宽动态范围辐射测温系统的简化定标方法 
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Simplified Calibration Method for Radiation Temperature Measurement System with Wide Dynamic Range
国防科技大学脉冲功率激光技术国家重点实验室, 安徽 合肥 230037
图 & 表
图 1. 辐射来源示意图
Fig. 1. Schematic of radiation sources
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图 2. 简化定标方法流程图
Fig. 2. Flow chart of simplified calibration method
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图 3. 定标系统示意图
Fig. 3. Schematic of calibration system
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图 4. 实验图像和探测器光谱响应参数。(a)定标图像;(b)相对光谱响应
Fig. 4. Experimental image and spectral response parameters of detector. (a) Calibration image; (b) relative spectral response
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图 5. 实际定标值与理论计算值之间的误差。 (a)前置透过率为0.0740%的衰减片;(b)前置衰减率为0.8193%的衰减片
Fig. 5. Error between actual and theoretical calculation values. (a) Attenuator with transmittance of 0.0740%; (b) attenuator with transmittance of 0.8193%
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图 6. 不同透过率衰减片定标模型在不同积分时间下的反演温度和辐射亮度的相对误差。(a) 0.8 ms;(b) 1 ms;(c)辐射亮度(τf=0.0740%);(d)温度(τf=0.0740%);(e)辐射亮度(τf=0.8193%);(f)温度(τf=0. 0.8193%)
Fig. 6. Relative errors of inversion temperature and radiance of calibration models for different attenuators. (a) 0.8 ms; (b) 1 ms; (c) radiance (τf=0.0740%); (d) temperature (τf=0.0740%); (e) radiance(τf=0.8193%); (f) temperature (τf=0. 0.8193%)
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表 12 放置透过率为0.8193%的衰减片后,定标模型在0.2 ms积分时间下的反演结果及相对误差
Table1. 2 Inversion results and relative error of calibration model at integration time of 0.2 ms after placing attenuator with transmittance of 0.8193%
| Gray value | Relative error /%(gray value) | Inversion radiance L /(W·m-2·Sr-1) | Relative error of inversion radiance /% | Inversion temperature T /℃ | Relative error of inversion temperature /% |
|---|
| 923.28 | -1.41 | 259.22 | -2.21 | 302.11 | -0.70 | | 1288.62 | -3.25 | 426.72 | -4.49 | 355.61 | -1.60 | | 1773.38 | -4.50 | 649.10 | -5.76 | 408.52 | -2.13 | | 2385.87 | -4.38 | 919.45 | -5.30 | 459.34 | -2.07 | | 3130.61 | -4.49 | 1251.02 | -5.24 | 510.71 | -2.14 | | 4008.92 | -4.15 | 1634.27 | -4.71 | 561.19 | -2.03 | | 5019.64 | -3.89 | 2074.93 | -4.32 | 611.80 | -1.97 | | 6159.72 | -3.41 | 2563.92 | -3.72 | 661.76 | -1.81 | | 7424.77 | -3.02 | 3105.85 | -3.26 | 711.83 | -1.69 |
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表 10 放置透过率为0.0740%的衰减片后,定标模型在不同积分时间下的反演结果
Table1. 0 Inversion results of calibration model at different integration time after placing attenuator with transmittance of 0.0740%
| Gray value | L(0.8 ms) /(W·m-2·Sr-1) | T(0.8 ms) /℃ | L(1 ms) /(W·m-2·Sr-1) | T(1 ms) /℃ |
|---|
| 0.8 ms | 1 ms |
|---|
| 1499.72 | 1847.79 | 607.51 | 398.65 | 612.36 | 399.70 | | 1990.44 | 2461.21 | 1199.81 | 501.61 | 1204.73 | 502.32 | | 2673.44 | 3314.98 | 2008.67 | 602.16 | 2013.38 | 602.67 | | 3543.04 | 4402.00 | 3034.78 | 702.40 | 3038.53 | 702.73 | | 4585.58 | 5705.20 | 4238.37 | 800.69 | 4244.03 | 801.12 | | 5784.06 | 7203.34 | 5610.39 | 898.45 | 5614.45 | 898.72 |
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表 11 反演亮度及反演温度的相对误差
Table1. 1 Relative error of inversion radiance and inversion temperature
| Temperature /℃ | Lb /(W·m-2·Sr-1) | Relative error of inversion radiance /% | Relative error of inversion temperature /% | |
|---|
| 0.8 ms | 1.0 ms | 0.8 ms | 1.0 ms |
|---|
| 400 | 613.74 | 1.01 | 0.22 | 0.34 | 0.07 | | 500 | 1188.69 | -0.94 | -1.35 | -0.32 | -0.46 | | 600 | 1988.92 | -0.99 | -1.23 | -0.36 | -0.45 | | 700 | 3007.78 | -0.90 | -1.02 | -0.34 | -0.39 | | 800 | 4229.26 | -0.22 | -0.35 | -0.09 | -0.14 | | 900 | 5633.46 | 0.41 | 0.34 | 0.17 | 0.14 |
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表 1透过率为0.0278%的衰减片在不同积分时间下的灰度响应
Table1. Gray value responses of attenuator with transmittance of 0.0278% at different integration time
| Temperature /℃ | Lb /(W·m-2·Sr-1) | GN(0.8 ms) | GN(1 ms) |
|---|
| 300 | 253.61 | 1045.78 | 1281.57 | | 400 | 613.74 | 1169.13 | 1436.49 | | 500 | 1188.69 | 1359.49 | 1673.39 | | 600 | 1988.92 | 1621.32 | 2001.71 | | 700 | 3007.78 | 1949.87 | 2413.85 | | 800 | 4229.26 | 2335.99 | 2865.68 | | 900 | 5633.46 | 2781.38 | 3450.40 | | 1000 | 7199.81 | 3277.95 | 4072.91 |
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表 2透过率为0.0278%的衰减片在不同积分时间下的拟合模型
Table2. Fitting model of attenuator with transmission of 0.0278% at different integration time
| Temperature /℃ | Integration time /ms | Fitting equation | R-square |
|---|
| From 300 ℃ to 1000℃ with a gradient of 100 ℃ | 0.8 | GN=0.3207Lb+975.9 | 0.9999 | | 1.0 | GN=0.4001Lb+1193 | 0.9999 |
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表 3透过率为0.0740%的衰减片在0.8 ms和1 ms积分时间下定标模型的线性系数
Table3. Linear coefficients of calibration model for attenuator with transmittance of 0.0740% at integration time of 0.8 ms and 1.0 ms
| Integration time /ms | A1 | tint1 /ms | tint2 /ms | tint2/tint1 | τf2/τf1 | A2 | Average value |
|---|
| 0.8 | 0.3207 | 0.8 | 0.8 | 1.00 | 2.664 | 0.8543 | 0.8535 | | 0.4001 | 1.0 | 0.8 | 0.80 | 2.664 | 0.8527 | | | 1.0 | 0.3207 | 0.8 | 1.0 | 1.25 | 2.664 | 1.0679 | 1.0669 | | 0.4001 | 1.0 | 1.0 | 1.00 | 2.664 | 1.0659 | |
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表 4透过率为0.8193%的衰减片在0.2 ms定标时间下定标模型的线性系数
Table4. Linear coefficients of calibration model for attenuator with transmittance of 0.8193% at integration time of 0.2 ms
| Integration time /ms | A1 | tint1 /ms | tint2 /ms | tint2/tint1 | τf2/τf1 | A2 | Averagevalue |
|---|
| 0.2 | 0.3207 | 0.8 | 0.2 | 0.25 | 29.472 | 2.3629 | 2.3606 | | 0.4001 | 1.0 | 0.2 | 0.20 | 29.472 | 2.3583 | |
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表 5透过率为0.0740%的衰减片在不同积分时间下的定标模型
Table5. Fitting model of attenuator with transmittance of 0.074% at different integration time
| Integration time /ms | Fitting equation |
|---|
| 0.8 | GN=0.8535Lb+975.9 | | 1.0 | GN=1.0669Lb+1193 |
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表 6透过率为0.0740%的衰减片定标模型的理论测温极限
Table6. Theoretical temperature measurement limit of calibration model for attenuator with transmittance of 0.0740%
| Integration time /ms | Fitting equation | Saturated radiance /(W·m-2·Sr-1) | Saturated temperature /℃ |
|---|
| 0.8 | GN=0.8535Lb+975.9 | 10807.38 | 1203.42 | | 1.0 | GN=1.0669Lb+1193 | 8442.22 | 1073.45 |
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表 7透过率为0.8193%的衰减片定标模型的理论测温极限
Table7. Theoretical temperature measurement limit of calibration model for attenuator with transmittance of 0.8193%
| Integration time /ms | Fitting equation | Saturated radiance /(W·m-2·Sr-1) | Saturated temperature /℃ |
|---|
| 0.2 | GN=2.3606Lb+324.6 | 4183.43 | 796.51 |
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表 8透过率为0.0740%衰减片在不同积分时间下的灰度响应
Table8. Gray value responses of attenuator with transmittance of 0.0740% at different integration time
| Temperature /℃ | Lb /(W·m-2·Sr-1) | GN(0.8 ms) | GN(1 ms) |
|---|
| 400 | 613.74 | 1494.41 | 1846.33 | | 500 | 1188.69 | 1999.94 | 2478.33 | | 600 | 1988.92 | 2690.30 | 3041.07 | | 700 | 3007.78 | 3566.08 | 4434.81 | | 800 | 4229.26 | 4593.35 | 5720.96 | | 900 | 5633.46 | 5764.37 | 7183.06 |
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表 9透过率为0.8193%的衰减片在0.2 ms积分时间下的灰度响应
Table9. Gray value responses of attenuator with transmittance of 0.8193% at integration time of 0.2 ms
| Temperature /℃ | Lb /(W·m-2·Sr-1) | GN(0.2 ms) |
|---|
| 300 | 253.61 | 936.50 | | 350 | 408.38 | 1331.93 | | 400 | 613.74 | 1856.87 | | 450 | 873.20 | 2495.05 | | 500 | 1188.69 | 3277.75 | | 550 | 1560.76 | 4182.47 | | 600 | 1988.92 | 5222.68 | | 650 | 2471.88 | 6376.99 | | 700 | 3007.78 | 7656.27 |
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马冬晓, 汪家春, 陈宗胜, 王冰, 刘洋. 宽动态范围辐射测温系统的简化定标方法[J]. 光学学报, 2019, 39(6): 0612003. Dongxiao Ma, Jiachun Wang, Zongsheng Chen, Bing Wang, Yang Liu. Simplified Calibration Method for Radiation Temperature Measurement System with Wide Dynamic Range[J]. Acta Optica Sinica, 2019, 39(6): 0612003.
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