Author Affiliations
Key Laboratory of Pulsed Power, Institute of Fluid Physics, CAEP, Mianyang 621900, Chinashow less
Fig. 1. Relative position sketch of beam pipe, beam position and resistive ring monitor (RRM)
Fig. 2. Sketch of beam position monitor calibration system
Fig. 3. Comparatison between set positions and calculated positions of different calibration in condition of n=1
Fig. 4. Comparison between set positions and calculated positions of different calibration in condition of n=4
Fig. 5. Characteristic plane and calibration results
Fig. 6. Measurment of resistive ring monitor in calibration system and signal processing result
Fig. 7. Position error distribution in x direction in different calibration position span and range
Fig. 8. Set position and measured position of different calibration method
| monitor parameter | normalization | calibration | average of absolute value of position error/mm | | n=1 | n=2 | n=3 | n=4 | | s1=1 | minus/sum | no calibration | 2.77 | 2.77 | 2.77 | 2.77 | | s2=1 | planar | 0.17 | 0.75 | 23.04 | 23.93 | | s3=1.05 | axis | 0.23 | 0.23 | 1.75 | 1.67 | | s4=0.9 | 45° line | 0.22 | 0.24 | 3.63 | 3.74 | | Δx0=0 | log ratio | no calibration | 2.85 | 2.85 | 2.85 | 2.85 | | Δy0=0 | planar | 0.06 | 0.06 | 7.56 | 7.56 | | θx=0 | axis | 0.08 | 0.08 | 0.61 | 0.61 | | θy=0 | 45° line | 0.07 | 0.07 | 1.20 | 1.20 | | s1=1 | minus/sum | no calibration | 3.00 | 3.00 | 3.00 | 3.00 | | s2=1 | planar | 0.19 | 2.44 | 26.92 | 28.27 | | s3=1 | axis | 0.25 | 0.50 | 2.15 | 1.75 | | s4=1 | 45° line | 0.27 | 0.37 | 3.67 | 2.92 | | Δx0=1 mm | log ratio | no calibration | 3.00 | 3.00 | 3.00 | 3.00 | | Δy0=−2 mm | planar | 0.06 | 0.82 | 8.90 | 9.45 | | θx=0 | axis | 0.09 | 0.17 | 0.76 | 0.75 | | θy=0 | 45° line | 0.09 | 0.11 | 1.17 | 1.18 | | s1=1 | minus/sum | no calibration | 0.57 | 0.57 | 0.57 | 0.57 | | s2=1 | planar | 0.18 | 1.66 | 5.30 | 5.40 | | s3=1.05 | axis | 0.39 | 0.40 | 1.04 | 1.03 | | s4=0.9 | 45° line | 0.55 | 0.56 | 2.04 | 1.97 | | Δx0=1 mm | log ratio | no calibration | 0.39 | 0.39 | 0.39 | 0.39 | | Δy0=−2 mm | planar | 0.06 | 0.84 | 1.82 | 1.94 | | θx=0.03 rad | axis | 0.37 | 0.37 | 0.49 | 0.49 | | θy=0.04 rad | 45° line | 0.50 | 0.50 | 0.55 | 0.55 |
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Table 1. Calculated results of different normalization, calibration and polynomial fit
| monitor parameter | average of absolute value of position error/mm | | no calibration | planar | axis | 45° line | | s1=1.05, s2=0.9, s3=0.8, s4=1.1; Δx0=0, Δy0=0; θx =0, θy =0 | 8.74 | 0.06 | 0.08 | 0.07 | | s1=s2=1, s3=1, s4=1；Δx0=-3 mm, Δy0=4 mm, θx =0,θy =0 | 4.00 | 0.05 | 0.06 | 0.06 | | s1=s2=1, s3=1, s4=1; Δx0=0, Δy0=0,θx =-0.04 rad, θy =0.05 rad | 0.21 | 0.03 | 0.21 | 0.24 | | s1=1.05, s2=0.9, s3=0.8, s4=1.1；Δx0=-3 mm, Δy0=4 mm, θx =-0.04 rad, θy =0.05 rad | 2.37 | 0.10 | 0.51 | 0.60 | | s1=s2=1, s3=1.05, s4=0.9；Δx0=1 mm, Δy0=-2 mm, θx =0.03 rad, θy =0.04 rad | 0.39 | 0.06 | 0.37 | 0.50 |
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Table 2. Calculated results of different monitor parameter and calibration in conditions of log ratio and n=1
| monitor parameters | average of absolute value of position error/mm | | s1=s2=1, s3=1.05, s4=0.9; Δx0=1 mm, Δy0=−2 mm; θx=0.03 rad, θy =0.04 rad | no calibration | planar | axis | 45° line | characteristic plane | | 1 mm/point | 2 mm/point | 3 mm/point | | 0.3905 | 0.0634 | 0.3701 | 0.4985 | 0.0649 | 0.0653 | 0.0659 |
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Table 3. Comparison between characteristic plane calibration and others
| span and range | normalization | klx(1) | klx (0) | kly(1) | kly(0) | xerror/mm | yerror/mm | | 0.5 mm/point−10 mm～10 mm | minus/sum | 83.38 | 0.15 | 94.62 | 1.63 | 0.0437 | 0.0479 | | log ratio | 20.66 | 0.17 | 23.35 | 1.62 | 0.0230 | 0.0284 | | 1 mm/point−10 mm～10 mm | minus/sum | 83.39 | 0.15 | 94.65 | 1.63 | 0.0437 | 0.0483 | | log ratio | 20.65 | 0.17 | 23.34 | 1.62 | 0.0232 | 0.0285 | | 3 mm/point−10 mm～10 mm | minus/sum | 83.24 | 0.16 | 94.64 | 1.63 | 0.0442 | 0.0487 | | log ratio | 20.64 | 0.17 | 23.34 | 1.62 | 0.0234 | 0.0284 | | 0.5 mm/point−8 mm～8 mm | minus/sum | 82.95 | 0.16 | 94.02 | 1.63 | 0.0451 | 0.0499 | | log ratio | 20.62 | 0.18 | 23.29 | 1.62 | 0.0244 | 0.0304 | | 0.5 mm/point−6 mm～6 mm | minus/sum | 82.41 | 0.17 | 93.63 | 1.63 | 0.0594 | 0.0587 | | log ratio | 20.55 | 0.18 | 23.27 | 1.63 | 0.0336 | 0.0333 |
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Table 4. Processing results of line calibration experiment in different position span and range
| span | range | kpx(0) | kpx(1) | kpx(2) | kpy(0) | kpy(1) | kpy(2) | xerror/mm | yerror/mm | | 1 mm/point | ±10 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0249 | 0.0218 | | 2 mm/point | ±10 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0251 | 0.0224 | | 3 mm/point | ±10 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0254 | 0.0218 | | 1 mm/point | ±10 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0253 | 0.0218 | | 1 mm/point | ±8 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0255 | 0.0228 | | 1 mm/point | ±6 mm | 0.08 | 21.47 | −1.22 | −0.24 | 1.21 | 22.12 | 0.0249 | 0.0218 |
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Table 5. Processing results of characteristic plane calibration experiment in different position span and range
| position range/mm | kpx(0) | kpx(1) | kpx(2) | kpy(0) | kpy(1) | kpy(2) | xerror/mm | yerror/mm | | ±10 | 0.24 | 21.51 | −1.19 | −0.27 | 1.21 | 21.91 | 0.0235 | 0.0222 | | ±8 | 0.25 | 21.50 | −1.19 | −0.27 | 1.22 | 21.92 | 0.0237 | 0.0223 | | ±6 | 0.25 | 21.55 | −1.16 | −0.27 | 1.20 | 21.91 | 0.0266 | 0.0225 | | ±4 | 0.26 | 21.66 | −1.15 | −0.27 | 1.20 | 21.81 | 0.0438 | 0.0302 |
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Table 6. Processing results of plane calibration experiment in different position range
| calibration | kx(0) | kx(1) | kx(2) | ky(0) | ky(1) | ky(2) | xerror/mm | yerror/mm | | 45° line | 0.23 | 20.44 | − | −0.32 | − | 23.33 | 0.3778 | 0.4463 | | −45° line | 0.24 | 22.84 | − | −0.25 | − | 20.87 | 0.4239 | 0.3751 | | axis | 0.24 | 21.56 | − | −0.29 | − | 21.91 | 0.2976 | 0.3086 | | characterictic plane | 0.25 | 21.50 | −1.21 | −0.27 | 1.21 | 21.92 | 0.0243 | 0.0224 | | plane | 0.24 | 21.51 | −1.19 | −0.27 | 1.21 | 21.91 | 0.0235 | 0.0222 |
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Table 7. Processing results of plane calibration experiment using different calibration method
