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WFC3 Data Handbook 2.1 May 2011
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WFC3 Data Handbook > Chapter 6: WFC3-IR Error Sources > 6.5 Detector Nonlinearity Issues

6.5
6.5.1
HgCdTe detectors, such as that in the WFC3-IR channel, are inherently non-linear in their response to incident photons.  Figure 6.6 shows the measured signal up the ramp for a single pixel during a flat-field ramp.  The black diamonds show that the measured signal is clearly non-linear as the signal increases.  The red line is a linear fit to reads at low signal levels, extended out to the end of the ramp.  The difference between these two lines (normalized by the measured signal values) represents the amount of non-linearity in the measured signal.  By measuring this difference for each pixel using a set of flat-field ramps, the non-linearity behavior of each pixel is characterized, and a correction produced. This correction takes the form of a 3rd order polynomial, as seen in the equation below, that relates the measured and idealized signal and is applied by calwf3 in the NLINCORR step of the processing.  Further details can be found in WFC3 ISR 2008-39.  The non-linearity correction in calwf3 as of September 2010 uses quadrant-averaged polynomials derived from ground testing data. This correction will soon be updated based on results from on-orbit data.  Preliminary results from the on-orbit data indicate that uncertainties in the non-linearity correction should be less than 1%.
Figure 6.6: Measured non-linear response of an IR pixel.
6.5.2
As described in Section 6.2, the first non-destructive readout after the detector reset provides the reference bias level for each pixel in a WFC3-IR science image. This image is referred to as the “zeroth readout” or “zeroth read”. Due to the timing patterns in use, this read is collected at a finite time after the detector reset. Because the IR channel has no shutter, when a bright source is present in the field, a non-negligible amount of charge may accumulate on the detector between the time of the detector reset and the zeroth read. This implies that after the subtraction of the zeroth read from all subsequent reads in a ramp, the pixels at the location of the bright source will be under-reporting the amount of signal they were subjected to during the ramp. While this has no effect on the calwf3 calculation of the signal rate, it can lead to errors in the non-linearity correction step, since this correction is based on the measured amount of non-linearity versus the absolute signal level.
In order to correct for this situation, the ZSIGCORR step in calwf3 (very similar to that in the calnica software for NICMOS) computes an estimate of the number of counts for each pixel in the zeroth readout of a MULTIACCUM ramp, based on the count rate measured between the first two reads. This information is then used in the non-linearity correction (NLINCORR) step to estimate the absolute signal in each pixel and apply the appropriate linearity correction and saturation checks for that signal level.

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