a miniature optical engine," J.Pure Appl. Opt. D 41, 175108 (2008).

2007 (2)

Y.-C. Fang, C.-M. Tsai, J. MacDonald, Y.-C. Pai, "Eliminating chromatic aberration in Gauss-type lens design using a novel genetic algorithm," Appl. Opt. 46, 2401-2409 (2007).

Y.-C. Fang, B.-W. Wu, T.-K. Liu, "Eliminating lateral color aberration of a high resolution digital projection lens using a novel genetic algorithm," Opt. Eng. 46, 1-12 (2007) 073003.

2006 (2)

M. Huseyin, H. De Smet, D. Cuypers, "Compact LED projector with tapered light pipes for moderate light output applications," Displays 27, 117-123 (2006) (2006).

Y. C. Fang, T.-K. Liu, J. MacDonald, J.-H. Chou, B. W. Wu, "Optimizing chromatic aberration calibration using a novel genetic algorithm," J. Modern Opt. 53, 1411-1427 (2006).

Appl. Opt. (1)

Displays (1)

M. Huseyin, H. De Smet, D. Cuypers, "Compact LED projector with tapered light pipes for moderate light output applications," Displays 27, 117-123 (2006) (2006).

J. Modern Opt. (1)

Y. C. Fang, T.-K. Liu, J. MacDonald, J.-H. Chou, B. W. Wu, "Optimizing chromatic aberration calibration using a novel genetic algorithm," J. Modern Opt. 53, 1411-1427 (2006).

J.Pure Appl. Opt. D (1)

Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "A Taguchi PCA fuzzy-based approach for the multi-objective extended optimization of a miniature optical engine," J.Pure Appl. Opt. D 41, 175108 (2008).

Opt. Eng. (1)

Y.-C. Fang, B.-W. Wu, T.-K. Liu, "Eliminating lateral color aberration of a high resolution digital projection lens using a novel genetic algorithm," Opt. Eng. 46, 1-12 (2007) 073003.

Opt. Lasers in Eng. (1)

Y.-C. Fang, T.-K. Liu, B.-W. Wu, J.-H. Chou, J. MacDonald, "Chromatic aberration elimination for digital rear projection television L-type lens by genetic algorithms," Opt. Lasers in Eng. 46, 363-372 (2008).

Opt. Rev. (1)

Y.-C. Fang, Y.-F. Tzeng, S.-X. Li, "Multi-objective design optimization for developing a miniature LED pocket-sized projection display," Opt. Rev. 15, 241-250 (2008).

Other (11)

F. Kuan-Hsu, National Chiao Tung Univ.HsinchuTaiwan“Study on the fringing-field and diffraction effects of LCOS panels,” (2005) pp. 1-8.

H.-C. Hsu, Inst. Electro-Opt. Eng., Chang-Gung Univ.“Study in the illumination system of ultra-compact LCOS projector,” (2004) pp. 55-56.

C. F. Bee, Large Screen Projection Technol. (Hi Fi Technology, 2006) pp. 55-61.

OPTEK Technology Inc.OVS3W_Series.pdf http://www.optekinc.com.

H. B. Chen, (2004)Optical design of high power LED source and its light guide Nat. Central Univ. pp. 35-39.

J. H. Holland, Adaptation in Natural and Artificial Systems (Univ. of Michigan Press, 1975).

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

Y.-T. Liu, Nat. Kaohsiung First Univ. Sci. and Technol.Applications of multi-objective optimization evolution algorithm to robust airline schedule recovery (2007).

H.-L. Tsai, Nat. Kaohsiung First Univ. Sci. and Technol.Elimination of primary achromatic aberration of optical lens design using hybrid Taguchi-genetic algorithm (2006).

J.-T. Tsai, Nat. Kaohsiung First Univ. Sci. and Technol.Hybrid Taguchi-genetic algorithm and its applications (2004) pp. 5-35.

C.-H. Lai, Nat. Kaohsiung First Univ. Sci. and Technol.Applications of intelligent Taguchi genetic algorithm to solve scheduling problems (2005) pp. 17-26.

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