Vol. 81
Latest Volume
All Volumes
PIERC 150 [2024] PIERC 149 [2024] PIERC 148 [2024] PIERC 147 [2024] PIERC 146 [2024] PIERC 145 [2024] PIERC 144 [2024] PIERC 143 [2024] PIERC 142 [2024] PIERC 141 [2024] PIERC 140 [2024] PIERC 139 [2024] PIERC 138 [2023] PIERC 137 [2023] PIERC 136 [2023] PIERC 135 [2023] PIERC 134 [2023] PIERC 133 [2023] PIERC 132 [2023] PIERC 131 [2023] PIERC 130 [2023] PIERC 129 [2023] PIERC 128 [2023] PIERC 127 [2022] PIERC 126 [2022] PIERC 125 [2022] PIERC 124 [2022] PIERC 123 [2022] PIERC 122 [2022] PIERC 121 [2022] PIERC 120 [2022] PIERC 119 [2022] PIERC 118 [2022] PIERC 117 [2021] PIERC 116 [2021] PIERC 115 [2021] PIERC 114 [2021] PIERC 113 [2021] PIERC 112 [2021] PIERC 111 [2021] PIERC 110 [2021] PIERC 109 [2021] PIERC 108 [2021] PIERC 107 [2021] PIERC 106 [2020] PIERC 105 [2020] PIERC 104 [2020] PIERC 103 [2020] PIERC 102 [2020] PIERC 101 [2020] PIERC 100 [2020] PIERC 99 [2020] PIERC 98 [2020] PIERC 97 [2019] PIERC 96 [2019] PIERC 95 [2019] PIERC 94 [2019] PIERC 93 [2019] PIERC 92 [2019] PIERC 91 [2019] PIERC 90 [2019] PIERC 89 [2019] PIERC 88 [2018] PIERC 87 [2018] PIERC 86 [2018] PIERC 85 [2018] PIERC 84 [2018] PIERC 83 [2018] PIERC 82 [2018] PIERC 81 [2018] PIERC 80 [2018] PIERC 79 [2017] PIERC 78 [2017] PIERC 77 [2017] PIERC 76 [2017] PIERC 75 [2017] PIERC 74 [2017] PIERC 73 [2017] PIERC 72 [2017] PIERC 71 [2017] PIERC 70 [2016] PIERC 69 [2016] PIERC 68 [2016] PIERC 67 [2016] PIERC 66 [2016] PIERC 65 [2016] PIERC 64 [2016] PIERC 63 [2016] PIERC 62 [2016] PIERC 61 [2016] PIERC 60 [2015] PIERC 59 [2015] PIERC 58 [2015] PIERC 57 [2015] PIERC 56 [2015] PIERC 55 [2014] PIERC 54 [2014] PIERC 53 [2014] PIERC 52 [2014] PIERC 51 [2014] PIERC 50 [2014] PIERC 49 [2014] PIERC 48 [2014] PIERC 47 [2014] PIERC 46 [2014] PIERC 45 [2013] PIERC 44 [2013] PIERC 43 [2013] PIERC 42 [2013] PIERC 41 [2013] PIERC 40 [2013] PIERC 39 [2013] PIERC 38 [2013] PIERC 37 [2013] PIERC 36 [2013] PIERC 35 [2013] PIERC 34 [2013] PIERC 33 [2012] PIERC 32 [2012] PIERC 31 [2012] PIERC 30 [2012] PIERC 29 [2012] PIERC 28 [2012] PIERC 27 [2012] PIERC 26 [2012] PIERC 25 [2012] PIERC 24 [2011] PIERC 23 [2011] PIERC 22 [2011] PIERC 21 [2011] PIERC 20 [2011] PIERC 19 [2011] PIERC 18 [2011] PIERC 17 [2010] PIERC 16 [2010] PIERC 15 [2010] PIERC 14 [2010] PIERC 13 [2010] PIERC 12 [2010] PIERC 11 [2009] PIERC 10 [2009] PIERC 9 [2009] PIERC 8 [2009] PIERC 7 [2009] PIERC 6 [2009] PIERC 5 [2008] PIERC 4 [2008] PIERC 3 [2008] PIERC 2 [2008] PIERC 1 [2008]
2018-02-20
Optimal Design of Red, Blue, and Far-Red LEDs Array
By
Progress In Electromagnetics Research C, Vol. 81, 181-189, 2018
Abstract
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.
Citation
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.
doi:10.2528/PIERC17112005
References

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.
doi:10.2528/PIERB08112704

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.
doi:10.1109/JDT.2008.2001865

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.
doi:10.1109/TSP.2008.2009269

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.
doi:10.1364/OE.20.00A843

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.
doi:10.1364/AO.45.002265

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.
doi:10.1139/cjb-77-10-1425

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