Page 566 - Sensors and Control Systems in Manufacturing
P. 566

SpectRx NIR Technology
                                      Scene Spectral Radiance  Spectral Range of Interest  519

                                                              x
                                                  Nonlinear
                                                          Linear
                                                 x


                                               Spectral Power at Detector

                          FIGURE 10.20  Relative radiometric error due to intrinsic linearity errors.


                          careful design and the use of high-quality components. DG /dt is
                                                                              O
                          very difficult to estimate since it is influenced by a great number of
                          design parameters. The ultimate test is, of course, to actually meas-
                          ure the drift experimentally.
                             One way to estimate the radiometric accuracy budget assigned to
                          calibration drift is to examine the typical temporal drift of the Spec-
                          tRx 100, the FTIR spectrometer on which the design of the SpectRx
                          system is based. The relative drift of the system response is 2 percent
                                             3
                          over a 16-hour period.  These results have been obtained with a sys-
                          tem subjected to typical room-temperature fluctuations. However, it
                          is probably possible to recalibrate more often than every 16 hours
                          using a calibration source or other calibration references. For the
                          SpectRx system, we typically use 2 percent as the relative radiometric
                          accuracy due to drift, and assume that the corresponding time inter-
                          val between characterization and object view measurement is long
                          enough to allow measurement.


                          10.10.3 Intrinsic Linearity
                          The intrinsic linearity of the spectroradiometer pertains to errors other
                          than calibration source errors and calibration drift errors. Typical
                          nonlinearity is illustrated in Fig. 10.20. In this case, the measured
                          spectral radiance from the object view is accurate at the two calibra-
                          tion points and deviates from the true values when we move away
                          from these points. For this type of error, it is advantageous to choose
                          a calibration source temperature, so the spectral radiance of the cali-
                          bration measurements is included in the range of the spectral radiance
                          to be measured. The exact location depends on the actual nonlinear
                          response.


                          3 A good part of this drift is believed to be due to the variation of the internal
                          source.
   561   562   563   564   565   566   567   568   569   570   571