V3.5 Low-Frequency Responsivity Maps
[Feb & Apr 2010 ops data]

Methodology and Summary

o The purpose of a Low-Frequency (LF) responsivity map is to quantify
  the relative spatial throughput variation over the focal plane from the
  entire optical train. This includes surface brightness variations
  induced by distortion, i.e., from the non-uniform convergence and
  divergence of light rays, optical aberrations, and residuals from
  improperly characterized PSFs over the focal plane.
  
o These products complement the High-Frequency (HF) pixel-to-pixel
  responsivity maps, which mostly emphasize detector pixel-to-pixel
  gain variations. Some LF component may also be present. The LF maps
  emphasize power at spatial frequencies characteristic of the WISE
  beam convolved with a grid whose size is determined by the number
  of available photometric measurements. The LF maps are derived
  from profile-fit photometry off level-1b frames which have been
  corrected for detector gain variations using the HF maps. Therefore,
  the LF maps may also capture residual detector-gain variations not
  removed by the HF maps.
  
o If the LF spatial variations are significant, i.e., enough to impact
  photometric sensitivity and repeatability requirements, the LF
  maps can be applied to level-1b products in the pipeline.

o Here's a brief outline of the method:
  1. query profile-fit photometry from L1b frameset mdex tables using a number
     of constraints (see summaries below for band-specific constraints);
  2. perform source matching across all scans and in-scan frame overlaps.
     All multiple apparitions of the same sources are grouped;
  3. for each group of multiple apparitions, compute the average flux
     of the group and normalize each apparition flux by this average.
     This ratio therefore becomes a "residual" relative to the average
     of all apparitions. Only groups where the number of multiple apparitions
     exceeds some minimum are considered. See below for these thresholds.
  4. bin the residuals over an N x N grid on the array and increment
     ancillary arrays to record their number per bin, accumulated sum,
     and RMS's for final average and uncertainty estimation.
  5. repeat steps 3-4 on all groups from the master match list in 2.
  6. compute the responsivity and metric from the final accumulator arrays.
     The relative responsivity per bin is the average of all residuals
     therein.
  7. optionally smooth the responsivity maps and ancillary products
     (using a low-pass Gaussian filter) to remove/reduce their 
     "blocky" appearance.
  
o Overall, the LF responsivity variation for W1 & W2 (the central 95% of
  the pixel distribution) is ~ ±1.5%, with an accuracy of <~0.05%
  (S/N > 2000). For W3 & W4, the LF responsivity variation is ~ ±3%
  with an accuracy of <~0.23% (S/N > 400).
  
o The LF residual maps are in general qualitative agreement with the 
  bright-star PSF variance maps on the Survey PSF Page, most notably at
  the corners and edges.

o The results below used data from ~440 scans processed with WSDS v3.5.1 
  (used for the preliminary release) within a radius of 14 degrees of the
  South Ecliptic Pole, and separately for two periods in the mission: 
  the first 20 days of February, and the first 25 days of April 2010. 
  There are no significant differences in the LF maps from these two
  periods.

W1 responsivities and metrics

The metrics below are for the Apr 2010 run since it used more data (25 days worth), compared to 20 days for the Feb 2010 run. JPEGs of the LF responsivity and uncertainty maps for all bands are shown further below.

Number of unique input sources read = 323539
Number of bins: 17 x 17
Minimum number of same-source apparitions across frame overlaps: 30
S/N >= 4
Chi-square <= 2.0
WPRO mag. range = 13.5 - 13.65
Active deblend flag = 0
Number of components in fit = 1
Match radius = 2.0 arcsec

Relative response per bin:

0.991934 0.985838 0.985234 0.987222 0.989648 0.986931 0.991692 0.991725 0.988636 0.994981 0.994018 0.999028 0.997470 0.998582 0.999964 0.998215 0.991332 
0.993617 0.990898 0.992778 0.993441 0.992777 0.994981 0.995432 0.993128 0.998193 0.994618 0.994993 1.001128 1.004615 1.000035 1.000630 0.998055 0.992198 
0.997332 0.993882 0.997325 0.991552 0.995045 0.997194 0.995376 1.000508 0.997913 0.996066 1.000728 1.000861 1.000196 0.998750 0.997908 0.999191 0.991685 
0.996598 1.001052 0.999891 0.997577 0.999025 0.998444 0.998042 1.001751 0.998606 0.999037 1.000931 1.001370 1.004444 1.003854 0.998068 0.997135 0.994019 
1.001596 0.997772 1.003312 1.004415 1.005410 1.006935 1.004230 1.004812 1.001662 1.003184 1.004917 1.004163 1.000901 1.000951 1.003212 0.997884 0.994937 
0.999626 0.998129 1.006796 1.004622 1.001438 1.005113 1.004531 1.003845 1.002140 1.002211 1.000459 1.000891 1.001814 0.999925 1.003311 0.991856 0.989360 
1.007868 1.005524 1.005800 1.005102 1.004652 1.005072 1.000843 1.002833 1.003461 1.002820 0.998605 1.000364 1.003942 0.998772 0.995543 0.994096 0.990294 
1.003605 1.002822 1.006964 1.006301 1.006587 1.005533 1.005608 1.005919 1.002205 1.005179 1.000769 1.003355 1.003767 1.000556 1.001030 0.994283 0.989747 
1.002007 1.007908 1.006065 1.008083 1.011800 1.007308 1.004561 1.010867 1.000812 1.005584 1.006400 1.003443 0.995953 1.000610 0.999083 0.989222 0.983696 
1.004773 1.002844 1.010861 1.007326 1.009035 1.003450 1.001340 1.008306 1.007631 1.005231 1.004077 1.004833 1.001958 1.002226 0.999498 0.998924 0.986018 
1.006824 1.006868 1.011229 1.010401 1.006375 1.005755 1.006290 1.007767 1.001296 1.000811 1.001378 1.003437 1.002740 0.998944 0.996438 0.996660 0.991363 
1.005713 1.001452 1.004539 1.007753 1.002563 1.007862 1.005835 1.004632 0.997710 1.001247 0.997504 1.003359 0.998319 0.997355 0.996779 0.993952 0.989729 
1.003724 1.004246 1.008928 1.006367 1.005691 0.999839 1.001628 0.999949 1.000183 0.998793 0.998563 0.998087 1.004576 1.002425 0.999725 1.000488 0.983885 
0.999894 1.002118 1.006281 1.004142 0.999033 1.003248 1.001493 1.003403 0.999360 0.994563 1.001012 1.002241 0.999140 0.994158 0.994543 0.994088 0.991101 
1.000260 0.998811 1.004731 1.005803 1.001226 1.002202 1.003257 1.000589 0.996216 0.995519 0.994348 1.000766 0.999362 0.996985 0.995854 0.997189 0.992674 
0.995348 1.005560 0.997314 0.997798 0.999485 0.994418 0.993043 0.998883 0.993857 0.998026 0.997526 0.998371 0.995088 0.992772 0.996239 0.994151 0.986594 
1.001920 1.003582 0.995125 0.991567 0.993539 0.995955 0.989075 0.990958 0.995528 0.994594 0.992500 0.989733 0.990258 0.993830 0.988877 0.988295 0.982833 

RMS in relative response per bin:

0.034792 0.030574 0.032284 0.033795 0.031410 0.030881 0.030661 0.031921 0.032669 0.032343 0.031390 0.035722 0.033291 0.033052 0.032352 0.033254 0.034025 
0.037079 0.030767 0.030175 0.031931 0.034334 0.031656 0.034445 0.031891 0.034284 0.033835 0.033641 0.033634 0.032306 0.032338 0.031669 0.033573 0.031561 
0.031569 0.032971 0.033309 0.030530 0.033067 0.032556 0.030019 0.030831 0.033152 0.033748 0.031599 0.033004 0.034216 0.033499 0.031284 0.032405 0.032938 
0.033359 0.031436 0.032288 0.031386 0.031800 0.032021 0.031741 0.031222 0.034689 0.031693 0.032697 0.031911 0.032689 0.032108 0.032957 0.031772 0.032713 
0.029837 0.031078 0.030909 0.029455 0.031478 0.029825 0.030815 0.032853 0.032148 0.032470 0.031667 0.030550 0.030446 0.032733 0.034886 0.036484 0.034405 
0.030684 0.033363 0.030291 0.027393 0.030891 0.031564 0.030932 0.031498 0.032222 0.031613 0.032915 0.034632 0.030964 0.031886 0.033839 0.034042 0.032589 
0.030066 0.029957 0.031283 0.031085 0.030601 0.031255 0.029628 0.030267 0.031390 0.032078 0.032668 0.033051 0.035158 0.032521 0.032833 0.035216 0.033837 
0.029786 0.031345 0.029530 0.030243 0.031349 0.030343 0.031701 0.030322 0.030587 0.034585 0.031825 0.034609 0.031219 0.033290 0.033288 0.033100 0.033909 
0.030942 0.031525 0.029257 0.026499 0.031125 0.029791 0.030177 0.030311 0.031262 0.030770 0.033923 0.033025 0.033405 0.033188 0.032337 0.033384 0.032750 
0.030440 0.031246 0.032121 0.029573 0.028666 0.032585 0.032431 0.030726 0.030567 0.030113 0.031255 0.032356 0.033854 0.034056 0.032566 0.033717 0.033896 
0.029839 0.031531 0.031472 0.033138 0.031227 0.029949 0.031348 0.032000 0.029763 0.034456 0.032909 0.031149 0.031170 0.032718 0.033363 0.033480 0.030485 
0.031552 0.032021 0.032175 0.028933 0.029918 0.031150 0.030833 0.031838 0.032883 0.030473 0.032768 0.031137 0.032955 0.030803 0.032155 0.035014 0.033735 
0.031587 0.031209 0.031619 0.030675 0.031067 0.030574 0.030707 0.033387 0.032319 0.030250 0.032967 0.031102 0.032303 0.031005 0.033792 0.032746 0.030859 
0.032407 0.031037 0.032398 0.030994 0.031618 0.030358 0.031606 0.032520 0.033246 0.032529 0.035510 0.032591 0.032154 0.033379 0.032013 0.030461 0.028804 
0.033518 0.031067 0.029841 0.030675 0.031806 0.032150 0.031753 0.033285 0.031799 0.031689 0.032552 0.032447 0.029600 0.032776 0.032836 0.032653 0.031910 
0.033506 0.031791 0.034718 0.032603 0.031357 0.031795 0.031859 0.031690 0.030362 0.034138 0.029708 0.031241 0.031476 0.030816 0.031477 0.033003 0.032557 
0.031626 0.038017 0.033837 0.034150 0.032380 0.034390 0.031581 0.032522 0.032250 0.031956 0.035297 0.030978 0.032592 0.032708 0.031029 0.030680 0.027682 

Number of relative response measurements per bin:

 2363  5411  6275  8306  8409 10376 13234 13878 13176 13462 13750 14578 12618 14564 11103 11258  8260 
 2815  5011 10030 10040 13223 14951 17173 18012 18003 15451 18157 17603 17782 17014 15629 12720  9862 
 3270  7096  8900 11666 14450 15908 15979 18598 18048 18486 17477 17628 20940 16873 17605 13941 10285 
 2756  7374  9455 11781 14726 16140 19433 19853 20046 21599 18803 19208 18205 21231 16261 14708 11018 
 3588  7727 10768 11872 13558 17415 17276 20179 19976 20778 20415 18965 19480 20001 17409 15079 13232 
 4036  7263 10540 14046 16003 17855 19439 18898 20775 22047 19644 21255 21010 18399 19320 17204 13314 
 4258  8027 10895 12764 14251 16037 18801 19925 20080 21135 19312 19129 19534 20452 19115 17406 12496 
 3956  7924 10892 14464 13806 19168 19043 20896 20838 20623 20403 19424 19932 20713 17856 15571 12962 
 3745  7498 12072 14459 14970 18992 18414 20559 21201 21987 19217 20241 18604 16866 19383 14640 11900 
 4110  8263 10648 14703 14854 20278 19901 20186 21559 21625 21149 16969 20559 17560 20516 14133 11366 
 3727  8456 11542 13653 16802 19826 18742 20129 20211 20387 17885 17008 17347 18184 17243 14716 11210 
 4138  8102 10988 14190 15187 19596 18524 19102 17236 19433 16761 18176 18648 17204 16640 14488  9480 
 4089  8634 10451 13728 13833 16820 18478 17746 20144 18267 16608 16801 16998 17513 15569 14728  8700 
 4073  7207 12522 14093 13913 17384 19901 17546 18175 18055 16268 15951 16102 13573 16693 13196  8505 
 4018  8815 11823 11985 14886 18304 16056 18546 16963 16975 16961 14749 15972 16241 13851 12482  7733 
 3973  8715 10279 13247 13312 18568 16347 15568 16672 15470 14880 15214 14815 15063 13811 12122  8635 
 3148  6431  8317 10375 11315 14512 10389 14493 12252 11170 12733 12999 11005 12185 10886 10982  6993 

1-sigma uncertainty [~RMS/sqrt(N)] in relative response per bin: 

0.000716 0.000416 0.000408 0.000371 0.000343 0.000303 0.000267 0.000271 0.000285 0.000279 0.000268 0.000296 0.000296 0.000274 0.000307 0.000313 0.000374 
0.000699 0.000435 0.000301 0.000319 0.000299 0.000259 0.000263 0.000238 0.000256 0.000272 0.000250 0.000254 0.000242 0.000248 0.000253 0.000298 0.000318 
0.000552 0.000391 0.000353 0.000283 0.000275 0.000258 0.000237 0.000226 0.000247 0.000248 0.000239 0.000249 0.000236 0.000258 0.000236 0.000274 0.000325 
0.000635 0.000366 0.000332 0.000289 0.000262 0.000252 0.000228 0.000222 0.000245 0.000216 0.000238 0.000230 0.000242 0.000220 0.000258 0.000262 0.000312 
0.000498 0.000354 0.000298 0.000270 0.000270 0.000226 0.000234 0.000231 0.000227 0.000225 0.000222 0.000222 0.000218 0.000231 0.000264 0.000297 0.000299 
0.000483 0.000391 0.000295 0.000231 0.000244 0.000236 0.000222 0.000229 0.000224 0.000213 0.000235 0.000238 0.000214 0.000235 0.000243 0.000260 0.000282 
0.000461 0.000334 0.000300 0.000275 0.000256 0.000247 0.000216 0.000214 0.000222 0.000221 0.000235 0.000239 0.000252 0.000227 0.000237 0.000267 0.000303 
0.000474 0.000352 0.000283 0.000251 0.000267 0.000219 0.000230 0.000210 0.000212 0.000241 0.000223 0.000248 0.000221 0.000231 0.000249 0.000265 0.000298 
0.000506 0.000364 0.000266 0.000220 0.000254 0.000216 0.000222 0.000211 0.000215 0.000208 0.000245 0.000232 0.000245 0.000256 0.000232 0.000276 0.000300 
0.000475 0.000344 0.000311 0.000244 0.000235 0.000229 0.000230 0.000216 0.000208 0.000205 0.000215 0.000248 0.000236 0.000257 0.000227 0.000284 0.000318 
0.000489 0.000343 0.000293 0.000284 0.000241 0.000213 0.000229 0.000226 0.000209 0.000241 0.000246 0.000239 0.000237 0.000243 0.000254 0.000276 0.000288 
0.000490 0.000356 0.000307 0.000243 0.000243 0.000223 0.000227 0.000230 0.000250 0.000219 0.000253 0.000231 0.000241 0.000235 0.000249 0.000291 0.000346 
0.000494 0.000336 0.000309 0.000262 0.000264 0.000236 0.000226 0.000251 0.000228 0.000224 0.000256 0.000240 0.000248 0.000234 0.000271 0.000270 0.000331 
0.000508 0.000366 0.000290 0.000261 0.000268 0.000230 0.000224 0.000246 0.000247 0.000242 0.000278 0.000258 0.000253 0.000287 0.000248 0.000265 0.000312 
0.000529 0.000331 0.000274 0.000280 0.000261 0.000238 0.000251 0.000244 0.000244 0.000243 0.000250 0.000267 0.000234 0.000257 0.000279 0.000292 0.000363 
0.000532 0.000341 0.000342 0.000283 0.000272 0.000233 0.000249 0.000254 0.000235 0.000274 0.000244 0.000253 0.000259 0.000251 0.000268 0.000300 0.000350 
0.000564 0.000474 0.000371 0.000335 0.000304 0.000285 0.000310 0.000270 0.000291 0.000302 0.000313 0.000272 0.000311 0.000296 0.000297 0.000293 0.000331 

W2 responsivities and metrics

The metrics below are for the Apr 2010 run since it used more data (25 days worth), compared to 20 days for the Feb 2010 run. JPEGs of the LF responsivity and uncertainty maps for all bands are shown further below.

Number of unique input sources read = 346180
Number of bins: 17 x 17
Minimum number of same-source apparitions across frame overlaps: 30
S/N >= 4
Chi-square <= 2.0
WPRO mag. range = 13.0 - 13.15
Active deblend flag = 0
Number of components in fit = 1
Match radius = 2.0 arcsec

Relative response per bin:

1.002356 1.001118 1.004985 1.008000 1.005097 1.003409 0.999834 1.000830 1.002653 1.001570 0.999189 0.999892 1.002045 1.001260 1.001465 1.001225 1.000057 
1.001270 1.000471 1.004805 1.000799 1.000264 1.002288 1.001209 1.001773 1.000123 1.003418 1.003893 1.003365 1.006335 1.004072 1.005319 1.002202 1.003301 
1.005450 1.003577 0.999015 1.000918 1.003416 0.999404 1.000412 1.002715 1.003443 1.003443 1.000824 1.000653 0.999737 1.000599 1.001288 0.996166 0.998121 
1.003753 1.001361 1.002006 0.998144 1.003654 1.001602 1.001469 1.000355 1.000966 1.004991 1.003007 0.996386 1.004894 1.006625 1.004664 1.003760 0.996167 
1.006999 1.002431 1.005816 1.001515 1.001549 1.000858 1.000370 1.001726 1.003187 1.002663 0.998219 1.001852 1.002499 1.002166 0.998739 1.002195 0.996324 
1.001453 1.003281 0.999045 1.000714 0.995612 0.999086 1.004741 1.002912 1.002198 1.003068 1.001581 1.000864 1.003550 1.002140 1.000603 0.999707 0.996945 
1.006525 1.003623 0.998507 1.002033 0.998988 0.999218 1.001442 1.002912 0.997259 1.001514 1.001553 1.002372 1.002561 0.999456 0.998191 1.000391 0.997950 
1.000954 1.004652 1.001270 0.999804 0.999702 1.002939 0.999131 1.000187 1.000880 1.001227 1.002608 0.997915 1.000589 0.994617 0.998555 1.001609 0.997628 
0.998233 0.998494 0.996542 1.000964 1.000837 1.000046 1.000146 0.997503 1.003677 1.000501 1.001591 0.997291 1.002267 0.996689 0.998862 0.996841 0.990262 
1.002854 1.003516 1.001744 1.003876 0.998962 1.001783 1.000146 1.004694 1.000049 1.002670 0.999164 0.998841 0.998393 0.994071 0.992974 0.997681 0.996457 
1.004916 0.999901 1.006662 1.005687 1.005231 1.001672 1.002875 1.000594 0.998402 0.999567 0.998185 0.996930 0.992235 0.995726 0.997197 0.992658 0.990960 
1.006765 1.000551 1.000545 1.004623 1.004666 1.002903 0.997485 0.996629 1.004045 0.996309 0.992716 0.995315 0.998663 0.998237 1.001111 0.997803 0.989940 
1.003678 1.006245 1.006384 1.000295 1.001533 1.005155 1.004551 0.998900 0.999886 0.994086 0.999164 0.995135 0.995731 0.988129 0.987855 0.990968 0.990605 
1.006802 1.006000 1.011951 1.009563 1.006602 1.001056 1.001595 0.998470 0.997185 0.999119 0.996585 0.997073 0.996615 1.000340 0.991302 0.995040 0.989646 
1.007839 1.008009 1.006905 1.003860 1.003333 1.004872 1.003866 0.998313 1.000196 0.998290 0.994033 0.996073 0.989750 0.994227 0.990068 0.995080 0.992490 
1.004501 1.005342 1.004973 0.999420 1.003446 1.000370 1.002778 1.003302 1.000934 0.999234 0.997134 0.998918 0.994710 0.996533 0.994848 0.994015 0.994109 
1.004525 1.009680 0.999290 1.003806 1.000050 0.997306 1.002358 0.999545 1.000848 1.001466 0.993001 0.995227 0.992239 0.993182 0.989104 0.992601 0.988668 

RMS in relative response per bin:

0.036113 0.035571 0.036107 0.035313 0.037573 0.034241 0.038020 0.037571 0.035994 0.034265 0.036053 0.036908 0.036653 0.036369 0.037224 0.034128 0.036094 
0.037062 0.035943 0.035972 0.036497 0.038682 0.038050 0.036588 0.038033 0.035223 0.038890 0.036506 0.034406 0.034957 0.036290 0.036461 0.036234 0.033760 
0.038197 0.035905 0.034475 0.034503 0.035090 0.033568 0.036223 0.036731 0.037085 0.035041 0.036622 0.035515 0.036053 0.035657 0.035639 0.036675 0.036238 
0.036083 0.036327 0.034161 0.035846 0.036863 0.035989 0.035104 0.037821 0.037653 0.036606 0.034781 0.036730 0.034936 0.032223 0.034300 0.035748 0.035610 
0.034752 0.035621 0.036881 0.034390 0.035516 0.034309 0.036518 0.034031 0.036483 0.038005 0.034774 0.035529 0.038932 0.037371 0.036024 0.037989 0.037559 
0.035978 0.035698 0.035124 0.036412 0.036139 0.037538 0.035149 0.035643 0.035838 0.037917 0.037497 0.037942 0.036278 0.035327 0.036002 0.036147 0.034210 
0.037077 0.037899 0.035408 0.036791 0.034376 0.036127 0.036054 0.037602 0.035510 0.035977 0.037591 0.037473 0.036659 0.037556 0.036898 0.037941 0.037397 
0.036048 0.034152 0.036385 0.036023 0.035219 0.038068 0.035658 0.038839 0.034984 0.036023 0.033637 0.035908 0.035652 0.035001 0.037578 0.038391 0.037391 
0.038535 0.038351 0.035289 0.036222 0.036165 0.036085 0.037283 0.037323 0.038810 0.037550 0.036037 0.035912 0.038628 0.035737 0.040185 0.038313 0.037248 
0.035561 0.036255 0.035771 0.033985 0.035447 0.037233 0.036868 0.035167 0.038123 0.035959 0.035952 0.037861 0.034751 0.036096 0.036659 0.038916 0.034891 
0.036405 0.038284 0.035877 0.034990 0.036153 0.037710 0.037026 0.036474 0.036047 0.037312 0.037986 0.039643 0.037630 0.035505 0.036443 0.035891 0.037222 
0.037301 0.037230 0.035527 0.035147 0.033981 0.034998 0.037485 0.037026 0.036650 0.036956 0.034295 0.035256 0.037277 0.036716 0.035848 0.036238 0.036043 
0.034689 0.037273 0.035523 0.036849 0.035893 0.035455 0.036192 0.038186 0.038615 0.037772 0.037398 0.036941 0.036949 0.036834 0.035516 0.037023 0.037468 
0.037834 0.036487 0.035793 0.035361 0.035754 0.035350 0.036546 0.035595 0.035107 0.035630 0.034900 0.035712 0.037996 0.035454 0.037606 0.038576 0.038992 
0.036418 0.033128 0.035718 0.035186 0.035479 0.037106 0.038287 0.037317 0.034883 0.038286 0.035607 0.035564 0.035351 0.038100 0.036865 0.036627 0.033945 
0.036980 0.034956 0.037553 0.037106 0.034847 0.035419 0.037030 0.037701 0.033854 0.036585 0.035962 0.036212 0.038753 0.036003 0.037327 0.035810 0.034509 
0.036332 0.034949 0.035151 0.035694 0.032370 0.037563 0.036266 0.035788 0.037231 0.035277 0.035497 0.036563 0.035237 0.036762 0.036076 0.038464 0.038180 

Number of relative response measurements per bin:

 2369  4055  5951  6718  8216  9061  8905 10535 11122  9788  9807  9972 10577  9461  9830  8604  6463 
 3251  4954  7201  8391  9824 11438 12354 12763 13034 14609 13498 13364 13197 12701 13058 11440  9095 
 3472  5068  7165  7947 12565 11394 13248 13550 14028 13721 13549 14409 13298 12473 13467 11341  9407 
 3190  5525  6502  8717  9854 12339 13210 14447 14365 12756 14223 14747 14036 13490 13217 11715 10109 
 3167  5416  8111  9025 10929 11351 12103 13922 14779 15377 14106 14766 13956 12458 13341 11767  9658 
 3565  5798  7400 10319 11852 11736 13830 13408 15684 14382 12305 13562 14198 14748 14466 12912  9799 
 3114  5952  8919  8632 12007 11669 12241 13047 14059 14576 14206 13381 14110 13918 13929 12556  9732 
 2808  5438  7440 10830 11483 11926 12627 13254 13665 15971 13764 14395 14292 12266 13991 13917 10011 
 2804  5421  7847  9283 10956 10881 14164 13932 12568 14253 13873 11881 13138 13538 13429 13235  9664 
 3127  5562  8753  9628 11856 12972 14662 14873 14252 13626 14099 14642 14904 13287 13364 12277  9131 
 2705  6063  7809  9052 11634 12274 13074 12842 14210 14808 13759 14842 12562 12424 12437 13508  8627 
 3197  5158  8031  9745 11001 11663 13619 14855 14340 14748 14143 12570 11336 12939 12126 12143  8392 
 3235  5408  7265  9378 11738 12600 14187 13986 14900 13398 14050 12427 12319 11755 12218 11887  7846 
 3641  5591  7306  9377 11527 12837 13618 13156 13360 14490 13789 12430 13756 14074 12444 11353  8742 
 4136  4504  7131  8518 13751 11252 12739 13948 13822 12926 12935 12584 10548 12670 10503  9614  6940 
 4053  5671  7628  9470 13456 12216 14262 14143 14973 13838 13189 13319 11224 12614 12418 11118  8809 
 3188  4189  6881  7579 10219 10180 11045 11184 10448 10222 11041  9773  9329  8951  8557  7730  6232 

1-sigma uncertainty [~RMS/sqrt(N)] in relative response per bin:

0.000742 0.000559 0.000468 0.000431 0.000415 0.000360 0.000403 0.000366 0.000341 0.000346 0.000364 0.000370 0.000356 0.000374 0.000375 0.000368 0.000449 
0.000650 0.000511 0.000424 0.000398 0.000390 0.000356 0.000329 0.000337 0.000309 0.000322 0.000314 0.000298 0.000304 0.000322 0.000319 0.000339 0.000354 
0.000648 0.000504 0.000407 0.000387 0.000313 0.000314 0.000315 0.000316 0.000313 0.000299 0.000315 0.000296 0.000313 0.000319 0.000307 0.000344 0.000374 
0.000639 0.000489 0.000424 0.000384 0.000371 0.000324 0.000305 0.000315 0.000314 0.000324 0.000292 0.000302 0.000295 0.000277 0.000298 0.000330 0.000354 
0.000618 0.000484 0.000410 0.000362 0.000340 0.000322 0.000332 0.000288 0.000300 0.000306 0.000293 0.000292 0.000330 0.000335 0.000312 0.000350 0.000382 
0.000603 0.000469 0.000408 0.000358 0.000332 0.000347 0.000299 0.000308 0.000286 0.000316 0.000338 0.000326 0.000304 0.000291 0.000299 0.000318 0.000346 
0.000664 0.000491 0.000375 0.000396 0.000314 0.000334 0.000326 0.000329 0.000299 0.000298 0.000315 0.000324 0.000309 0.000318 0.000313 0.000339 0.000379 
0.000680 0.000463 0.000422 0.000346 0.000329 0.000349 0.000317 0.000337 0.000299 0.000285 0.000287 0.000299 0.000298 0.000316 0.000318 0.000325 0.000374 
0.000728 0.000521 0.000398 0.000376 0.000346 0.000346 0.000313 0.000316 0.000346 0.000315 0.000306 0.000329 0.000337 0.000307 0.000347 0.000333 0.000379 
0.000636 0.000486 0.000382 0.000346 0.000326 0.000327 0.000304 0.000288 0.000319 0.000308 0.000303 0.000313 0.000285 0.000313 0.000317 0.000351 0.000365 
0.000700 0.000492 0.000406 0.000368 0.000335 0.000340 0.000324 0.000322 0.000302 0.000307 0.000324 0.000325 0.000336 0.000319 0.000327 0.000309 0.000401 
0.000660 0.000518 0.000396 0.000356 0.000324 0.000324 0.000321 0.000304 0.000306 0.000304 0.000288 0.000314 0.000350 0.000323 0.000326 0.000329 0.000393 
0.000610 0.000507 0.000417 0.000381 0.000331 0.000316 0.000304 0.000323 0.000316 0.000326 0.000316 0.000331 0.000333 0.000340 0.000321 0.000340 0.000423 
0.000627 0.000488 0.000419 0.000365 0.000333 0.000312 0.000313 0.000310 0.000304 0.000296 0.000297 0.000320 0.000324 0.000299 0.000337 0.000362 0.000417 
0.000566 0.000494 0.000423 0.000381 0.000303 0.000350 0.000339 0.000316 0.000297 0.000337 0.000313 0.000317 0.000344 0.000338 0.000360 0.000374 0.000407 
0.000581 0.000464 0.000430 0.000381 0.000300 0.000320 0.000310 0.000317 0.000277 0.000311 0.000313 0.000314 0.000366 0.000321 0.000335 0.000340 0.000368 
0.000643 0.000540 0.000424 0.000410 0.000320 0.000372 0.000345 0.000338 0.000364 0.000349 0.000338 0.000370 0.000365 0.000389 0.000390 0.000437 0.000484 

W3 responsivities and metrics

The metrics below are for the Apr 2010 run since it used more data (25 days worth), compared to 20 days for the Feb 2010 run. JPEGs of the LF responsivity and uncertainty maps for all bands are shown further below.

Number of unique input sources read = 343337
Number of bins: 17 x 17
Minimum number of same-source apparitions across frame overlaps: 30
S/N >= 4
Chi-square <= 2.0
WPRO mag. range = 10.1 - 12.2
Active deblend flag = 0
Number of components in fit = 1
Match radius = 2.0 arcsec

Relative response per bin:

0.989154 0.970163 0.978800 0.965057 0.983988 1.002555 0.985064 0.991857 1.017428 1.011118 1.012269 0.999763 0.998796 1.013879 0.987037 1.014693 0.979133 
1.001376 0.967803 0.984754 0.977040 0.989832 0.982990 1.020649 1.003494 0.998965 1.010867 0.997287 1.010331 1.008570 0.997053 0.992562 0.991626 0.987348 
0.999071 0.978422 0.997009 1.007457 0.989966 0.996911 1.016588 1.019856 1.000553 1.027324 1.015526 1.011229 0.993590 1.016250 1.002081 1.005642 0.973991 
1.000760 0.987654 1.002489 1.015675 0.998136 1.006724 1.002085 1.026156 1.027610 1.008748 1.017935 1.001373 1.005011 1.029123 0.995963 0.989147 0.972901 
0.979904 0.969343 0.999136 1.017785 1.010346 1.040197 0.998646 1.022755 1.027749 1.025480 1.024305 1.007628 0.992196 1.008582 1.001305 0.988544 0.985172 
0.976286 0.978234 1.010869 1.000246 1.006301 1.003369 1.012824 1.016666 1.017670 0.997095 1.028347 1.034953 1.019948 0.999914 1.020543 0.995568 0.982749 
0.988622 0.992636 0.997828 0.979591 1.021832 1.012550 0.998231 1.023370 1.024399 1.007819 1.007229 1.013593 1.026324 0.999692 1.012005 0.993855 0.983304 
1.013556 1.011334 0.988107 0.996391 0.999358 1.004122 1.025762 1.026373 1.017243 1.029372 1.000019 1.011546 1.018720 1.006029 1.005936 0.991505 0.971682 
0.981540 0.980262 1.015554 0.988659 0.969678 0.999484 1.018211 1.007789 1.024122 1.021100 1.012095 0.998128 1.012682 1.013981 0.981315 0.968497 0.978494 
0.999293 1.003590 0.996152 1.000442 1.004370 0.990231 0.993460 1.026839 1.012773 1.012895 1.007488 1.022001 1.012567 0.987706 0.995230 0.956354 0.967235 
0.996136 1.010576 0.996275 1.008706 0.987221 1.015968 1.039908 1.023009 1.014738 1.025585 1.011968 1.017129 1.015219 0.999140 0.999244 0.962803 0.973946 
0.993866 0.986699 1.000472 1.005869 0.984027 1.004841 0.995142 1.002305 1.022313 1.014943 0.986524 0.979143 0.996591 0.998496 0.990135 0.973475 0.951540 
1.003678 1.009117 0.987084 1.017590 0.991147 1.002519 0.992011 0.993091 1.005563 1.001129 0.968830 0.987566 0.984220 0.993293 0.984442 0.996921 0.971844 
0.996693 0.994637 1.006420 1.004209 1.003045 1.000534 0.995292 1.015195 0.985383 1.004180 0.998402 1.011150 0.988605 0.991359 1.006336 0.967603 0.953303 
1.018866 1.002894 0.997496 0.978315 1.004662 0.992573 1.006885 0.985754 0.992236 0.999383 1.002637 1.013010 0.989177 0.994139 0.989697 0.967594 0.953050 
0.990339 0.999238 0.972253 0.983327 1.013536 0.992219 0.999979 0.973613 1.001653 0.999529 0.981588 0.994354 0.976267 0.994542 0.986887 0.978845 0.973893 
0.996135 0.993302 0.985330 0.993720 1.009835 0.983953 1.001275 1.004272 0.996480 0.990684 1.002366 0.979253 0.997225 0.994590 0.991369 0.983096 0.976494 

RMS in relative response per bin:

0.147180 0.139558 0.139851 0.150846 0.125424 0.151380 0.121302 0.143965 0.137363 0.121816 0.138629 0.129835 0.141515 0.127714 0.127663 0.139554 0.152724 
0.131179 0.132923 0.129226 0.138508 0.138029 0.122789 0.142180 0.141361 0.139683 0.133255 0.140290 0.144046 0.145331 0.127935 0.139938 0.133772 0.149909 
0.142269 0.137298 0.140916 0.144790 0.138348 0.132097 0.147786 0.138661 0.132088 0.137141 0.136159 0.131936 0.120393 0.138489 0.136117 0.136844 0.135930 
0.130031 0.149465 0.133950 0.145583 0.137050 0.136879 0.139079 0.138024 0.132155 0.132290 0.139374 0.142151 0.137661 0.131334 0.128781 0.140666 0.127798 
0.145473 0.140318 0.139025 0.139817 0.137598 0.140864 0.140900 0.132773 0.132771 0.132189 0.133051 0.139433 0.132021 0.138957 0.138366 0.129215 0.131287 
0.141829 0.131665 0.134148 0.134261 0.130127 0.138031 0.146843 0.127284 0.137284 0.131964 0.128158 0.141111 0.137467 0.131281 0.130747 0.141781 0.127785 
0.136465 0.141933 0.148755 0.132589 0.136760 0.135218 0.129496 0.124963 0.137021 0.122065 0.128782 0.135377 0.132024 0.139771 0.126419 0.140959 0.139463 
0.145465 0.146477 0.137166 0.145106 0.144731 0.145503 0.128847 0.127417 0.136998 0.131266 0.118619 0.131392 0.135296 0.138817 0.133865 0.149820 0.137076 
0.133457 0.132204 0.146202 0.139714 0.133269 0.134873 0.140115 0.129082 0.149111 0.139686 0.133847 0.129014 0.141633 0.131115 0.128262 0.124930 0.144702 
0.146253 0.144665 0.136232 0.144694 0.138102 0.138313 0.133169 0.128714 0.139688 0.138292 0.146727 0.130401 0.135939 0.128998 0.126976 0.139550 0.132432 
0.144794 0.129871 0.131831 0.145619 0.131964 0.138745 0.141469 0.137459 0.141597 0.133102 0.138681 0.145546 0.131619 0.128949 0.131251 0.128725 0.140372 
0.149901 0.134023 0.144902 0.141325 0.137116 0.143894 0.134275 0.124390 0.143051 0.133262 0.132364 0.137235 0.125716 0.137317 0.124687 0.128140 0.126801 
0.137022 0.138932 0.136940 0.134218 0.134419 0.145297 0.136578 0.134333 0.138312 0.136308 0.126942 0.121964 0.141122 0.134125 0.125925 0.142508 0.135971 
0.138863 0.134118 0.144568 0.141284 0.140927 0.139471 0.135858 0.137009 0.133035 0.142207 0.142886 0.135062 0.135548 0.131748 0.146099 0.123482 0.119378 
0.147954 0.145740 0.146845 0.123381 0.138256 0.135436 0.126851 0.136292 0.135410 0.126158 0.138837 0.142292 0.128463 0.140780 0.141638 0.133468 0.130317 
0.141685 0.140102 0.147805 0.136996 0.140776 0.148398 0.138953 0.137919 0.135296 0.140201 0.129270 0.145986 0.141527 0.136423 0.141786 0.142838 0.146700 
0.147508 0.153931 0.146747 0.137175 0.145197 0.136622 0.145927 0.141832 0.134435 0.124401 0.141915 0.137517 0.142470 0.134525 0.141059 0.132465 0.147517 

Number of relative response measurements per bin:

 3176  5703  6579  9544  9121 12189 11583 12246 11777 12640 15151 13494 13316 11549 11063 10884  8518 
 3925  7197  7832 10978 14346 12560 16192 15381 15059 15023 17587 13929 15947 15695 16153 16088 13748 
 4079  7467  9838 11047 12167 12645 14285 13595 15214 16255 14809 17173 16452 17595 16414 13732 14059 
 4016  6954  8858 10324 13580 12973 12891 14747 16624 17427 16940 16131 16967 15866 15109 14625 12816 
 3943  7227  8242 11659 12764 12875 12506 14145 15978 16703 16414 16380 15907 15272 15925 14824 14795 
 4216  8081  8880 11479 14009 15335 13104 16291 16475 17242 16475 15667 16570 17583 15580 14763 13373 
 4279  8279  9774 12267 11898 14169 14510 16304 14811 16953 13965 16995 15652 16944 16071 15432 12812 
 4287  8040 11400 11798 13120 13057 13583 14023 16462 18411 15483 18012 17490 14643 16362 16307 13579 
 3879  8279  9840 12889 14068 14003 14869 15026 16029 17536 15847 17897 16036 17010 16951 15303 11239 
 4694  8405 10972 12554 14404 13743 15163 15399 15558 18486 16723 16382 17790 17754 16915 14660 13004 
 4062  7768 10959 12013 13524 13604 13911 15344 16884 16273 15661 16529 15124 15036 16876 15339 12374 
 4059  7600  9911 12109 13586 14075 14129 15902 15790 14271 18829 16731 17697 15447 15655 15977 13359 
 4192  8411 10402 12333 12839 14615 14633 15871 17139 17442 19617 19510 19182 15200 15643 16484 10781 
 4352  7911 10576 12490 13011 15725 15575 15826 16695 18036 16805 17149 15745 16178 16283 16639 12519 
 4475  7553 10023 10844 12857 14829 15570 15845 16576 14824 17687 16438 15864 14559 18022 14482 10734 
 4418  7997 10827 12600 12922 14925 14770 16559 17388 14760 17929 16380 16782 16525 16580 14838 11313 
 3595  5651  8262  9573 11104 11254 12491 13505 14873 13956 15423 12653 14875 11724 13751 11457 10332

1-sigma uncertainty [~RMS/sqrt(N)] in relative response per bin:

0.002612 0.001848 0.001724 0.001544 0.001313 0.001371 0.001127 0.001301 0.001266 0.001084 0.001126 0.001118 0.001226 0.001188 0.001214 0.001338 0.001655 
0.002094 0.001567 0.001460 0.001322 0.001152 0.001096 0.001117 0.001140 0.001138 0.001087 0.001058 0.001221 0.001151 0.001021 0.001101 0.001055 0.001279 
0.002228 0.001589 0.001421 0.001378 0.001254 0.001175 0.001236 0.001189 0.001071 0.001076 0.001119 0.001007 0.000939 0.001044 0.001062 0.001168 0.001146 
0.002052 0.001792 0.001423 0.001433 0.001176 0.001202 0.001225 0.001137 0.001025 0.001002 0.001071 0.001119 0.001057 0.001043 0.001048 0.001163 0.001129 
0.002317 0.001651 0.001531 0.001295 0.001218 0.001241 0.001260 0.001116 0.001050 0.001023 0.001039 0.001089 0.001047 0.001124 0.001096 0.001061 0.001079 
0.002184 0.001465 0.001424 0.001253 0.001099 0.001115 0.001283 0.000997 0.001070 0.001005 0.000998 0.001127 0.001068 0.000990 0.001047 0.001167 0.001105 
0.002086 0.001560 0.001505 0.001197 0.001254 0.001136 0.001075 0.000979 0.001126 0.000937 0.001090 0.001038 0.001055 0.001074 0.000997 0.001135 0.001232 
0.002222 0.001634 0.001285 0.001336 0.001264 0.001273 0.001106 0.001076 0.001068 0.000967 0.000953 0.000979 0.001023 0.001147 0.001047 0.001173 0.001176 
0.002143 0.001453 0.001474 0.001231 0.001124 0.001140 0.001149 0.001053 0.001178 0.001055 0.001063 0.000964 0.001118 0.001005 0.000985 0.001010 0.001365 
0.002135 0.001578 0.001301 0.001291 0.001151 0.001180 0.001081 0.001037 0.001120 0.001017 0.001135 0.001019 0.001019 0.000968 0.000976 0.001153 0.001161 
0.002272 0.001474 0.001259 0.001329 0.001135 0.001190 0.001199 0.001110 0.001090 0.001043 0.001108 0.001132 0.001070 0.001052 0.001010 0.001039 0.001262 
0.002353 0.001537 0.001456 0.001284 0.001176 0.001213 0.001130 0.000986 0.001138 0.001116 0.000965 0.001061 0.000945 0.001105 0.000997 0.001014 0.001097 
0.002116 0.001515 0.001343 0.001209 0.001186 0.001202 0.001129 0.001066 0.001056 0.001032 0.000906 0.000873 0.001019 0.001088 0.001007 0.001110 0.001310 
0.002105 0.001508 0.001406 0.001264 0.001235 0.001112 0.001089 0.001089 0.001030 0.001059 0.001102 0.001031 0.001080 0.001036 0.001145 0.000957 0.001067 
0.002212 0.001677 0.001467 0.001185 0.001219 0.001112 0.001017 0.001083 0.001052 0.001036 0.001044 0.001110 0.001020 0.001167 0.001055 0.001109 0.001258 
0.002132 0.001567 0.001420 0.001220 0.001238 0.001215 0.001143 0.001072 0.001026 0.001154 0.000965 0.001141 0.001092 0.001061 0.001101 0.001173 0.001379 
0.002460 0.002048 0.001614 0.001402 0.001378 0.001288 0.001306 0.001220 0.001102 0.001053 0.001143 0.001223 0.001168 0.001242 0.001203 0.001238 0.001451 

W4 responsivities and metrics

The metrics below are for the Apr 2010 run since it used more data (25 days worth), compared to 20 days for the Feb 2010 run. JPEGs of the LF responsivity and uncertainty maps for all bands are shown further below.

Number of unique input sources read = 70370
Number of bins: 7 x 7
Minimum number of same-source apparitions across frame overlaps: 20
S/N >= 4
Chi-square <= 2.0
WPRO mag. range = 6.5 - 10
Active deblend flag = 0
Number of components in fit = 1
Match radius = 2.0 arcsec

Relative response per bin:

0.999490 1.001318 1.006669 1.018161 0.991044 1.005752 0.990860 
1.010895 0.998727 0.996429 1.029024 1.010643 1.012601 1.023605 
1.010664 1.005566 0.991831 1.029384 1.017765 1.034067 1.037809 
1.029261 1.019356 0.989817 1.015296 0.991337 0.975486 0.982515 
0.993880 1.014457 1.007407 1.012568 1.008827 0.990907 0.994099 
0.979312 0.998924 1.005718 1.001234 1.004943 0.973842 0.983429 
0.970620 0.981604 0.972841 0.979779 0.983583 0.960332 0.960504 

RMS in relative response per bin:

0.142027 0.159335 0.166943 0.139816 0.136595 0.119617 0.147169 
0.153785 0.148430 0.139719 0.140714 0.143558 0.139177 0.152300 
0.142403 0.144306 0.140004 0.139966 0.152519 0.142714 0.152846 
0.140620 0.147854 0.141817 0.152645 0.147529 0.146449 0.143308 
0.143749 0.133992 0.133954 0.141121 0.147176 0.146035 0.147027 
0.133441 0.155129 0.155082 0.133103 0.131680 0.134568 0.143842 
0.144878 0.135573 0.137558 0.151456 0.138460 0.146387 0.138808 

Number of relative response measurements per bin:

 3685  6695  9077 10195 11448 11823 12262 
 5305  7504  9315 11518 12214 16200 12556 
 6056  8304 10377 11308 12637 14435 12038 
 6013  8535 10183 11950 15032 14363 12687 
 6700  8631 10148 11208 15097 14372 12761 
 6052  8290 10515 12674 15012 13453 13437 
 5631  7847 10408 10110 12080 13454 11927 

1-sigma uncertainty [~RMS/sqrt(N)] in relative response per bin:

0.002340 0.001947 0.001752 0.001385 0.001277 0.001100 0.001329 
0.002111 0.001713 0.001448 0.001311 0.001299 0.001093 0.001359 
0.001830 0.001584 0.001374 0.001316 0.001357 0.001188 0.001393 
0.001813 0.001600 0.001405 0.001396 0.001203 0.001222 0.001272 
0.001756 0.001442 0.001330 0.001333 0.001198 0.001218 0.001302 
0.001715 0.001704 0.001512 0.001182 0.001075 0.001160 0.001241 
0.001931 0.001530 0.001348 0.001506 0.001260 0.001262 0.001271 

W1-W4 relative responsivity maps

TOP ROW: W1,W2,W3,W4 for February 2010.

BOTTOM ROW: W1,W2,W3,W4 for April 2010.

Maps have been Gaussian smoothed. All are at the same stretch. See color-bar for scale.

W1-W4 1-sigma uncertainty maps in responsivities above

TOP ROW: W1,W2,W3,W4 for February 2010.

BOTTOM ROW: W1,W2,W3,W4 for April 2010.

Maps have been Gaussian smoothed. All are at the same stretch. See color-bar for scale.




Last update - 18 January 2011
F. Masci - IPAC/Caltech