• Acta Optica Sinica
  • Vol. 40, Issue 5, 0530002 (2020)
Lingling Guo*, Qichang Zhao, Yong Yang, Jun He, and Yang Zhang
Author Affiliations
  • Shanghai Institute of Satellite Engineering, Shanghai 201109, China
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    DOI: 10.3788/AOS202040.0530002 Cite this Article Set citation alerts
    Lingling Guo, Qichang Zhao, Yong Yang, Jun He, Yang Zhang. A Nonlinearity Correction Method for the Response Produced by the Infrared Detectors of the Fourier Transform Spectrometers[J]. Acta Optica Sinica, 2020, 40(5): 0530002 Copy Citation Text show less
    Diagrammatic sketch of an ideal spectrum
    Fig. 1. Diagrammatic sketch of an ideal spectrum
    Raw spectrum of a low-temperature blackbody observed by FTS
    Fig. 2. Raw spectrum of a low-temperature blackbody observed by FTS
    Measured spectra of the external blackbody at different temperatures observed by the FTS
    Fig. 3. Measured spectra of the external blackbody at different temperatures observed by the FTS
    Response relationship between uncalibrated spectra and blackbody radiances observed by FTS. (a) Lower range; (b) higher range
    Fig. 4. Response relationship between uncalibrated spectra and blackbody radiances observed by FTS. (a) Lower range; (b) higher range
    Relative coefficients calculation corresponding to measured spectra of the external blackbody observed by FTS at different temperatures. (a) 7 ℃; (b) 17 ℃; (c) 22 ℃; (d) 27 ℃; (e) 32 ℃; (f) 37 ℃; (g) 42℃; (h) 52 ℃
    Fig. 5. Relative coefficients calculation corresponding to measured spectra of the external blackbody observed by FTS at different temperatures. (a) 7 ℃; (b) 17 ℃; (c) 22 ℃; (d) 27 ℃; (e) 32 ℃; (f) 37 ℃; (g) 42℃; (h) 52 ℃
    Response relationship between uncalibrated spectra and blackbody radiances. (a) Before nonlinearity correction; (b) after nonlinearity correction
    Fig. 6. Response relationship between uncalibrated spectra and blackbody radiances. (a) Before nonlinearity correction; (b) after nonlinearity correction
    Comparison of original and corrected spectra
    Fig. 7. Comparison of original and corrected spectra
    Radiance bias of the 47 ℃ blackbody radiance based on linear radiometric calibration after nonlinearity correction. (a) Bias; (b) relative bias
    Fig. 8. Radiance bias of the 47 ℃ blackbody radiance based on linear radiometric calibration after nonlinearity correction. (a) Bias; (b) relative bias
    Radiance bias of the 27 ℃ blackbody based on linear radiometric calibration after nonlinearity correction. (a) Bias; (b) relative bias
    Fig. 9. Radiance bias of the 27 ℃ blackbody based on linear radiometric calibration after nonlinearity correction. (a) Bias; (b) relative bias
    Radiance bias of the -3 ℃ blackbody based on linear radiometric calibration. (a) Bias; (b) relative bias
    Fig. 10. Radiance bias of the -3 ℃ blackbody based on linear radiometric calibration. (a) Bias; (b) relative bias
    Temperature of external blackbody /℃R2k
    70.95200.002025
    170.97940.002081
    220.98450.002117
    270.98970.002183
    320.99300.002250
    370.99490.002325
    420.99650.002392
    520.99760.002560
    Table 1. Goodness of fit in the relative coefficients calculation
    Wavenumber /cm-1Before correctionAfter correction
    12690.9904930.999993
    13620.9911940.999997
    14550.9911030.999992
    15480.9917150.999996
    16410.9916640.999985
    17330.9914510.999965
    Table 2. Goodness of linear fit corresponding to the typical wavenumber channel shown in Fig. 6
    Lingling Guo, Qichang Zhao, Yong Yang, Jun He, Yang Zhang. A Nonlinearity Correction Method for the Response Produced by the Infrared Detectors of the Fourier Transform Spectrometers[J]. Acta Optica Sinica, 2020, 40(5): 0530002
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