Author Affiliations
College of Electrical and Electronic Engineering, Shandong University of Technology, Zibo, Shandong 255049, Chinashow less
Fig. 1. (a) ACF of 300 nm/500 nm bimodal particles; (b) PSID; (c) PSID of 300 nm/500 nm and 300 nm/800 nm bimodal particles in corresponding ACF
Fig. 2. (a) True ACF and first reconstructed ACF of 300 nm/500 nm bimodal particles; (b) difference of true ACF from reconstructed ACF for once, twice, three times and L times
Fig. 3. Basic procedure of information deviation-weighted method
Fig. 4. Inversion results of 375 nm unimodal narrow PSD. (a) δ=3×10-4; (b) δ=3×10-3
Fig. 5. Inversion results of 400 nm unimodal broad PSD. (a) δ=3×10-4; (b) δ=3×10-3
Fig. 6. Inversion results under noise levels of 3×10-4 and 3×10-3. (a) 400 nm/800 nm bimodal PSD; (b) 500 nm/800 nm bimodal PSD; (c) 500 nm/750 nm bimodal PSD
Fig. 7. Inversion results of 300 nm/502 nm standard polystyrene latex particles. (a) δ=3×10-4; (b) δ=3×10-3
Sample | PP/nm | RPP | RPH | d1 | σ1 | d2 | σ2 | a | b | δ | D |
---|
Unimodal | Narrow | 375 | - | - | - | - | 375 | 0.050 | - | 1.00 | 3×10-43×10-3 | 380379 | | | | | | | | | | | | Broad | 400 | - | - | - | - | 400 | 0.130 | - | 1.00 | 3×10-43×10-3 | | 434436 | Bimodal | 400/800 | 2∶1 | - | 400 | 0.090 | 800 | 0.060 | 0.35 | 0.65 | 3×10-43×10-3 | 780777 | | | | | | | | | | | 500/800 | 1.6∶1 | - | 500 | 0.080 | 800 | 0.050 | 0.40 | 0.60 | 3×10-43×10-3 | 758757 | 500/750 | 1.5∶1 | - | 500 | 0.080 | 750 | 0.050 | 0.40 | 0.60 | 3×10-43×10-3 | 712711 |
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Table 1. Parameters and properties of PSD
Condition | PP/nm | EPP | RPH | V |
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| true | 375 | 0 | - | 0 | | m0 | 361 | 0.037 | - | 0.263 | δ=3×10-4 | m1 | 361 | 0.037 | - | 0.268 | | m2 | 360 | 0.040 | - | 0.259 | | mL | 363 | 0.032 | - | 0.253 | | m0 | 361 | 0.037 | - | 0.262 | δ=3×10-3 | m1 | 353 | 0.059 | - | 0.269 | | m2 | 361 | 0.037 | - | 0.258 | | mL | 369 | 0.016 | - | 0.246 |
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Table 2. Performance indexes for inversion of 375 nm unimodal narrow PSD (L=10)
Condition | PP/nm | EPP | RPH | V |
---|
| true | 400 | 0 | - | 0 | | m0 | 369 | 0.078 | - | 0.059 | δ=3×10-4 | m1 | 369 | 0.078 | - | 0.068 | | m2 | 377 | 0.058 | - | 0.055 | | mL | 393 | 0.018 | - | 0.042 | | m0 | 377 | 0.058 | - | 0.056 | δ=3×10-3 | m1 | 361 | 0.098 | - | 0.062 | | m2 | 385 | 0.038 | - | 0.038 | | mL | 401 | 0.003 | - | 0.031 |
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Table 3. Performance indexes for inversion of 400 nm bimodal broad PSD (L=12)
Condition | PP/nm | EPP | RPH | V |
---|
| true | 400/800 | 0/0 | 0.716∶1 | 0 | | m0 | 390/690 | 0.025/0.138 | 0.619∶1 | 0.133 | δ=3×10-4 | m1 | 440/830 | 0.100/0.038 | 0.188∶1 | 0.108 | | m2 | 430/830 | 0.075/0.038 | 0.255∶1 | 0.100 | | mL | 440/800 | 0.100/0 | 0.425∶1 | 0.063 | | m0 | 440/710 | 0.100/0.113 | 0.197∶1 | 0.148 | δ=3×10-3 | m1 | 440/830 | 0.100/0.038 | 0.219∶1 | 0.104 | | m2 | 430/830 | 0.075/0..038 | 0.258∶1 | 0.100 | | mL | 441/790 | 0.103 /0.013 | 0.513∶1 | 0.062 |
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Table 4. Performance indexes for inversion of 400 nm/800 nm bimodal PSD (L=17)
Condition | PP/nm | EPP | RPH | V |
---|
| true | 500/800 | 0/0 | 0.673∶1 | 0 | | m0 | 425/731 | 0.150/0.086 | 0.214∶1 | 0.143 | δ=3×10-4 | m1 | 443/839 | 0.114/0.049 | 0.161∶1 | 0.122 | | m2 | 425/830 | 0.150/0.038 | 0.298∶1 | 0.113 | | mL | 470/803 | 0.060/0.004 | 0.415∶1 | 0.068 | | m0 | -/740 | -/0.075 | - | 0.146 | δ=3×10-3 | m1 | 434/830 | 0. 132/0.038 | 0.239∶1 | 0.115 | | m2 | 434/830 | 0.132/0.038 | 0.291∶1 | 0.112 | | mL | 461/803 | 0.078/0.004 | 0.407∶1 | 0.069 |
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Table 5. Performance indexes for inversion of 500 nm/800 nm bimodal PSD (L=16)
Condition | PP/nm | EPP | RPH | V |
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| true | 500/750 | 0/0 | 0.625∶1 | 0 | | m0 | 425/713 | 0.150/0.049 | 0.232∶1 | 0.127 | δ=3×10-4 | m1 | 434/830 | 0.132/0.107 | 0.235∶1 | 0.125 | | m2 | 425/803 | 0.150/0.071 | 0.752∶1 | 0.120 | | mL | 443/767 | 0.114/0.023 | 0.506∶1 | 0.093 | | m0 | 443/704 | 0.114/0.131 | 0.173∶1 | 0.127 | δ=3×10-3 | m1 | 425/821 | 0.150/0.095 | 0.338∶1 | 0.118 | | m2 | 425/794 | 0.150/0.059 | 0.710∶1 | 0.102 | | mL | 479/767 | 0.042/0.023 | 0.567∶1 | 0.052 |
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Table 6. Performance indexes for inversion of 500 nm/750 nm bimodal PSD (L=15)
Condition | PP/nm | EPP | RPH |
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| true | 300/502 | 0/0 | 5∶1 | | m0 | 350/- | 0.167/- | - | δ=3×1 | m1 | 310/520 | 0.033/0.036 | 2.271∶1 | | m2 | 360/650 | 0.200/0.295 | 4.938∶1 | | mL | 300/520 | 0.000/0.036 | 4.048∶1 | | m0 | 380/- | 0.267/- | - | δ=3×10-3 | m1 | 310/520 | 0.033/0.036 | 2.271∶1 | | m2 | 359/650 | 0.197/0.295 | 4.360∶1 | | mL | 300/521 | 0.000 /0.038 | 4.107∶1 |
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Table 7. Performance indexes for inversion of 300 nm/502 nm standard polystyrene latex particles