Vol. 81

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Optimal Design of Red, Blue, and Far-Red LEDs Array

By Yimin Zhou, Yiqing Xu, Zhiyue Ji, and Guoquan Zhou
Progress In Electromagnetics Research C, Vol. 81, 181-189, 2018


An LED array with 2N-1 lines and N rows is designed, which consists of red, blue, and far-red LEDs. The red and blue LEDs with N lines and N rows are uniformly and intervally arranged. The central distance between adjacent red and blue LEDs is d. The far-red LEDs are filled in-between every two lines of red and blue LEDs, which results in an array of far-red LEDs with N-1 lines and N rows. The central distance of adjacent far-red LEDs is also d. By using the imperfect Lambertian model, the irradiance distribution of the LED array with N being even and odd is derived in the reference plane, respectively. Also, solving equation of the optimal distance d is presented. Numerical results show that irradiance distributions of the three mixed-color, red, blue, and far-red lights of the LED array are uniform in the reference plane. Ratios of R/B and R/Fr are both relatively uniform in the reference plane. The ratio of R/B in the case of N being even is more uniform than that in the case of N being odd. However, the ratio of R/Fr is opposite.


Yimin Zhou, Yiqing Xu, Zhiyue Ji, and Guoquan Zhou, "Optimal Design of Red, Blue, and Far-Red LEDs Array," Progress In Electromagnetics Research C, Vol. 81, 181-189, 2018.


    1. Bula, R. J., R. C. Morrow, T. W. Tibbits, and D. J. Barta, "Light-emitting diodes as a radiation source for plants," Hort Sci., Vol. 26, 203-205, 1991.

    2. Chen, J.-Y., J.-Y. Yeh, L.-W. Chen, Y.-G. Li, and C.-C. Wang, "Design and modeling for enhancement of light extraction in light-emitting diodes with archimedean lattice photonic crystals," Progress In Electromagnetics Research B, Vol. 11, 265-279, 2009.

    3. Whang, A. J. W., Y. Y. Chen, and Y. T. Teng, "Designing uniform illumination systems by surface-tailored lens and configurations of LED arrays," J. Disp. Technol., Vol. 5, 94-103, 2009.

    4. Yang, H., J. W. M. Bergmans, T. C. W. Schenk, J. P. M. G. Linnartz, and R. Rietman, "Uniform illumination rendering using an array of LEDs: a signal processing perspective," IEEE T. Signal Proces., Vol. 57, 1044-1057, 2009.

    5. Tan, J., K. Yang, M. Xia, and Y. Yang, "Analysis of uniform illumination system with imperfect Lambertian LEDs," Opt. Appl., Vol. 41, 507-517, 2011.

    6. Su, Z., D. Xue, and Z. Ji, "Designing LED array for uniform illumination distribution by simulated annealing algorithm," Opt. Express, Vol. 20, 843-855, 2012.

    7. Moreno, I., M. Avendano-Alejo, and R. I. Tzonchev, "Designing light-emitting diode arrarys for uniform near-field irradiance," Appl. Opt., Vol. 45, 2265-2272, 2006.

    8. Zhou, G., J. Zhen, Y. Zhou, X. Chu, and Y. Ni, "Optimal design of LED assembled light source used in the production of greenhouse plant," J. Optoelectron. Laser, Vol. 19, 1319-1323, 2008.

    9. Heraut-Bron, V., C. Robin, C. Varlet-Grancher, D. Afif, and A. Guckert, "Light quality (red: far-red ratio): does it affect photosynthetic activity, net CO2 assimilation, and morphology of young white clover leaves?," Cana. J. Botany, Vol. 7, 1425-1431, 1999.

    10. Wood, D., Optoelectronic Semiconductor Devices, Prentice Hall, London, 1994.