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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 8 — Apr. 22, 2013
  • pp: 9315–9323

Design of reflective color filters with high angular tolerance by particle swarm optimization method

Chenying Yang, Liang Hong, Weidong Shen, Yueguang Zhang, Xu Liu, and Hongyu Zhen  »View Author Affiliations


Optics Express, Vol. 21, Issue 8, pp. 9315-9323 (2013)
http://dx.doi.org/10.1364/OE.21.009315


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Abstract

We propose three color filters (red, green, blue) based on a two-dimensional (2D) grating, which maintain the same perceived specular colors for a broad range of incident angles with the average polarization. Particle swarm optimization (PSO) method is employed to design these filters for the first time to our knowledge. Two merit functions involving the reflectance curves and color difference in CIEDE2000 formula are respectively constructed to adjust the structural parameters during the optimization procedure. Three primary color filters located at 637nm, 530nm and 446nm with high saturation are obtained with the peak reflectance of 89%, 83%, 66%. The reflectance curves at different incident angles are coincident and the color difference is less than 8 for the incident angle up to 45°. The electric field distribution of the structure is finally studied to analyze the optical property.

© 2013 OSA

OCIS Codes
(050.6624) Diffraction and gratings : Subwavelength structures
(230.7408) Optical devices : Wavelength filtering devices

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 20, 2013
Revised Manuscript: March 25, 2013
Manuscript Accepted: April 1, 2013
Published: April 8, 2013

Citation
Chenying Yang, Liang Hong, Weidong Shen, Yueguang Zhang, Xu Liu, and Hongyu Zhen, "Design of reflective color filters with high angular tolerance by particle swarm optimization method," Opt. Express 21, 9315-9323 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-8-9315


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References

  1. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th Ed. (Cambridge University, 1999).
  2. H. A. Macleod, Thin Film Optical Filters. (Institute of Physics Pub, 2001).
  3. A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina, and S. A. Yanshin, “Design of multilayer coatings with specific angular dependencies of color properties,” in Conference on Optical Interference Coatings (Optical Society of America, 2007), paperWB2.
  4. S. S. Wang and R. Magnusson, “Design of waveguide-grating filters with symmetrical line shapes and low sidebands,” Opt. Lett.19(12), 919–921 (1994). [CrossRef] [PubMed]
  5. S. S. Wang and R. Magnusson, “Multilayer waveguide-grating filters,” Appl. Opt.34(14), 2414–2420 (1995). [CrossRef] [PubMed]
  6. S. Tibuleac and R. Magnusson, “Reflection and transmission guided-mode resonance filters,” J. Opt. Soc. Am. A14(7), 1617–1626 (1997). [CrossRef]
  7. Q. Chen and D. R. S. Cumming, “High transmission and low color cross-talk plasmonic color filters using triangular-lattice hole arrays in aluminum films,” Opt. Express18(13), 14056–14062 (2010). [CrossRef] [PubMed]
  8. G. Y. Si, E. S. P. Leong, A. J. Danner, and J. H. Teng, “Plasmonic coaxial fabry-pérot nanocavity color filter,” Proc. SPIE7757, 7757 (2010).
  9. Y. Kanamori, M. Shimono, and K. Hane, “Fabrication of transmission color filters using silicon subwavelength gratings on quartz substrates,” IEEE Photon. Technol. Lett.18(20), 2126–2128 (2006). [CrossRef]
  10. B. H. Cheong, O. N. Prudnikov, E. Cho, H. S. Kim, J. Yu, Y. S. Cho, H. Y. Choi, and S. T. Shin, “High angular tolerant color filter using subwavelength grating,” Appl. Phys. Lett.94(21), 213104 (2009). [CrossRef]
  11. E. D. Palik, Handbook of Optical Constants of Solids. (Academic, 1985).
  12. K. Yee, “Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media,” IEEE Trans. Antenn. Propag.14(3), 302–307 (1966). [CrossRef]
  13. A. Taflove, “Application of the finite-difference time-domain method to sinusoidal steady-state electromagnetic-penetration problems,” IEEE Trans. Electromagn. Compat. EMC22(3), 191–202 (1980). [CrossRef]
  14. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics. (CRC, 1993).
  15. T. Allen and C. H. Susan, Computational Electrodynamics: the Finite-Difference Time-Domain Method. (Artech House, 2005).
  16. Z. Luo, W. Shen, X. Liu, P. Gu, and C. Xia, “Design of dispersive multilayer with particle swarm optimization method,” Chin. Opt. Lett.8, 342–344 (2010).
  17. R. C. Eberhart, J. Kennedy, and Y. Shi, Swarm Intelligence. (Morgan Kaufmann, 2001).
  18. CIE, Improvement to Industrial Colour Difference Evaluation. (CIE, 2001).
  19. M. R. Luo, G. Cui, and B. Rigg, “The development of the CIE 2000 colour-difference formula: CIEDE2000,” Color Res. Appl.26(5), 340–350 (2001). [CrossRef]
  20. G. Sharma, W. Wu, and E. N. Dalal, “The CIEDE2000 color-difference formula: implementation notes, supplementary test data, and mathematical observations,” Color Res. Appl.30(1), 21–30 (2005). [CrossRef]
  21. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd Ed. (Princeton University, 2008).

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