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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 21 — Oct. 8, 2012
  • pp: 23927–23943

Analysis of light emitting diode array lighting system based on human vision: normal and abnormal uniformity condition

Zong Qin, Chuangang Ji, Kai Wang, and Sheng Liu  »View Author Affiliations

Optics Express, Vol. 20, Issue 21, pp. 23927-23943 (2012)

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In this paper, condition for uniform lighting generated by light emitting diode (LED) array was systematically studied. To take human vision effect into consideration, contrast sensitivity function (CSF) was novelly adopted as critical criterion for uniform lighting instead of conventionally used Sparrow’s Criterion (SC). Through CSF method, design parameters including system thickness, LED pitch, LED’s spatial radiation distribution and viewing condition can be analytically combined. In a specific LED array lighting system (LALS) with foursquare LED arrangement, different types of LEDs (Lambertian and Batwing type) and given viewing condition, optimum system thicknesses and LED pitches were calculated and compared with those got through SC method. Results show that CSF method can achieve more appropriate optimum parameters than SC method. Additionally, an abnormal phenomenon that uniformity varies with structural parameters non-monotonically in LALS with non-Lambertian LEDs was found and analyzed. Based on the analysis, a design method of LALS that can bring about better practicability, lower cost and more attractive appearance was summarized.

© 2012 OSA

OCIS Codes
(150.2950) Machine vision : Illumination
(230.3670) Optical devices : Light-emitting diodes
(330.1800) Vision, color, and visual optics : Vision - contrast sensitivity
(330.5000) Vision, color, and visual optics : Vision - patterns and recognition

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: July 19, 2012
Revised Manuscript: September 9, 2012
Manuscript Accepted: September 21, 2012
Published: October 3, 2012

Zong Qin, Chuangang Ji, Kai Wang, and Sheng Liu, "Analysis of light emitting diode array lighting system based on human vision: normal and abnormal uniformity condition," Opt. Express 20, 23927-23943 (2012)

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  1. M. G. Craford, “LEDs for solid state lighting and other emerging applications: status, trends, and challenges,” Proc. SPIE5941, 594101 (2005). [CrossRef]
  2. I. Moreno, M. Avendaño-Alejo, and R. I. Tzonchev, “Designing light-emitting diode arrays for uniform near-field irradiance,” Appl. Opt.45(10), 2265–2272 (2006). [CrossRef] [PubMed]
  3. A. J. W. Whang, Y. Y. Chen, and Y. T. Teng, “Designing uniform illumination systems by surface-tailored lens and configurations of LED arrays,” J. Disp. Technol.5(3), 94–103 (2009). [CrossRef]
  4. Z. Qin, K. Wang, F. Chen, X. B. Luo, and S. Liu, “Analysis of condition for uniform lighting generated by array of light emitting diodes with large view angle,” Opt. Express18(16), 17460–17476 (2010). [CrossRef] [PubMed]
  5. K. Wang, D. Wu, Z. Qin, F. Chen, X. B. Luo, and S. Liu, “New reversing design method for LED uniform illumination,” Opt. Express19(S4Suppl 4), A830–A840 (2011). [CrossRef] [PubMed]
  6. H. Yang, J. W. M. Bergmans, T. C. W. Schenk, J.-P. M. G. Linnartz, and R. Rietman, “Uniform illuminance rendering using an array of LEDs: a signal processing perspective,” IEEE Trans. Signal Process.57(3), 1044–1057 (2009). [CrossRef]
  7. I. Moreno, “Image-like illumination with LED arrays: design,” Opt. Lett.37(5), 839–841 (2012). [CrossRef] [PubMed]
  8. I. Moreno, “Illumination uniformity assessment based on human vision,” Opt. Lett.35(23), 4030–4032 (2010). [CrossRef] [PubMed]
  9. C. M. Sparrow, “On spectroscopic resolving power,” Astrophys. J.44, 76–86 (1916). [CrossRef]
  10. C. F. Hall and E. L. Hall, “A nonlinear model for the spatial characteristics of the human visual system,” IEEE Trans. Syst. Man Cybern.7(3), 161–170 (1977). [CrossRef]
  11. O. H. Schade., “Optical and Photoelectric Analog of the Eye,” J. Opt. Soc. Am.46(9), 721–739 (1956). [CrossRef] [PubMed]
  12. A. Johnston, “Spatial scaling of central and peripheral contrast-sensitivity functions,” J. Opt. Soc. Am. A4(8), 1583–1593 (1987). [CrossRef] [PubMed]
  13. P. G. J. Barten, “The SQRI method: A new method for the evaluation of visible resolution on a display.” Proc. SID 28, 253–262 (1987).
  14. P. G. J. Barten, “Formula for the contrast sensitivity of the human eye,” Proc. SPIE5294, 231–238 (2003). [CrossRef]
  15. P. G. J. Barten, “Evaluation of subjective image quality with the square-root integral method,” J. Opt. Soc. Am. A7(10), 2024–2031 (1990). [CrossRef]
  16. F. W. Campbell and J. G. Robson, “Application of fourier analysis to the visibility of gratings,” J. Physiol.197(3), 551–566 (1968). [PubMed]
  17. J. J. Depalma and E. M. Lowry, “Sine-Wave Response of the Visual System. II. Sine-Wave and Square-Wave Contrast Sensitivity,” J. Opt. Soc. Am.52(3), 328–335 (1962). [CrossRef]
  18. A. M. Rohaly and C. Owsley, “Modeling the contrast-sensitivity functions of older adults,” J. Opt. Soc. Am. A10(7), 1591–1599 (1993). [CrossRef] [PubMed]
  19. I. Moreno and C.-C. Sun, “Modeling the radiation pattern of LEDs,” Opt. Express16(3), 1808–1819 (2008). [CrossRef] [PubMed]
  20. W. A. Hendricks and K. W. Robey, “The sampling distribution of the coefficient of variation,” Ann. Math. Stat.7(3), 129–132 (1936). [CrossRef]
  21. I. Moreno and L. M. Molinar, “Color uniformity of the light distribution from several cluster configurations of multicolor LEDs,” Proc. SPIE5941, 59411S (2005). [CrossRef]
  22. K. Wang, D. Wu, F. Chen, Z. Y. Liu, X. B. Luo, and S. Liu, “Angular color uniformity enhancement of white light-emitting diodes integrated with freeform lenses,” Opt. Lett.35(11), 1860–1862 (2010). [CrossRef] [PubMed]

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