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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 17 — Jun. 10, 2006
  • pp: 3940–3950

Birefringent filter design by use of a modified genetic algorithm

Mengtao Wen and Jianping Yao  »View Author Affiliations

Applied Optics, Vol. 45, Issue 17, pp. 3940-3950 (2006)

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A modified genetic algorithm is proposed for the optimization of fiber birefringent filters. The orientation angles and the element lengths are determined by the genetic algorithm to minimize the sidelobe levels of the filters. Being different from the normal genetic algorithm, the algorithm proposed reduces the problem space of the birefringent filter design to achieve faster speed and better performance. The design of 4-, 8-, and 14-section birefringent filters with an improved sidelobe suppression ratio is realized. A 4-section birefringent filter designed with the algorithm is experimentally realized.

© 2006 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(230.0230) Optical devices : Optical devices

Original Manuscript: July 6, 2005
Revised Manuscript: December 22, 2005
Manuscript Accepted: December 30, 2005

Mengtao Wen and Jianping Yao, "Birefringent filter design by use of a modified genetic algorithm," Appl. Opt. 45, 3940-3950 (2006)

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  1. J. W. Evans, "The birefringent filter," J. Opt. Soc. Am. 39, 229-242 (1949). [CrossRef]
  2. J. W. Evans, "Solc birefringent filter," J. Opt. Soc. Am. 48, 142-146 (1958). [CrossRef]
  3. R. H. Chu and G. Town, "Birefringent filter synthesis by use of a digital filter design algorithm," Appl. Opt. 41, 3412-3418 (2002). [CrossRef] [PubMed]
  4. F. K. von Willisen, "A tunable birefringent filter," Appl. Opt. 5, 97-104 (1966). [CrossRef] [PubMed]
  5. S. E. Harris, E. O. Ammann, and I. C. Chang, "Optical network synthesis using birefringent crystals. I. Synthesis of lossless networks of equal-length crystals," J. Opt. Soc. Am. 54, 1267-1279 (1964). [CrossRef]
  6. Z. Zalevsky, D. Mendlovic, and E. Marom, "Tunable birefringent filters--optimal iterative design," Opt. Express 10, 1534-1541 (2002). [PubMed]
  7. A. J. Kemp, G. J. Friel, T. K. Lake, R. S. Conroy, and B. D. Sinclair, "Polarization effects, birefringent filtering, and single-frequency operation in lasers containing a birefringent gain crystal," IEEE J. Quantum Electron. 35, 228-235 (2000). [CrossRef]
  8. B. M. Schiffman and L. Young, "Birefringent filter for millimeter waves," IEEE Trans. Microwave Theory Tech. 16, 351-360 (1968). [CrossRef]
  9. J. M. Becker, "High-resolution measurements of photosphere and sun-spot velocity and magnetic fields using a narrow-band birefringent filter," Sol. Phys. 3, 258-263 (1968). [CrossRef]
  10. J. M. Beckers, L. Dickson, and R. S. Joyce, "Observing the sun with a fully tunable Lyot-Ohman filter," Appl. Opt. 14, 2061-2066 (1975). [CrossRef] [PubMed]
  11. D. Bonaccini and F. Stauffer, "High resolution solar bidimensional spectroscopy with a universal birefringent filter in tandem with a Fabry-Perot interferometer--Tests and experimental results," Astron. Astrophys. 229, 272-278 (1990).
  12. T. Kimura, M. Saruwatari, and K. Otsuka, "Birefringent branching filters for wideband optical FDM communications," Appl. Opt. 12, 373-379 (1973). [CrossRef] [PubMed]
  13. Y. Fujii and J. Minowa, "Four-channel wavelength multiplexing composed of phase plates and polarizing beam splitters," Appl. Opt. 28, 1305-1308 (1989). [CrossRef] [PubMed]
  14. A. Carballar, M. A. Muriel, and J. Azafi, "Fiber grating filter for WDM systems: an improved design," IEEE Photon. Technol. Lett. 11, 694-696 (1999). [CrossRef]
  15. P. Yeh, W. Gunning, R. Hall, and J. Tracy, "Dispersive birefringent filters for laser communications," IEEE J. Quantum Electron. 17, 2424 (1981). [CrossRef]
  16. L. J. November and F. Stauffer, "Derivation of the universal wavelength tuning formula for a Lyot birefringent filter," Appl. Opt. 23, 2333-2341 (1984). [CrossRef] [PubMed]
  17. Y. Zhou, L. R. Liu, J. Zhang, D. Liu, and Z. Luan, "Nearly-off-axis transmissivity of Solc birefringent filters," J. Opt. Soc. Am. A 20, 733-740 (2003). [CrossRef]
  18. A. Lien, "A detailed derivation of extended Jones matrix representation for twisted nematic liquid crystal displays," Liq. Cryst. 22, 171-175 (1997). [CrossRef]
  19. S. Y. Lu and R. A. Chipman, "Homogeneous and inhomogeneous Jones matrices," J. Opt. Soc. Am. A 11, 766-774 (1994). [CrossRef]
  20. Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs, 2nd ed. (Springer-Verlag, 1994).
  21. A. E. Eiben, R. Hinterding, and Z. Michalewicz, "Parameter control in evolutionary algorithms," IEEE Trans. Evol. Comput. 3, 124-141 (1999). [CrossRef]
  22. J. A. Vasconcelos, J. A. Ramirez, R. H. C. Takahashi, and R. R. Saldanha, "Improvements in genetic algorithms," IEEE Trans. Magn. 37, 3414-3417 (2001). [CrossRef]
  23. R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms (Wiley, 1998).
  24. J. R. Perez and J. Basterrechea, "Near to far-field transformation using GA based optimization: real versus binary encoding schemes," in Antennas and Propagation Society International Symposium (IEEE, 2004), pp. 1122-1125.
  25. S. Rochet, M. Slimane, and G. Venturini, "Epistasis for real encoding in genetic algorithms," in Proceedings of the Australian and New Zealand Conference on Intelligent Information Systems (IEEE, 1996), pp. 268-271.
  26. V. S. Gordon and T. J. Slocum, "The knight's tour--Evolutionary vs. depth-first search," in Congress on Evolutionary Computation (IEEE, 2004), pp. 1435-1440. [CrossRef]
  27. K. Sastry and D. E. Goldberg, "Modeling tournament selection with replacement using apparent added noise," in Intelligent Engineering Systems through Artificial Neural Networks (American Society of Mechanical Engineering, 2001), pp.129-134.
  28. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by simulated annealing," Science 220, 671-680 (1983). [CrossRef] [PubMed]
  29. S. Kirkpatrick, "Optimization by simulated annealing: quantitative studies," J. Stat. Phys. 34, 975-986 (1984). [CrossRef]
  30. D. Beasley, D. R. Bull, and R. R. Martin, "A sequential niche technique for multimodal function optimization," Evol. Comput. 1, 101-125 (1993). [CrossRef]
  31. H. Sakanashi and Y. Kakazu, "Co-evolving genetic algorithm with filtered evaluation function," in IEEE Symposium on Emerging Technologies and Factory Automation (IEEE, 1994), pp. 454-457.
  32. J. Xiong, F. Yu, and Y. He, "Direct design of a polarization interference filter by genetic algorithm," Opt. Eng. 43, 1200-1205 (2004). [CrossRef]

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