New Darks & Flats for 1st pass processing

1. Summary

o Below we summarize new w3,w4 darks and w1-w4 flats to support first pass
  processing of survey data with version 3.5 of the WSDS. Comparisons to
  provisional flight darks and flats deployed on Jan 10, 2010 are also made. 

o Due to updated software and calibrations on ops as of ~Feb 4, flats
  and darks were made using scans observed from ~Feb 4 to Feb 24. 28117
  frames were used for w1,w2 and 3920 "cleanish" frames for w3,w4.
  By "cleanish", we mean relatively clean of long term latents, moon 
  artifacts, and at >3000 sec from anneals. 

o The flats (and darks made using a self-calibration method therefrom)
  used frames corrected for non-linearity (all bands) and "global" quadrant 
  droop (for w3,w4). The ground non-linearity calibration was used. The old 
  (provisional) flight flats were made using exclusively raw L0 frames. 

o The classic stacking method was used to make w1,w2 flats and the "slope"  
  or change-in-zodi method was used for w3,w4.
  
o The new flats for all bands differ by no more than ~1.5% at the pixel
  level from the old flats. The w3 flat contains a new "mottled" structure
  not seen in the earlier provisional flat (see figs below). To ensure this
  mottling is genuine (i.e., not due to the flat generation method), we
  recreated the w3 flat using the stacking method. We also fiddled with the
  outlier rejection parameters. The structure was still visible. We then split
  the input frame list into 4 lots of ~1000 frames, made subflats, and the
  mottling structure was present in each. It appears that the relative
  responsivity structure for w3 changed from late Jan/early Feb onwards.
  It is not known whether this was gradual or abrupt. More analysis is needed. 

o The mottled structure in the new w3 flat gives a residual of < 1.3% in the 
  pixel RMS when applied to early survey data (selected at <~ Jan 24). 
  This flat removes the mottled appeareance in later survey data and therefore
  is definitely needed. A plan is underway to create time-dependent flats at
  least for w3 (and possibly w4 if warranted) to support future reprocessing. 

o In a nutshell, the w3,w4 darks were derived from flight data by applying
  a delta-correction to the earlier provisional flight darks. First, the
  provisional flight darks used the following method. A simple detector
  observation model for pixel i was assumed:

  O_i ~ G_i*S_i + D_i, where
  G_i = the gain (= relative flat here),
  S_i = true sky,
  D_i = dark+bias.

  A proxy for the sky S_i is taken to be the median raw-frame (L0) signal
  over all array pixels minus some (unknown) absolute dark level DL, i.e.,  
  S_i ~ L0 - DL.  
  The observation model then becomes:  
  O_i ~ G_i*L0 + C_i, where
  C_i = D_i - (G_i*DL).
    
  The flat (slope) G_i and intercept C_i are estimated from fitting to L0 data
  that follows the change in zodiacal background. The dark signal per pixel
  is then: D_i ~ C_i + (G_i*DL). We assumed values of the absolute dark level DL
  from MIC2 testing. Regardless of the absolute level, what's important here
  is that we capture the dark variation, e.g., the banding structure.
  
  For the new darks, the change-in-zodi method was initially used for flats,
  but the input frames were first dark-subtracted (using the provisionals)
  and then linearized. So instead of fitting to L0 data, we fitted to
  linearized pixels L_i versus their median per frame L=< L_i >. The latter
  is a proxy for the change in overall sky signal S_i ~ L:
  
  L_i ~ G_i*L + deltaD_i;
  
  Given that the input data was dark subtracted, the intercept deltaD_i
  from this new fit is the correction needed for the old (provisional)
  dark to derive the new dark:
  
  D_i(new) ~ D_i(old) + deltaD_i;
  
  This method removed some of the ugly latent signatures in the old
  provisional dark (see figs below). This is because the input data
  for this second round of calibrations was cleaner.
  
  The new w3,w4 darks appear to contain more hot pixels. To check that these
  are genuine and not glitches introduced by the above procedure, a median
  stack image of all the corresponding L0 frames was made. Bad pixels should
  show up at the same location as in the darks. Indeed, there was an
  excellent correlation.

o The w3,w4 darks derived in this manner vastly reduce residuals when applied 
  to frames compared to frames calibrated using ground or the earlier 
  (provisional) flight darks. The new w3,w4 darks differ from the provisional
  set by ~10-16%. This may seem large, but it's all coupled to the new flats. 
  We should mention that there is a final delta-dark correction in the
  pipeline to capture and remove any residual bias structure. This is
  achieved through the dynamic sky-offset calibration. 

o FITS files of all calibration products are in:
  phoebe:/Users/fmasci/03.02.10_v3.5/

2. Flats

2.1. New W1-W4 flats (TOP); Old-provisional flight flats (BOTTOM)

2.2. W1-W4 flat ratios: "OLD/NEW"

W3 is at bottom left. The ~0.5% residual mottling is from the new flat.

2.3. W3 subflat ratios: "old/subflat new"

Each subflat used ~1000 frames each - extracted in observation time-order from the master list of ~4000 frames.

2.4. W3 new vs old flat (and dark) performance

High-zodi background frames were purposefully picked to exacerbate flat-fielding residuals. Below are some zoom-ins to illustrate the impact of the W3 mottling in the new flat.

LEFT: processed "w3 late frame(02134a)/old flat";

RIGHT: processed "same frame/new flat".

Figures below:

LEFT: processed "earlier w3 frames(from 00969a,00953a, 00926a)/old flat";

RIGHT: processed "same frames/new flat";

3. Darks

3.1. New W3,W4 darks (TOP); Old-provisional flight-derived darks (BOTTOM)

Note the higher incidence of hot pixels in the new W4 dark. These are consistent with the input frames.

3.2. LEFT: W3 "new - old" dark; RIGHT: W4: "new - old" dark

The latent artifacts in the W3 difference image are from the old dark (see fig above). These are at a different spatial frequency than the mottling seen in the new W3 flat.

4. Some W3 frame statistics using old and new calibrations

The following were computed for an early survey w3 frame processed using the old (provisional) dark and flat. See further below for stats computed off the same frame using new calibrations. A zoomed-in "mottled" region equivalent to that shown in the figure under Section 2.3 was used.


  FITS FILENAME = outputsW3_ical/00926a158-w3-int-1b.fits
  NUM PIX = 15872
  NUM PIX AFTER TRIMM = 15869
  TRIM THRESHOLD = 4.5
  MIN  = 2572.11059570312
  MAX  = 3820.29907226562
  MEAN = 2676.50756835938
  TRIMMED MEAN = 2676.42076397477
  MEDIAN = 2676.37109375
  MODE = 2679.93359375
  UNBIASED STDDEV = 29.6681213378906
  TRIMMED STDDEV = 28.1960008286655
  MAD FROM MEDIAN = 27.9263816447817
  MAD FROM MEDIAN OF LOWER TAIL = 27.7517343016158
  MEDIAN - 16%-tile = 27.8077148437501
  84%-tile - MEDIAN = 27.7557421874999
  [84%-tile - 16%-tile]/2 = 27.781728515625

The following were computed off the same frame and region but processed with the new dark and flat. The pixel RMS (using the TRIMMED STDDEV metric) increased by ~1.1%.

  FITS FILENAME = outputsW3_icalFeb26cals/00926a158-w3-int-1b.fits
  NUM PIX = 15872
  NUM PIX AFTER TRIMM = 15868
  TRIM THRESHOLD = 4.5
  MIN  = 2556.89624023438
  MAX  = 27376872325120
  MEAN = 3434736384
  TRIMMED MEAN = 2673.14835566335
  MEDIAN = 2673.23046875
  MODE = 2676.68994140625
  UNBIASED STDDEV = 305957535744
  TRIMMED STDDEV = 28.5017989674174
  MAD FROM MEDIAN = 28.5024464046751
  MAD FROM MEDIAN OF LOWER TAIL = 28.7701183430609
  MEDIAN - 16%-tile = 28.2336523437498
  84%-tile - MEDIAN = 28.0895507812502
  [84%-tile - 16%-tile]/2 = 28.1616015625




Last update - 3 March 2010
F. Masci, S. Wachter - IPAC/Caltech