@@ -76,14 +76,6 @@ The step also computes the equivalent conversion factor to units of
7676microJy/square-arcsecond (or microjanskys) and stores it in the header
7777keyword PHOTUJA2.
7878
79- MIRI Imaging
80- ^^^^^^^^^^^^
81- For MIRI imaging mode, the reference file can optionally contain a table of
82- coefficients that are used to apply time-dependent corrections to the scalar
83- conversion factor. If the time-dependent coefficients are present in the
84- reference file, the photom step will apply the correction based on the
85- observation date of the exposure being processed.
86-
8779NIRSpec Fixed Slit Primary Slit
8880^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
8981The primary slit in a NIRSpec fixed slit exposure receives special handling.
@@ -164,21 +156,73 @@ from countrate to surface brightness.
164156Variance arrays are multiplied by the square of the conversion factors.
165157
166158MIRI MRS data have a time-variable photometric response that is significant at
167- long wavelengths. A correction has been derived from observations of calibration standard stars.
168- The form of the correction uses an exponential function that asymptotically approaches a
169- constant value in each wavelength band. A plot of the count rate loss in each MRS
159+ long wavelengths. A correction has been derived from regular observations of internal
160+ calibration lamps augmented by repeated observations of spectrophotometric standard stars.
161+ The correction uses a power law function of time with coefficients optimized for each
162+ of the twelve spectral bands. A plot of the count rate loss in each MRS
170163band, as a function of time, is shown in Figure 1.
171164
172165.. figure :: Model_summary.png
173166 :scale: 50%
174167 :align: center
175168
176169Figure 1:
177- Time-dependent decrease in the observed MRS count rate as measured from internal flat-field exposures.
178- Solid points illustrate measurements at the central wavelength of each of the 12 MRS bands;
179- curves represent the best fit models used for correction in the pipeline.
170+ Time-dependent decrease in the observed MRS count rate as measured from internal
171+ calibration lamp exposures. Points illustrate measurements at the central wavelength
172+ of each of the 12 MRS bands; curves represent the best fit models used for correction
173+ in the pipeline. See
174+ `JDox <https://jwst-docs.stsci.edu/jwst-calibration-status/miri-calibration-status/miri-mrs-calibration-status >`__
175+ for an updated version of this figure.
180176
181177The MRS photom reference file contains a table of correction coefficients
182178for each band in which a correction has been determined. If the time-dependent
183179coefficients are present in the reference file for a given band, the photom step will
184180apply the correction to the exposure being processed.
181+
182+ Time-Dependent Corrections
183+ --------------------------
184+
185+ For any mode other than MIRI MRS (described above), the reference file can
186+ optionally contain tables of coefficients that are used to apply time-dependent
187+ corrections to the scalar conversion factor, based on the observation date of
188+ the exposure being processed. Each table present describes a different functional
189+ form for the time-dependent sensitivity loss: exponential, linear, or
190+ power law. If multiple tables are present, the corrections are multiplied together
191+ before being applied. If no tables are present, no time correction is applied.
192+ These coefficient tables also contain the descriptive exposure parameters present in
193+ the photometric data table (e.g. filter, pupil, grating), and the rows present
194+ must match the length and order of the photometric table.
195+
196+ The correction factor described in all cases is defined as the fractional amount
197+ of light recorded now divided by the light recorded on the zero-day MJD (t0).
198+ The scalar conversion factor is divided by the correction factor to account for
199+ the sensitivity loss.
200+
201+ For a linear correction, the correction factor (*corr *) is defined as:
202+
203+ .. math ::
204+ corr = 1 - lossperyear * (t-t0 ) / 365
205+
206+ where *lossperyear * (fractional loss of throughput per year, e.g., 0.1 is 10% in 1 year)
207+ and *t0 * (reference day in MJD) are stored as coefficients in the TIMECOEFF_LINEAR
208+ extension of the PHOTOM reference file.
209+
210+ For an exponential correction:
211+
212+ .. math ::
213+ corr = amplitude * exp(-(t-t0 )/tau) + const
214+
215+ where *amplitude *, *t0 * (reference day in MJD), *tau * (e-folding time constant), and
216+ *const * (long-term asymptote) are stored as coefficients in the TIMECOEFF_EXPONENTIAL
217+ extension.
218+
219+ For a power law correction:
220+
221+ .. math ::
222+ norm = (365 + tsoft)^{alpha} / year1 value
223+
224+ corr = (t - t0 + tsoft)^{alpha} / norm
225+
226+ where *year1value * (relative throughput one year after t0), *t0 * (reference day in MJD),
227+ *tsoft * (softening parameter for the initial decline), and *alpha * (loss coefficient)
228+ are stored as coefficients in the TIMECOEFF_POWERLAW extension.
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