Laser & Optoelectronics Progress, Volume. 60, Issue 17, 1712005(2023)
Near-Field Detection Method for Light Intensity Based on Fourier Series Fitting
Figures & Tables(13)
Fig. 2. Comparison of interpolation methods. (a) Real curve and random points; (b) Pchip; (c) Linear; (d) Spline; (e) Polynomial; (f) Fourier
Fig. 3. Improvement of Fourier series fitting algorithm. (a) Traditional fitting algorithm; (b) variance of each point; (c) curve form; (d) improved Fourier series fitting algorithm
Fig. 5. Typical configurations of navigation lights. (a) Rectangular array; (b) circular array; (c) line-shaped array; (d) wing-shaped array; (e) X-shaped array
Fig. 7. Light intensity distributions of single LED light source. (a) True light intensity distribution; (b) light intensity distribution of first fitting
Fig. 8. Comparison of calculation results. (a) True light intensity distribution; (b) light intensity distribution of primal algorithm; (c) light intensity distribution of improved algorithm
Fig. 9. Detection results of five arrays. (a) True light intensity distribution; (b) Wea; (c) Bri; (d) In10; (e) In30; (f) Des
Table 1. Errors of different fitting methods
View tableTable 1. Errors of different fitting methods
Evaluation criterion Pchip Linear Spline Polynomial Fourier 15.4788 40.7641 15.9086 43.4398 3.8321
Table 2. Matched-degrees calculated by two algorithms
View tableTable 2. Matched-degrees calculated by two algorithms
Method Name Matched-degree /% Name Matched-degree /% Name Matched-degree /% Bf LED1 95.3634 LED2 95.5262 LED3 95.2363 Bf LED4 95.1808 LED5 95.2065 LED6 95.3287 Bf LED7 95.5226 LED8 95.5019 LED9 95.6118 Bf LED10 94.8458 LED11 94.9159 LED12 95.8700 Bf LED13 94.7419 LED14 95.4204 LED15 95.2305 Bf LED16 95.3509 — — — — Af LED1 95.6917 LED2 96.2803 LED3 95.7017 Af LED4 95.8231 LED5 96.3546 LED6 96.3257 Af LED7 96.2638 LED8 96.5252 LED9 96.4384 Af LED10 95.9027 LED11 96.2491 LED12 96.3910 Af LED13 96.0759 LED14 95.8049 LED15 95.6712 Af LED16 95.9833 — — — —
Table 3. Matched-degrees of five arrays
View tableTable 3. Matched-degrees of five arrays
State Matched-degree Rectangular array /% Circular array /% Line-shaped array /% Wing-shaped array /% X-shaped array /% Nor Maximum 96.5252 96.2789 96.1328 96.7050 96.0229 Nor Minimum 95.6711 94.8007 95.5327 95.0409 95.1517 Wea Fault light 95.6939 95.7793 95.0564 95.3946 94.8819 Wea Maximum 96.5022 96.3018 96.2403 96.7582 96.5447 Wea Minimum 95.6802 94.7949 95.0564 95.0640 94.2362 Bri Fault light 95.6524 95.7465 95.7465 95.7538 94.6311 Bri Maximum 96.4493 96.0177 96.0178 96.7538 96.4775 Bri Minimum 95.6499 95.1925 95.1925 95.0324 94.8414 In10 Fault light 94.8098 92.3575 93.3296 94.5359 92.5587 In10 Maximum 96.6487 95.7747 95.8416 96.6247 96.4892 In10 Minimum 94.8098 92.3575 93.3296 94.5359 92.5587 In30 Fault light 90.9318 90.3635 90.0581 90.0404 90.5622 In30 Maximum 95.6053 95.6890 95.7566 97.1462 95.8768 In30 Minimum 90.9318 90.3635 90.0581 90.0404 90.5622
Table 4. Matched-degrees of Des
View tableTable 4. Matched-degrees of Des
State Evaluation criterion Rectangular array Circular array Line-shaped array Wing-shaped array X-shaped array Des 1988.0009 2289.3994 2289.3994 596.3085 3904.1982 Des MAXF /lx 643.5443 1195.7284 1374.3856 398.6711 406.0723 Des AVGF /lx 92.9603 65.3995 66.6207 16.1390 19.6735 Des MAXN /lx 29366.4644 29324.8000 29222.8000 29718.7000 29680.2000 Des AVGN /lx 1001.9878 1103.3010 1109.4476 493.6655 653.3582
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Qizhen Hou, Hao Wang, Huiying Duan. Near-Field Detection Method for Light Intensity Based on Fourier Series Fitting[J]. Laser & Optoelectronics Progress, 2023, 60(17): 1712005
Paper Information
Category: Instrumentation, Measurement and Metrology
Received: Sep. 3, 2022
Accepted: Sep. 23, 2022
Published Online: Aug. 29, 2023
The Author Email: Hao Wang (2939492009@qq?.?com)
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