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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 9 — Mar. 20, 2009
  • pp: 1741–1757

Optical design and multiobjective optimization of miniature zoom optics with liquid lens element

Jung-Hung Sun, Bo-Ren Hsueh, Yi-Chin Fang, John MacDonald, and Chao-Chang Hu  »View Author Affiliations

Applied Optics, Vol. 48, Issue 9, pp. 1741-1757 (2009)

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We propose an optical design for miniature 2.5 × zoom fold optics with liquid elements. First, we reduce the volumetric size of the system. Second, this newly developed design significantly reduces the number of moving groups for this 2.5 × miniature zoom optics (with only two moving groups compared with the four or five groups of the traditional zoom lens system), thanks to the assistance of liquid lens elements in particular. With regard to the extended optimization of this zoom optics, relative illuminance (RI) and the modulation transfer function (MTF) are considered because the more rays passing through the edge of the image, the lower will be the MTF, at high spatial frequencies in particular. Extended optimization employs the integration of the Taguchi method and the robust multiple criterion optimization (RMCO) approach. In this approach, a Pareto optimal robust design solution is set with the aid of a certain design of the experimental set, which uses analysis of variance results to quantify the relative dominance and significance of the design factors. It is concluded that the Taguchi method and RMCO approach is successful in optimizing the RI and MTF values of the fold 2.5 × zoom lens system and yields better and more balanced performance, which is very difficult for the traditional least damping square method to achieve.

© 2009 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(120.3620) Instrumentation, measurement, and metrology : Lens system design
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.1000) Optical design and fabrication : Aberration compensation

ToC Category:
Imaging Systems

Original Manuscript: November 10, 2008
Revised Manuscript: February 3, 2009
Manuscript Accepted: February 4, 2009
Published: March 16, 2009

Jung-Hung Sun, Bo-Ren Hsueh, Yi-Chin Fang, John MacDonald, and Chao-Chang Hu, "Optical design and multiobjective optimization of miniature zoom optics with liquid lens element," Appl. Opt. 48, 1741-1757 (2009)

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  1. T. Xiao and Z. Cen, “Optimization design of lens system,” Proc. SPIE 4927, 44-49 (2002). [CrossRef]
  2. C. P. Sung and R. R. Shannon, “Zoom lens design using lens modules,” Opt. Eng. 35, 1668-1676 (1996). [CrossRef]
  3. S. Kuiper, B. H. W. Hendriks, J. F. Suijver, I. Deladi, and I. Helwegen, “Zoom camera based on liquid lenses, MOEMS and miniaturized systems VI,” Proc. SPIE 6466, 64660F(2007). [CrossRef]
  4. C. M. Tsai and Y. C. Fang, “Miniature lens design and optimization with liquid lens element via genetic algorithm,” J. Opt. A 10, 075304 (2008). [CrossRef]
  5. S. Kuipera and B. H. W. Hendriks, “Variable-focus liquid lens for miniature cameras,” Appl. Phys. Lett. 85, 16 (2004).
  6. F. C. Wippermann, P. Schreiber, A. Bruer, and P. Craen, “Bifocal liquid lens zoom objective for mobile phone applications,” Proc. SPIE 6501, 650109 (2007). [CrossRef]
  7. F. C. Wippermann, P. Schreiber, A. Bruer, and B. Berge, “Mechanically assisted liquid lens zoom system for mobile phone cameras,” Proc. SPIE 6289, 62890T (2006). [CrossRef]
  8. Y. C. Fang, T. K. Liu, J. MacDonald, J. H. Chou, B. W. Wu, H. L. Tsai, and E. H. Chang, “Optimizing chromatic aberration calibration using a novel genetic algorithm,” J. Mod. Opt. 53, 1411-1427 (2006). [CrossRef]
  9. Y. C. Fang, C. M. Tsai, J. MacDonald, and Y. C. Pai, “Eliminating chromatic aberration in Gauss-type lens design using a novel genetic algorithm,” Appl. Opt. 46, 2401-2410 (2007). [CrossRef] [PubMed]
  10. Y. C. Fang and B. W. Wu, “Eliminating lateral color aberration of high-resolution digital projection lens using a novel genetic algorithms,” Opt. Eng. 46, P073003 (2007). [CrossRef]
  11. A. Alsaran, A. Çelik, and C. Çelik, “Determination of the optimum conditions for ion nitriding of AISI 5140 steel,” Surf. Coat. Technol. 160, 219-226 (2002). [CrossRef]
  12. L. J. Yang, “Plasma surface hardening of ASSAB 760 steel specimens with Taguchi optimization of the processing parameters.,” J. Mater. Process. Technol. 113, 521-526(2001). [CrossRef]
  13. E. A. Elsayed and A. Chen, “Optimal levels of process parameters for products with multiple characteristics,” Int. J. Prod. Res. 31, 1117-1132 (1993). [CrossRef]
  14. L. I. Tong, C. T. Su, and C. H. Wang, “The optimization of multi-response problems in Taguchi method,” Int. J. Qual. Reliab. Manage. 14, 367-80 (1997). [CrossRef]
  15. Model Arctic 320 liquid lens technical datasheet: optical and opto-mechanical data (Varioptic, SA, 2006).
  16. C. C. Hu, Y. C. Fang, H. W. Su, L. W. Teng, H. C. Lin, and Y. C. Lin, “Chromatic aberration elimination for 3× zoom lens design with liquid lens via genetic algorithm,” presented at The 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies, Chengdu, China, 8-12 July 2007.
  17. C. C. Hu, Y. C. Fang, C. M. Tsai, H. C. Lin, H. W. Su, and Y. C. Lin, “Optical design method for high zoom ratio lens with liquid lens and digital signal processing,” Proc. SPIE , 666766670R (2007). [CrossRef]
  18. J. Santamaria, P. Artal, and J. Bescos, “Determination of the pointspread function of the human eye using a hybrid optical-digital method,” J. Opt. Soc. Am. A 4, 1109-1114(1987). [CrossRef] [PubMed]
  19. C. S. Williams and O. A. Becklund, Introduction to the Optical Transfer Function (Wiley, 1989).
  20. A. Lorente, A. M. Pons, J. Malo, and J. M. Artigas, “Standard criterion for fluctuations of modulation transfer function in human eye: application to disposable contact lenses,” Ophthalmic Physiol. Opt. 17, 267-272 (1997). [CrossRef] [PubMed]
  21. A. Kunjur and S. Krishnamurty, “A robust multi-criteria optimization approach,” Mech. Mach. Theory 32, 797-810(1997). [CrossRef]
  22. A. Kunjur and S. Krishnamurty, “Multi-criteria based robust design approach,” http://www.ecs.umass.edu/mie/labs/mda/mechanism/papers/robust.html.
  23. W. H. Ho, B. T. Lin, and J. H. Chou, “Robust multi-criteria optimal design for chain block h beam and container post,” J. Taiwan Soc. Nav. Archit. Mar. Eng. 22, 53-61 (2003).

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