A new method for temperature scale calculation of a radiation thermometer with four-point blackbody calibration data and knowledge of the shape of the spectral responsivity was developed. This method was applied to numerical models of narrow-band and wide-band infrared radiation thermometers and it was compared with conventional characteristic equations.
The developed characteristic equation has an array representing the shape of the spectral responsivity and four constants: the array
Sk, the gain coefficient
C3, the offset
D3, the center wavelength λ
0 and the wavelength step
d. The wavelength of
Sk is given as λ
0+
k·
d(
k=-
n, …, -1, 0, 1, …,
n).
Sk is obtained from relative data of the spectral responsivity or rough estimation on the shape of the spectral responsivity. Then the calculation of the four constants is made from four-point blackbody calibration data. When the offset can be measured, necessary blackbody calibration data are reduced to three points.
Spectral responsivity data of a germanium photodiode were used as the numerical model of a wide-band radiation thermometer. The product of the responsivity data and spectral transmittance data of a narrowband-pass filter of an actual radiation thermometer was used as the numerical model of a narrow-band radiation thermometer.
In the case of the wide-band model, the deviation of the calculated temperature scale from the model was less than ±1°C in the range from 140°C to 1500°C when the calibration points were 231.928°C, 660.323°C and 1084.62°C, and the used shape was a Gaussian distribution. The deviation was mostly less than 1/2 of the deviation of the best conventional equation in the interpolation range and it was 1/6 at 1800°C.
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