Difference between revisions of "Spectral response"

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== HFI Unit Conversion and Colour Correction ==
+
== HFI Spectral Response ==
  
−
This section outlines the unit conversion and colour correction protocol for Planck/HFI.  Tables of unit conversion and colour correction coefficients will be included (there is not room for these in the P03d Co-Paper).  Some of the checks on the unit conversion and colour correction coefficients will be described here also.  Planet colour correction coefficients will be provided here (or perhaps in the joint HFI/LFI section).  THere will be links to the UcCC subsection of the PLA section, but the numbers and details belong here.  The PLA UcCC subsection is primarily to introduce the software tools.
+
This section outlines the unit conversion and colour correction protocol for Planck/HFI.  Tables of unit conversion and colour correction coefficients will be included (there is not room for these in the P03d Co-Paper).  Some of the checks on the unit conversion and colour correction coefficients will be described here also.  Planet colour correction coefficients will be provided here (or perhaps in the joint HFI/LFI section).  There will be links to the UcCC subsection of the PLA section, but the numbers and details belong here.  The PLA UcCC subsection is primarily to introduce the software tools.
 +
 
 +
The band-average HFI spectral response data are shown in the figure below, and provided in the RIMO file [FIXME].
 +
 
 +
FIXME: insert figure.
 +
 
 +
The integration ranges used in determining the unit conversion and colour correction coefficients are verified through an iterative approach starting at one extreme and reducing to the band-centre for both the low and high frequency edges.  The figure below demonstrates the stability in the integral once a sufficient data range has been employed.  The range used in the official coefficients is thus sufficient to ensure that it falls within the flat region of the demonstration figure below.
 +
 
 +
FIXME: insert figure showing integral flattening once the range hs extended sufficiently out of band.
 +
 
 +
The band-average spectrum for a given frequency band is derived using a hit-map normalized inverse-square noise weighted detector spectrum average.  Thus, the effective band-average spectrum changes depending on the region of sky in question, really the Planck coverage of any sky region.  The histograms below demonstrate the variation across the sky of the detector weight coefficients, and thus the validity of using a single band-average spectrum for the entire sky map.  Future analysis with the full Planck dataset may require incorporating the variation of the relative detector weights across the sky into understanding the differential spectral transmission between complementary maps (e.g. detset -1 cf. detset-2 maps). 
 +
 
 +
FIXME: include detector weight histogram plots.
 +
 
 +
The following table presents basic characteristics of the HFI detector spectral repsonse, inclusing optical efficiency, effective frequency, etc.
 +
 
 +
FIXME: Add table from HFI_SPEC_TRANS_REPORT
 +
 
 +
=== Unit Conversion Tables ===
 +
 
 +
This section presents unit conversion coefficients for the HFI detectors (and LFI in some instances), including uncertainty estimates based on the uncertainty of the HFI detector spectral response.  The derivation of the unit conversion coefficients is provided in <cite>planck2013-p02d</cite>.
 +
 
 +
Table XX: MJy/sr/KCMB unit conversion table.
 +
{| border = 1
 +
|+
 +
|-
 +
| Band (GHz) || BC || Det. || U_C [MJy/sr/K'_CMB_']
 +
|-
 +
 
 +
| 100 || 00 || 1a || 238.2871 ± 0.5039
 +
|-
 +
| 100 || 01 || 1b || 241.8530 ± 0.4899
 +
|-
 +
| 100 || 20 || 2a || 244.2375 ± 0.5301
 +
|-
 +
| 100 || 21 || 2b || 243.3572 ± 0.5621
 +
|-
 +
| 100 || 40 || 3a || 246.0715 ± 0.5254
 +
|-
 +
| 100 || 41 || 3b || 240.1739 ± 0.5075
 +
|-
 +
| 100 || 80 || 4a || 246.7316 ± 0.5607
 +
|-
 +
| 100 || 81 || 4b || 247.6289 ± 0.5442
 +
|-
 +
| 100 || 100 || avg || 244.0960 ± 0.2170
 +
|-
 +
 
 +
| 143 || 02 || 1a || 366.4108 ± 0.1726
 +
|-
 +
| 143 || 03 || 1b || 369.5905 ± 0.1823
 +
|-
 +
| 143 || 30 || 2a || 366.7249 ± 0.1788
 +
|-
 +
| 143 || 31 || 2b || 370.7001 ± 0.1703
 +
|-
 +
| 143 || 50 || 3a || 360.0418 ± 0.1892
 +
|-
 +
| 143 || 51 || 3b || 365.9529 ± 0.1835
 +
|-
 +
| 143 || 82 || 4a || 371.3469 ± 0.1811
 +
|-
 +
| 143 || 83 || 4b || 369.0953 ± 0.1758
 +
|-
 +
| 143 || 10 || 5 || 380.1162 ± 0.1659
 +
|-
 +
| 143 || 42 || 6 || 373.3413 ± 0.1744
 +
|-
 +
| 143 || 60 || 7 || 381.2511 ± 0.1745
 +
|-
 +
| 143 || 70 || 8 || 376.1461 ± 0.1777
 +
|-
 +
| 143 || 143 || avg || 371.7327 ± 0.0558
 +
|-
 +
 
 +
| 217 || 04 || 1 || 486.0322 ± 0.0252
 +
|-
 +
| 217 || 22 || 2 || 486.4008 ± 0.0262
 +
|-
 +
| 217 || 52 || 3 || 486.8924 ± 0.0257
 +
|-
 +
| 217 || 84 || 4 || 486.0164 ± 0.0248
 +
|-
 +
| 217 || 11 || 5a || 479.8049 ± 0.0286
 +
|-
 +
| 217 || 12 || 5b || 480.4364 ± 0.0280
 +
|-
 +
| 217 || 43 || 6a || 480.3416 ± 0.0281
 +
|-
 +
| 217 || 44 || 6b || 480.3544 ± 0.0284
 +
|-
 +
| 217 || 61 || 7a || 481.0486 ± 0.0265
 +
|-
 +
| 217 || 62 || 7b || 480.0012 ± 0.0283
 +
|-
 +
| 217 || 71 || 8a || 479.8096 ± 0.0289
 +
|-
 +
| 217 || 72 || 8b || 480.7686 ± 0.0271
 +
|-
 +
| 217 || 217 || avg || 483.6874 ± 0.0084
 +
|-
 +
 
 +
| 353 || 05 || 1 || 288.4183 ± 0.0150
 +
|-
 +
| 353 || 13 || 2 || 287.8701 ± 0.0158
 +
|-
 +
| 353 || 23 || 3a || 289.2493 ± 0.0176
 +
|-
 +
| 353 || 24 || 3b || 289.1951 ± 0.0159
 +
|-
 +
| 353 || 32 || 4a || 286.6167 ± 0.0155
 +
|-
 +
| 353 || 33 || 4b || 286.5976 ± 0.0161
 +
|-
 +
| 353 || 53 || 5a || 289.9808 ± 0.0157
 +
|-
 +
| 353 || 54 || 5b || 289.9004 ± 0.0161
 +
|-
 +
| 353 || 63 || 6a || 288.8151 ± 0.0190
 +
|-
 +
| 353 || 64 || 6b || 292.8348 ± 0.0179
 +
|-
 +
| 353 || 45 || 7 || 285.3414 ± 0.0192
 +
|-
 +
| 353 || 85 || 8 || 283.5120 ± 0.0177
 +
|-
 +
| 353 || 353 || avg || 287.4517 ± 0.0061
 +
|-
 +
 
 +
| 545 || 14 || 1 || 57.0831 ± 0.0343
 +
|-
 +
| 545 || 34 || 2 || 58.8825 ± 0.0320
 +
|-
 +
| 545 || 55 || 3 || 57.8794 ± 0.0595
 +
|-
 +
| 545 || 73 || 4 || 58.0595 ± 0.0368
 +
|-
 +
| 545 || 545 || avg || 58.0356 ± 0.0199
 +
|-
 +
 
 +
| 857 || 25 || 1 || 2.1891 ± 0.0391
 +
|-
 +
| 857 || 35 || 2 || 2.3457 ± 0.0323
 +
|-
 +
| 857 || 65 || 3 || 2.2133 ± 0.0363
 +
|-
 +
| 857 || 74 || 4 || 2.4022 ± 0.0402
 +
|-
 +
| 857 || 857 || avg || 2.2681 ± 0.0188
 +
|-
 +
 
 +
Table YY: MJy/sr to Tb unit conversion.
 +
{| border = 1
 +
|+
 +
|-
 +
| Band (GHz) || BC || Det. || U_C [K'_RJ_'/(MJy/sr)]
 +
|-
 +
 
 +
| 100 || 00 || 1a || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 01 || 1b || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 20 || 2a || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 21 || 2b || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 40 || 3a || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 41 || 3b || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 80 || 4a || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 81 || 4b || 0.0033 ± 0.0000
 +
|-
 +
| 100 || 100 || avg || 0.0033 ± 0.0000
 +
|-
 +
 
 +
| 143 || 02 || 1a || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 03 || 1b || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 30 || 2a || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 31 || 2b || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 50 || 3a || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 51 || 3b || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 82 || 4a || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 83 || 4b || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 10 || 5 || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 42 || 6 || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 60 || 7 || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 70 || 8 || 0.0016 ± 0.0000
 +
|-
 +
| 143 || 143 || avg || 0.0016 ± 0.0000
 +
|-
 +
 
 +
| 217 || 04 || 1 || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 22 || 2 || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 52 || 3 || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 84 || 4 || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 11 || 5a || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 12 || 5b || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 43 || 6a || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 44 || 6b || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 61 || 7a || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 62 || 7b || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 71 || 8a || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 72 || 8b || 0.0007 ± 0.0000
 +
|-
 +
| 217 || 217 || avg || 0.0007 ± 0.0000
 +
|-
 +
 
 +
| 353 || 05 || 1 || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 13 || 2 || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 23 || 3a || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 24 || 3b || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 32 || 4a || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 33 || 4b || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 53 || 5a || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 54 || 5b || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 63 || 6a || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 64 || 6b || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 45 || 7 || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 85 || 8 || 0.0003 ± 0.0000
 +
|-
 +
| 353 || 353 || avg || 0.0003 ± 0.0000
 +
|-
 +
 
 +
| 545 || 14 || 1 || 0.0001 ± 0.0000
 +
|-
 +
| 545 || 34 || 2 || 0.0001 ± 0.0000
 +
|-
 +
| 545 || 55 || 3 || 0.0001 ± 0.0000
 +
|-
 +
| 545 || 73 || 4 || 0.0001 ± 0.0000
 +
|-
 +
| 545 || 545 || avg || 0.0001 ± 0.0000
 +
|-
 +
 
 +
| 857 || 25 || 1 || 4.4315e-05 ± 0.0000
 +
|-
 +
| 857 || 35 || 2 || 4.4315e-05 ± 0.0000
 +
|-
 +
| 857 || 65 || 3 || 4.4315e-05 ± 0.0000
 +
|-
 +
| 857 || 74 || 4 || 4.4315e-05 ± 0.0000
 +
|-
 +
| 857 || 857 || avg || 4.4315e-05 ± 0.0000
 +
|-
 +
 
 +
Table ZZ: KCMB to ySZ unit conversion
 +
{| border = 1
 +
|+
 +
|-
 +
| Band (GHz) || BC || Det. || U_C [y'_SZ_'/K'_CMB_']
 +
|-
 +
 
 +
| 100 || 00 || 1a || -0.2461 ± 0.0001
 +
|-
 +
| 100 || 01 || 1b || -0.2470 ± 0.0001
 +
|-
 +
| 100 || 20 || 2a || -0.2483 ± 0.0001
 +
|-
 +
| 100 || 21 || 2b || -0.2480 ± 0.0001
 +
|-
 +
| 100 || 40 || 3a || -0.2487 ± 0.0001
 +
|-
 +
| 100 || 41 || 3b || -0.2469 ± 0.0001
 +
|-
 +
| 100 || 80 || 4a || -0.2491 ± 0.0001
 +
|-
 +
| 100 || 81 || 4b || -0.2492 ± 0.0001
 +
|-
 +
| 100 || 100 || avg || -0.2481 ± 5.2679e-05
 +
|-
 +
 
 +
| 143 || 02 || 1a || -0.3550 ± 0.0001
 +
|-
 +
| 143 || 03 || 1b || -0.3574 ± 0.0001
 +
|-
 +
| 143 || 30 || 2a || -0.3555 ± 0.0001
 +
|-
 +
| 143 || 31 || 2b || -0.3582 ± 0.0001
 +
|-
 +
| 143 || 50 || 3a || -0.3502 ± 0.0001
 +
|-
 +
| 143 || 51 || 3b || -0.3548 ± 0.0001
 +
|-
 +
| 143 || 82 || 4a || -0.3596 ± 0.0001
 +
|-
 +
| 143 || 83 || 4b || -0.3569 ± 0.0001
 +
|-
 +
| 143 || 10 || 5 || -0.3656 ± 0.0001
 +
|-
 +
| 143 || 42 || 6 || -0.3604 ± 0.0001
 +
|-
 +
| 143 || 60 || 7 || -0.3666 ± 0.0001
 +
|-
 +
| 143 || 70 || 8 || -0.3629 ± 0.0001
 +
|-
 +
| 143 || 143 || avg || -0.3592 ± 4.2195e-05
 +
|-
 +
 
 +
| 217 || 04 || 1 || 4.3470 ± 0.0090
 +
|-
 +
| 217 || 22 || 2 || 4.0275 ± 0.0081
 +
|-
 +
| 217 || 52 || 3 || 4.1184 ± 0.0082
 +
|-
 +
| 217 || 84 || 4 || 4.4334 ± 0.0094
 +
|-
 +
| 217 || 11 || 5a || 7.4840 ± 0.0288
 +
|-
 +
| 217 || 12 || 5b || 6.9766 ± 0.0244
 +
|-
 +
| 217 || 43 || 6a || 7.0507 ± 0.0249
 +
|-
 +
| 217 || 44 || 6b || 7.0169 ± 0.0249
 +
|-
 +
| 217 || 61 || 7a || 6.7975 ± 0.0228
 +
|-
 +
| 217 || 62 || 7b || 7.6995 ± 0.0307
 +
|-
 +
| 217 || 71 || 8a || 7.2564 ± 0.0273
 +
|-
 +
| 217 || 72 || 8b || 6.8621 ± 0.0231
 +
|-
 +
| 217 || 217 || avg || 5.1531 ± 0.0042
 +
|-
 +
 
 +
| 353 || 05 || 1 || 0.1623 ± 1.7570e-05
 +
|-
 +
| 353 || 13 || 2 || 0.1620 ± 1.7967e-05
 +
|-
 +
| 353 || 23 || 3a || 0.1623 ± 2.2104e-05
 +
|-
 +
| 353 || 24 || 3b || 0.1628 ± 1.8225e-05
 +
|-
 +
| 353 || 32 || 4a || 0.1589 ± 1.6673e-05
 +
|-
 +
| 353 || 33 || 4b || 0.1594 ± 1.7566e-05
 +
|-
 +
| 353 || 53 || 5a || 0.1645 ± 1.8971e-05
 +
|-
 +
| 353 || 54 || 5b || 0.1649 ± 1.9322e-05
 +
|-
 +
| 353 || 63 || 6a || 0.1630 ± 2.2397e-05
 +
|-
 +
| 353 || 64 || 6b || 0.1665 ± 2.1640e-05
 +
|-
 +
| 353 || 45 || 7 || 0.1582 ± 2.4010e-05
 +
|-
 +
| 353 || 85 || 8 || 0.1571 ± 1.8646e-05
 +
|-
 +
| 353 || 353 || avg || 0.1611 ± 7.0587e-06
 +
|-
 +
 
 +
| 545 || 14 || 1 || 0.0688 ± 3.9623e-05
 +
|-
 +
| 545 || 34 || 2 || 0.0696 ± 3.6313e-05
 +
|-
 +
| 545 || 55 || 3 || 0.0690 ± 6.9471e-05
 +
|-
 +
| 545 || 73 || 4 || 0.0690 ± 4.2375e-05
 +
|-
 +
| 545 || 545 || avg || 0.0692 ± 2.2699e-05
 +
|-
 +
 
 +
| 857 || 25 || 1 || 0.0378 ± 0.0006
 +
|-
 +
| 857 || 35 || 2 || 0.0382 ± 0.0004
 +
|-
 +
| 857 || 65 || 3 || 0.0378 ± 0.0005
 +
|-
 +
| 857 || 74 || 4 || 0.0382 ± 0.0005
 +
|-
 +
| 857 || 857 || avg || 0.0380 ± 0.0003
 +
|-
 +
 
 +
=== Colour Correction, Powerlaw spectra ===
 +
 
 +
The following table presents colour correction coefficients for HFI (and LFI) detectors and bands.  Following the table, plots are also included demonstrating the variation in colour correction coefficients within a frequency band, over a range of spectral indices.
 +
 
 +
{| border = 1
 +
|+ CC Table
 +
|-
 +
| Band (GHz) || BC || Det. || F'_CC_', S.I.: -2 || -1 || 0 || 1 || 2
 +
|-
 +
 
 +
| 100 || 00 || 1a || 0.9864 ± 0.0009 || 1 || 1.0055 ± 0.0009 || 1.0027 ± 0.0017 || 0.9918 ± 0.0025
 +
|-
 +
| 100 || 01 || 1b || 0.9925 ± 0.0009 || 1 || 0.9994 ± 0.0008 || 0.9908 ± 0.0017 || 0.9743 ± 0.0025
 +
|-
 +
| 100 || 20 || 2a || 0.9943 ± 0.0009 || 1 || 0.9963 ± 0.0009 || 0.9831 ± 0.0018 || 0.9606 ± 0.0027
 +
|-
 +
| 100 || 21 || 2b || 0.9929 ± 0.0010 || 1 || 0.9977 ± 0.0009 || 0.9860 ± 0.0019 || 0.9651 ± 0.0028
 +
|-
 +
| 100 || 40 || 3a || 0.9972 ± 0.0009 || 1 || 0.9933 ± 0.0009 || 0.9772 ± 0.0018 || 0.9523 ± 0.0027
 +
|-
 +
| 100 || 41 || 3b || 0.9887 ± 0.0009 || 1 || 1.0026 ± 0.0009 || 0.9964 ± 0.0017 || 0.9814 ± 0.0026
 +
|-
 +
| 100 || 80 || 4a || 0.9980 ± 0.0010 || 1 || 0.9923 ± 0.0009 || 0.9751 ± 0.0019 || 0.9486 ± 0.0028
 +
|-
 +
| 100 || 81 || 4b || 0.9995 ± 0.0009 || 1 || 0.9908 ± 0.0009 || 0.9722 ± 0.0018 || 0.9447 ± 0.0028
 +
|-
 +
| 100 || 100 || avg || 0.9943 ± 0.0004 || 1 || 0.9964 ± 0.0004 || 0.9835 ± 0.0007 || 0.9617 ± 0.0011
 +
|-
 +
 
 +
| 143 || 02 || 1a || 0.97263 ± 0.00024 || 1 || 1.01872 ± 0.00023 || 1.02801 ± 0.00045 || 1.02743 ± 0.00067
 +
|-
 +
| 143 || 03 || 1b || 0.97677 ± 0.00025 || 1 || 1.01443 ± 0.00024 || 1.01949 ± 0.00047 || 1.01492 ± 0.00069
 +
|-
 +
| 143 || 30 || 2a || 0.97272 ± 0.00026 || 1 || 1.01834 ± 0.00024 || 1.02703 ± 0.00047 || 1.02566 ± 0.00069
 +
|-
 +
| 143 || 31 || 2b || 0.97820 ± 0.00024 || 1 || 1.01294 ± 0.00022 || 1.01653 ± 0.00044 || 1.01056 ± 0.00065
 +
|-
 +
| 143 || 50 || 3a || 0.96420 ± 0.00026 || 1 || 1.02753 ± 0.00025 || 1.04577 ± 0.00048 || 1.05402 ± 0.00071
 +
|-
 +
| 143 || 51 || 3b || 0.97178 ± 0.00026 || 1 || 1.01941 ± 0.00024 || 1.02926 ± 0.00047 || 1.02918 ± 0.00069
 +
|-
 +
| 143 || 82 || 4a || 0.97836 ± 0.00025 || 1 || 1.01212 ± 0.00024 || 1.01421 ± 0.00047 || 1.00611 ± 0.00069
 +
|-
 +
| 143 || 83 || 4b || 0.97609 ± 0.00025 || 1 || 1.01513 ± 0.00023 || 1.02093 ± 0.00046 || 1.01721 ± 0.00068
 +
|-
 +
| 143 || 10 || 5 || 0.99048 ± 0.00023 || 1 || 1.00048 ± 0.00022 || 0.99189 ± 0.00043 || 0.97451 ± 0.00064
 +
|-
 +
| 143 || 42 || 6 || 0.98148 ± 0.00024 || 1 || 1.00943 ± 0.00023 || 1.00943 ± 0.00045 || 0.99996 ± 0.00067
 +
|-
 +
| 143 || 60 || 7 || 0.99192 ± 0.00024 || 1 || 0.99900 ± 0.00023 || 0.98892 ± 0.00045 || 0.97009 ± 0.00067
 +
|-
 +
| 143 || 70 || 8 || 0.98488 ± 0.00025 || 1 || 1.00574 ± 0.00024 || 1.00188 ± 0.00047 || 0.98858 ± 0.00069
 +
|-
 +
| 143 || 143 || avg || 0.97935 ± 0.0000772811 || 1 || 1.01158 ± 0.0000731485 || 1.01364 ± 0.00014 || 1.00607 ± 0.00021
 +
|-
 +
 
 +
| 217 || 04 || 1 || 1.01104 ± 0.000054 || 1 || 0.98146 ± 0.000054 || 0.95584 ± 0.00011 || 0.92373 ± 0.00017
 +
|-
 +
| 217 || 22 || 2 || 1.01214 ± 0.000056 || 1 || 0.97999 ± 0.000057 || 0.95264 ± 0.00012 || 0.91866 ± 0.00018
 +
|-
 +
| 217 || 52 || 3 || 1.01277 ± 0.000054 || 1 || 0.97995 ± 0.000054 || 0.95309 ± 0.00011 || 0.92006 ± 0.00017
 +
|-
 +
| 217 || 84 || 4 || 1.01091 ± 0.000053 || 1 || 0.98175 ± 0.000054 || 0.95655 ± 0.00011 || 0.92496 ± 0.00017
 +
|-
 +
| 217 || 11 || 5a || 0.99803 ± 0.000060 || 1 || 0.99318 ± 0.000059 || 0.97777 ± 0.00012 || 0.95421 ± 0.00018
 +
|-
 +
| 217 || 12 || 5b || 0.99929 ± 0.000059 || 1 || 0.99202 ± 0.000058 || 0.97559 ± 0.00012 || 0.95120 ± 0.00018
 +
|-
 +
| 217 || 43 || 6a || 0.99908 ± 0.000059 || 1 || 0.99220 ± 0.000058 || 0.97593 ± 0.00012 || 0.95167 ± 0.00018
 +
|-
 +
| 217 || 44 || 6b || 0.99907 ± 0.000059 || 1 || 0.99219 ± 0.000058 || 0.97592 ± 0.00012 || 0.95169 ± 0.00018
 +
|-
 +
| 217 || 61 || 7a || 1.00045 ± 0.000056 || 1 || 0.99121 ± 0.000055 || 0.97430 ± 0.00011 || 0.94973 ± 0.00017
 +
|-
 +
| 217 || 62 || 7b || 0.99824 ± 0.000059 || 1 || 0.99328 ± 0.000058 || 0.97826 ± 0.00012 || 0.95537 ± 0.00018
 +
|-
 +
| 217 || 71 || 8a || 0.99810 ± 0.000060 || 1 || 0.99293 ± 0.000059 || 0.97713 ± 0.00012 || 0.95308 ± 0.00018
 +
|-
 +
| 217 || 72 || 8b || 0.99984 ± 0.000057 || 1 || 0.99161 ± 0.000056 || 0.97493 ± 0.00011 || 0.95048 ± 0.00017
 +
|-
 +
| 217 || 217 || avg || 1.00607 ± 0.000018 || 1 || 0.98586 ± 0.000018 || 0.96403 ± 0.000036 || 0.93508 ± 0.000055
 +
|-
 +
 
 +
| 353 || 05 || 1 || 1.00515 ± 0.000041 || 1 || 0.98729 ± 0.000041 || 0.96731 ± 0.000083 || 0.94058 ± 0.00013
 +
|-
 +
| 353 || 13 || 2 || 1.00617 ± 0.000042 || 1 || 0.98602 ± 0.000043 || 0.96453 ± 0.000087 || 0.93604 ± 0.00013
 +
|-
 +
| 353 || 23 || 3a || 1.00498 ± 0.000052 || 1 || 0.98835 ± 0.000051 || 0.97024 ± 0.000100 || 0.94602 ± 0.00015
 +
|-
 +
| 353 || 24 || 3b || 1.00404 ± 0.000042 || 1 || 0.98875 ± 0.000043 || 0.97046 ± 0.000088 || 0.94549 ± 0.00014
 +
|-
 +
| 353 || 32 || 4a || 1.01332 ± 0.000040 || 1 || 0.98071 ± 0.000042 || 0.95573 ± 0.000085 || 0.92551 ± 0.00013
 +
|-
 +
| 353 || 33 || 4b || 1.01220 ± 0.000041 || 1 || 0.98127 ± 0.000043 || 0.95631 ± 0.000088 || 0.92561 ± 0.00014
 +
|-
 +
| 353 || 53 || 5a || 1.00016 ± 0.000043 || 1 || 0.99191 ± 0.000043 || 0.97608 ± 0.000088 || 0.95292 ± 0.00013
 +
|-
 +
| 353 || 54 || 5b || 0.99946 ± 0.000044 || 1 || 0.99213 ± 0.000044 || 0.97600 ± 0.000090 || 0.95198 ± 0.00014
 +
|-
 +
| 353 || 63 || 6a || 1.00364 ± 0.000052 || 1 || 0.98856 ± 0.000052 || 0.96957 ± 0.00011 || 0.94351 ± 0.00016
 +
|-
 +
| 353 || 64 || 6b || 0.99521 ± 0.000048 || 1 || 0.99812 ± 0.000049 || 0.98954 ± 0.000098 || 0.97439 ± 0.00015
 +
|-
 +
| 353 || 45 || 7 || 1.01512 ± 0.000058 || 1 || 0.97828 ± 0.000056 || 0.95040 ± 0.00011 || 0.91695 ± 0.00017
 +
|-
 +
| 353 || 85 || 8 || 1.01821 ± 0.000045 || 1 || 0.97446 ± 0.000047 || 0.94216 ± 0.000098 || 0.90384 ± 0.00016
 +
|-
 +
| 353 || 353 || avg || 1.00811 ± 0.000016 || 1 || 0.98449 ± 0.000017 || 0.96190 ± 0.000034 || 0.93276 ± 0.000052
 +
|-
 +
 
 +
| 545 || 14 || 1 || 1.00706 ± 0.00018 || 1 || 0.98297 ± 0.00011 || 0.95694 ± 0.00017 || 0.92302 ± 0.00023
 +
|-
 +
| 545 || 34 || 2 || 0.99997 ± 0.00016 || 1 || 0.98982 ± 0.000097 || 0.97015 ± 0.00016 || 0.94196 ± 0.00021
 +
|-
 +
| 545 || 55 || 3 || 1.00355 ± 0.00031 || 1 || 0.98686 ± 0.00018 || 0.96491 ± 0.00029 || 0.93512 ± 0.00037
 +
|-
 +
| 545 || 73 || 4 || 1.00276 ± 0.00019 || 1 || 0.98774 ± 0.00011 || 0.96673 ± 0.00018 || 0.93790 ± 0.00023
 +
|-
 +
| 545 || 545 || avg || 1.00316 ± 0.000100 || 1 || 0.98693 ± 0.000060 || 0.96474 ± 0.000100 || 0.93445 ± 0.00013
 +
|-
 +
 
 +
| 857 || 25 || 1 || 0.9864 ± 0.0009 || 1 || 1.0055 ± 0.0009 || 1.0027 ± 0.0017 || 0.9918 ± 0.0025
 +
|-
 +
| 857 || 35 || 2 || 0.9925 ± 0.0009 || 1 || 0.9994 ± 0.0008 || 0.9908 ± 0.0017 || 0.9743 ± 0.0025
 +
|-
 +
| 857 || 65 || 3 || 0.9943 ± 0.0009 || 1 || 0.9963 ± 0.0009 || 0.9831 ± 0.0018 || 0.9606 ± 0.0027
 +
|-
 +
| 857 || 74 || 4 || 0.9929 ± 0.0010 || 1 || 0.9977 ± 0.0009 || 0.9860 ± 0.0019 || 0.9651 ± 0.0028
 +
|-
 +
| 857 || 857 || avg || 0.9972 ± 0.0009 || 1 || 0.9933 ± 0.0009 || 0.9772 ± 0.0018 || 0.9523 ± 0.0027
 +
|-
 +
 
 +
=== Colour Correction, Modified Blackbody ===
 +
 
 +
This section will present colour correction coefficients relevant for a variety of dust spectra...
 +
 
 +
=== CO unit ocnversion ===
 +
 
 +
This section presents the CO unit conversion coefficcients.
 +
 
 +
{| border = 1
 +
|+ Title
 +
|-
 +
| Band (GHz) || BC || Det. || CO line || F'_12CO_' [uK'_CMB_'/K'_RJ_'km/s] || F'_13CO_' [uK'_CMB_'/K'_RJ_'km/s]
 +
|-
 +
 
 +
| 100 || 00 || 1a || J1-0 || 10.87 ± 0.29 || 16.96 ± 0.75
 +
|-
 +
| 100 || 01 || 1b || J1-0 || 12.61 ± 0.27 || 16.40 ± 0.71
 +
|-
 +
| 100 || 20 || 2a || J1-0 || 14.69 ± 0.50 || 14.08 ± 0.61
 +
|-
 +
| 100 || 21 || 2b || J1-0 || 12.01 ± 0.39 || 17.50 ± 0.63
 +
|-
 +
| 100 || 40 || 3a || J1-0 || 16.36 ± 0.57 || 14.52 ± 0.64
 +
|-
 +
| 100 || 41 || 3b || J1-0 || 11.78 ± 0.48 || 13.78 ± 0.51
 +
|-
 +
| 100 || 80 || 4a || J1-0 || 19.09 ± 0.63 || 18.64 ± 0.79
 +
|-
 +
| 100 || 81 || 4b || J1-0 || 16.11 ± 0.57 || 17.57 ± 0.80
 +
|-
 +
| 100 || 100 || avg || J1-0 || 14.78 ± 0.21 || 15.55 ± 0.26
 +
|-
 +
 
 +
| 143 || 02 || 1a || J1-0 || 0.0613 ± 0.0031 || 0.0022 ± 5.0163e-05
 +
|-
 +
| 143 || 03 || 1b || J1-0 || 0.0437 ± 0.0022 || 0.0017 ± 5.5805e-05
 +
|-
 +
| 143 || 30 || 2a || J1-0 || 0.0523 ± 0.0027 || 0.0020 ± 0.0001
 +
|-
 +
| 143 || 31 || 2b || J1-0 || 0.0557 ± 0.0028 || 0.0022 ± 0.0001
 +
|-
 +
| 143 || 50 || 3a || J1-0 || 0.0881 ± 0.0045 || 0.0030 ± 2.3871e-05
 +
|-
 +
| 143 || 51 || 3b || J1-0 || 0.0737 ± 0.0036 || 0.0023 ± 0.0001
 +
|-
 +
| 143 || 82 || 4a || J1-0 || 0.0489 ± 0.0024 || 0.0018 ± 8.9210e-05
 +
|-
 +
| 143 || 83 || 4b || J1-0 || 0.0493 ± 0.0024 || 0.0019 ± 9.4426e-05
 +
|-
 +
| 143 || 10 || 5 || J1-0 || 0.0210 ± 0.0012 || 0.0012 ± 0.0001
 +
|-
 +
| 143 || 42 || 6 || J1-0 || 0.0579 ± 0.0029 || 0.0020 ± 0.0003
 +
|-
 +
| 143 || 60 || 7 || J1-0 || 0.0099 ± 0.0005 || 0.0005 ± 2.4544e-05
 +
|-
 +
| 143 || 70 || 8 || J1-0 || 0.0404 ± 0.0023 || 0.0018 ± 8.5655e-05
 +
|-
 +
| 143 || 143 || avg || J1-0 || 0.0470 ± 0.0008 || 0.0018 ± 4.4951e-05
 +
|-
 +
 
 +
| 143 || 02 || 1a || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 03 || 1b || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 30 || 2a || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 31 || 2b || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 50 || 3a || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 51 || 3b || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 82 || 4a || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 83 || 4b || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 10 || 5 || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 42 || 6 || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 60 || 7 || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 70 || 8 || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
| 143 || 143 || avg || J2-1 || 0.0 ± 0.0 || 0.0 ± 0.0
 +
|-
 +
 
 +
| 217 || 04 || 1 || J2-1 || 50.22 ± 0.36 || 34.42 ± 0.21
 +
|-
 +
| 217 || 22 || 2 || J2-1 || 42.47 ± 0.30 || 32.73 ± 0.21
 +
|-
 +
| 217 || 52 || 3 || J2-1 || 51.23 ± 0.35 || 37.37 ± 0.23
 +
|-
 +
| 217 || 84 || 4 || J2-1 || 47.75 ± 0.35 || 30.87 ± 0.19
 +
|-
 +
| 217 || 11 || 5a || J2-1 || 43.97 ± 0.29 || 35.85 ± 0.22
 +
|-
 +
| 217 || 12 || 5b || J2-1 || 43.68 ± 0.34 || 38.54 ± 0.22
 +
|-
 +
| 217 || 43 || 6a || J2-1 || 38.92 ± 0.30 || 41.21 ± 0.25
 +
|-
 +
| 217 || 44 || 6b || J2-1 || 40.75 ± 0.36 || 33.33 ± 0.21
 +
|-
 +
| 217 || 61 || 7a || J2-1 || 45.50 ± 0.31 || 41.57 ± 0.26
 +
|-
 +
| 217 || 62 || 7b || J2-1 || 43.58 ± 0.29 || 33.19 ± 0.20
 +
|-
 +
| 217 || 71 || 8a || J2-1 || 45.30 ± 0.31 || 41.48 ± 0.25
 +
|-
 +
| 217 || 72 || 8b || J2-1 || 41.78 ± 0.31 || 34.16 ± 0.21
 +
|-
 +
| 217 || 217 || avg || J2-1 || 45.85 ± 0.11 || 35.37 ± 0.07
 +
|-
 +
 
 +
| 353 || 05 || 1 || J3-2 || 170.3 ± 1.3 || 82.5 ± 0.4
 +
|-
 +
| 353 || 13 || 2 || J3-2 || 174.0 ± 1.3 || 130.8 ± 0.7
 +
|-
 +
| 353 || 23 || 3a || J3-2 || 185.4 ± 1.6 || 133.3 ± 0.8
 +
|-
 +
| 353 || 24 || 3b || J3-2 || 200.7 ± 1.5 || 166.6 ± 0.9
 +
|-
 +
| 353 || 32 || 4a || J3-2 || 172.9 ± 1.4 || 121.0 ± 0.7
 +
|-
 +
| 353 || 33 || 4b || J3-2 || 140.9 ± 1.3 || 125.2 ± 0.7
 +
|-
 +
| 353 || 53 || 5a || J3-2 || 150.3 ± 1.2 || 138.1 ± 0.7
 +
|-
 +
| 353 || 54 || 5b || J3-2 || 159.8 ± 1.1 || 143.9 ± 0.8
 +
|-
 +
| 353 || 63 || 6a || J3-2 || 148.9 ± 1.2 || 143.0 ± 0.9
 +
|-
 +
| 353 || 64 || 6b || J3-2 || 166.4 ± 1.5 || 167.1 ± 1.0
 +
|-
 +
| 353 || 45 || 7 || J3-2 || 196.9 ± 1.4 || 110.9 ± 0.6
 +
|-
 +
| 353 || 85 || 8 || J3-2 || 185.3 ± 1.4 || 99.9 ± 0.6
 +
|-
 +
| 353 || 353 || avg || J3-2 || 175.1 ± 0.5 || 117.1 ± 0.2
 +
|-
 +
 
 +
| 545 || 14 || 1 || J4-3 || 256.5 ± 2.5 || 47.8 ± 0.9
 +
|-
 +
| 545 || 34 || 2 || J4-3 || 268.3 ± 2.4 || 83.9 ± 1.0
 +
|-
 +
| 545 || 55 || 3 || J4-3 || 258.3 ± 3.2 || 59.7 ± 1.7
 +
|-
 +
| 545 || 73 || 4 || J4-3 || 230.7 ± 2.4 || 35.5 ± 1.1
 +
|-
 +
| 545 || 545 || avg || J4-3 || 252.5 ± 1.4 || 56.9 ± 0.6
 +
|-
 +
 
 +
| 545 || 14 || 1 || J5-4 || 2216.1 ± 11.8 || 1144.5 ± 6.3
 +
|-
 +
| 545 || 34 || 2 || J5-4 || 2281.8 ± 12.3 || 1422.4 ± 7.6
 +
|-
 +
| 545 || 55 || 3 || J5-4 || 2349.2 ± 13.4 || 1845.6 ± 10.4
 +
|-
 +
| 545 || 73 || 4 || J5-4 || 2473.6 ± 13.7 || 1492.2 ± 8.1
 +
|-
 +
| 545 || 545 || avg || J5-4 || 2322.2 ± 7.3 || 1356.1 ± 4.3
 +
|-
 +
 
 +
| 857 || 25 || 1 || J6-5 || 7794.4 ± 160.0 || 3264.7 ± 81.0
 +
|-
 +
| 857 || 35 || 2 || J6-5 || 6702.0 ± 111.9 || 1700.5 ± 43.7
 +
|-
 +
| 857 || 65 || 3 || J6-5 || 6978.7 ± 144.5 || 1417.9 ± 60.8
 +
|-
 +
| 857 || 74 || 4 || J6-5 || 7565.4 ± 145.4 || 1439.8 ± 57.3
 +
|-
 +
| 857 || 857 || avg || J6-5 || 7217.3 ± 71.4 || 2016.6 ± 30.4
 +
|-
 +
 
 +
| 857 || 25 || 1 || J7-6 || 72291.9 ± 1440.7 || 61488.8 ± 1186.4
 +
|-
 +
| 857 || 35 || 2 || J7-6 || 62775.8 ± 995.9 || 64156.9 ± 969.1
 +
|-
 +
| 857 || 65 || 3 || J7-6 || 82316.7 ± 1523.9 || 57721.9 ± 1029.5
 +
|-
 +
| 857 || 74 || 4 || J7-6 || 87556.9 ± 1619.8 || 63467.8 ± 1119.9
 +
|-
 +
| 857 || 857 || avg || J7-6 || 74876.2 ± 694.6 || 61406.7 ± 545.5
 +
|-
 +
 
 +
| 857 || 25 || 1 || J8-7 || 168443.0 ± 3337.6 || 136686.1 ± 2671.9
 +
|-
 +
| 857 || 35 || 2 || J8-7 || 145623.5 ± 2313.6 || 117751.3 ± 1825.7
 +
|-
 +
| 857 || 65 || 3 || J8-7 || 154861.1 ± 2861.8 || 126685.2 ± 2320.6
 +
|-
 +
| 857 || 74 || 4 || J8-7 || 125207.4 ± 2288.6 || 123683.8 ± 2230.9
 +
|-
 +
| 857 || 857 || avg || J8-7 || 151726.7 ± 1398.9 || 126570.5 ± 1151.8
 +
|-
 +
 
 +
| 857 || 25 || 1 || J9-8 || 4941.8 ± 242.8 || 102261.9 ± 2036.6
 +
|-
 +
| 857 || 35 || 2 || J9-8 || 5619.9 ± 238.2 || 80172.8 ± 1263.2
 +
|-
 +
| 857 || 65 || 3 || J9-8 || 6897.2 ± 301.2 || 100933.8 ± 1853.0
 +
|-
 +
| 857 || 74 || 4 || J9-8 || 144.7 ± 232.1 || 51734.0 ± 988.8
 +
|-
 +
| 857 || 857 || avg || J9-8 || 4998.3 ± 131.9 || 88290.3 ± 821.8
 +
|-

Revision as of 01:06, 30 January 2013

HFI Spectral Response[edit]

This section outlines the unit conversion and colour correction protocol for Planck/HFI. Tables of unit conversion and colour correction coefficients will be included (there is not room for these in the P03d Co-Paper). Some of the checks on the unit conversion and colour correction coefficients will be described here also. Planet colour correction coefficients will be provided here (or perhaps in the joint HFI/LFI section). There will be links to the UcCC subsection of the PLA section, but the numbers and details belong here. The PLA UcCC subsection is primarily to introduce the software tools.

The band-average HFI spectral response data are shown in the figure below, and provided in the RIMO file [FIXME].

FIXME: insert figure.

The integration ranges used in determining the unit conversion and colour correction coefficients are verified through an iterative approach starting at one extreme and reducing to the band-centre for both the low and high frequency edges. The figure below demonstrates the stability in the integral once a sufficient data range has been employed. The range used in the official coefficients is thus sufficient to ensure that it falls within the flat region of the demonstration figure below.

FIXME: insert figure showing integral flattening once the range hs extended sufficiently out of band.

The band-average spectrum for a given frequency band is derived using a hit-map normalized inverse-square noise weighted detector spectrum average. Thus, the effective band-average spectrum changes depending on the region of sky in question, really the Planck coverage of any sky region. The histograms below demonstrate the variation across the sky of the detector weight coefficients, and thus the validity of using a single band-average spectrum for the entire sky map. Future analysis with the full Planck dataset may require incorporating the variation of the relative detector weights across the sky into understanding the differential spectral transmission between complementary maps (e.g. detset -1 cf. detset-2 maps).

FIXME: include detector weight histogram plots.

The following table presents basic characteristics of the HFI detector spectral repsonse, inclusing optical efficiency, effective frequency, etc.

FIXME: Add table from HFI_SPEC_TRANS_REPORT

Unit Conversion Tables[edit]

This section presents unit conversion coefficients for the HFI detectors (and LFI in some instances), including uncertainty estimates based on the uncertainty of the HFI detector spectral response. The derivation of the unit conversion coefficients is provided in planck2013-p02d.

Table XX: MJy/sr/KCMB unit conversion table.

Table YY: MJy/sr to Tb unit conversion.
Band (GHz) BC Det. U_C [MJy/sr/K'_CMB_']
100 00 1a 238.2871 ± 0.5039
100 01 1b 241.8530 ± 0.4899
100 20 2a 244.2375 ± 0.5301
100 21 2b 243.3572 ± 0.5621
100 40 3a 246.0715 ± 0.5254
100 41 3b 240.1739 ± 0.5075
100 80 4a 246.7316 ± 0.5607
100 81 4b 247.6289 ± 0.5442
100 100 avg 244.0960 ± 0.2170
143 02 1a 366.4108 ± 0.1726
143 03 1b 369.5905 ± 0.1823
143 30 2a 366.7249 ± 0.1788
143 31 2b 370.7001 ± 0.1703
143 50 3a 360.0418 ± 0.1892
143 51 3b 365.9529 ± 0.1835
143 82 4a 371.3469 ± 0.1811
143 83 4b 369.0953 ± 0.1758
143 10 5 380.1162 ± 0.1659
143 42 6 373.3413 ± 0.1744
143 60 7 381.2511 ± 0.1745
143 70 8 376.1461 ± 0.1777
143 143 avg 371.7327 ± 0.0558
217 04 1 486.0322 ± 0.0252
217 22 2 486.4008 ± 0.0262
217 52 3 486.8924 ± 0.0257
217 84 4 486.0164 ± 0.0248
217 11 5a 479.8049 ± 0.0286
217 12 5b 480.4364 ± 0.0280
217 43 6a 480.3416 ± 0.0281
217 44 6b 480.3544 ± 0.0284
217 61 7a 481.0486 ± 0.0265
217 62 7b 480.0012 ± 0.0283
217 71 8a 479.8096 ± 0.0289
217 72 8b 480.7686 ± 0.0271
217 217 avg 483.6874 ± 0.0084
353 05 1 288.4183 ± 0.0150
353 13 2 287.8701 ± 0.0158
353 23 3a 289.2493 ± 0.0176
353 24 3b 289.1951 ± 0.0159
353 32 4a 286.6167 ± 0.0155
353 33 4b 286.5976 ± 0.0161
353 53 5a 289.9808 ± 0.0157
353 54 5b 289.9004 ± 0.0161
353 63 6a 288.8151 ± 0.0190
353 64 6b 292.8348 ± 0.0179
353 45 7 285.3414 ± 0.0192
353 85 8 283.5120 ± 0.0177
353 353 avg 287.4517 ± 0.0061
545 14 1 57.0831 ± 0.0343
545 34 2 58.8825 ± 0.0320
545 55 3 57.8794 ± 0.0595
545 73 4 58.0595 ± 0.0368
545 545 avg 58.0356 ± 0.0199
857 25 1 2.1891 ± 0.0391
857 35 2 2.3457 ± 0.0323
857 65 3 2.2133 ± 0.0363
857 74 4 2.4022 ± 0.0402
857 857 avg 2.2681 ± 0.0188
Table ZZ: KCMB to ySZ unit conversion
Band (GHz) BC Det. U_C [K'_RJ_'/(MJy/sr)]
100 00 1a 0.0033 ± 0.0000
100 01 1b 0.0033 ± 0.0000
100 20 2a 0.0033 ± 0.0000
100 21 2b 0.0033 ± 0.0000
100 40 3a 0.0033 ± 0.0000
100 41 3b 0.0033 ± 0.0000
100 80 4a 0.0033 ± 0.0000
100 81 4b 0.0033 ± 0.0000
100 100 avg 0.0033 ± 0.0000
143 02 1a 0.0016 ± 0.0000
143 03 1b 0.0016 ± 0.0000
143 30 2a 0.0016 ± 0.0000
143 31 2b 0.0016 ± 0.0000
143 50 3a 0.0016 ± 0.0000
143 51 3b 0.0016 ± 0.0000
143 82 4a 0.0016 ± 0.0000
143 83 4b 0.0016 ± 0.0000
143 10 5 0.0016 ± 0.0000
143 42 6 0.0016 ± 0.0000
143 60 7 0.0016 ± 0.0000
143 70 8 0.0016 ± 0.0000
143 143 avg 0.0016 ± 0.0000
217 04 1 0.0007 ± 0.0000
217 22 2 0.0007 ± 0.0000
217 52 3 0.0007 ± 0.0000
217 84 4 0.0007 ± 0.0000
217 11 5a 0.0007 ± 0.0000
217 12 5b 0.0007 ± 0.0000
217 43 6a 0.0007 ± 0.0000
217 44 6b 0.0007 ± 0.0000
217 61 7a 0.0007 ± 0.0000
217 62 7b 0.0007 ± 0.0000
217 71 8a 0.0007 ± 0.0000
217 72 8b 0.0007 ± 0.0000
217 217 avg 0.0007 ± 0.0000
353 05 1 0.0003 ± 0.0000
353 13 2 0.0003 ± 0.0000
353 23 3a 0.0003 ± 0.0000
353 24 3b 0.0003 ± 0.0000
353 32 4a 0.0003 ± 0.0000
353 33 4b 0.0003 ± 0.0000
353 53 5a 0.0003 ± 0.0000
353 54 5b 0.0003 ± 0.0000
353 63 6a 0.0003 ± 0.0000
353 64 6b 0.0003 ± 0.0000
353 45 7 0.0003 ± 0.0000
353 85 8 0.0003 ± 0.0000
353 353 avg 0.0003 ± 0.0000
545 14 1 0.0001 ± 0.0000
545 34 2 0.0001 ± 0.0000
545 55 3 0.0001 ± 0.0000
545 73 4 0.0001 ± 0.0000
545 545 avg 0.0001 ± 0.0000
857 25 1 4.4315e-05 ± 0.0000
857 35 2 4.4315e-05 ± 0.0000
857 65 3 4.4315e-05 ± 0.0000
857 74 4 4.4315e-05 ± 0.0000
857 857 avg 4.4315e-05 ± 0.0000

Colour Correction, Powerlaw spectra[edit]

The following table presents colour correction coefficients for HFI (and LFI) detectors and bands. Following the table, plots are also included demonstrating the variation in colour correction coefficients within a frequency band, over a range of spectral indices.

Band (GHz) BC Det. U_C [y'_SZ_'/K'_CMB_']
100 00 1a -0.2461 ± 0.0001
100 01 1b -0.2470 ± 0.0001
100 20 2a -0.2483 ± 0.0001
100 21 2b -0.2480 ± 0.0001
100 40 3a -0.2487 ± 0.0001
100 41 3b -0.2469 ± 0.0001
100 80 4a -0.2491 ± 0.0001
100 81 4b -0.2492 ± 0.0001
100 100 avg -0.2481 ± 5.2679e-05
143 02 1a -0.3550 ± 0.0001
143 03 1b -0.3574 ± 0.0001
143 30 2a -0.3555 ± 0.0001
143 31 2b -0.3582 ± 0.0001
143 50 3a -0.3502 ± 0.0001
143 51 3b -0.3548 ± 0.0001
143 82 4a -0.3596 ± 0.0001
143 83 4b -0.3569 ± 0.0001
143 10 5 -0.3656 ± 0.0001
143 42 6 -0.3604 ± 0.0001
143 60 7 -0.3666 ± 0.0001
143 70 8 -0.3629 ± 0.0001
143 143 avg -0.3592 ± 4.2195e-05
217 04 1 4.3470 ± 0.0090
217 22 2 4.0275 ± 0.0081
217 52 3 4.1184 ± 0.0082
217 84 4 4.4334 ± 0.0094
217 11 5a 7.4840 ± 0.0288
217 12 5b 6.9766 ± 0.0244
217 43 6a 7.0507 ± 0.0249
217 44 6b 7.0169 ± 0.0249
217 61 7a 6.7975 ± 0.0228
217 62 7b 7.6995 ± 0.0307
217 71 8a 7.2564 ± 0.0273
217 72 8b 6.8621 ± 0.0231
217 217 avg 5.1531 ± 0.0042
353 05 1 0.1623 ± 1.7570e-05
353 13 2 0.1620 ± 1.7967e-05
353 23 3a 0.1623 ± 2.2104e-05
353 24 3b 0.1628 ± 1.8225e-05
353 32 4a 0.1589 ± 1.6673e-05
353 33 4b 0.1594 ± 1.7566e-05
353 53 5a 0.1645 ± 1.8971e-05
353 54 5b 0.1649 ± 1.9322e-05
353 63 6a 0.1630 ± 2.2397e-05
353 64 6b 0.1665 ± 2.1640e-05
353 45 7 0.1582 ± 2.4010e-05
353 85 8 0.1571 ± 1.8646e-05
353 353 avg 0.1611 ± 7.0587e-06
545 14 1 0.0688 ± 3.9623e-05
545 34 2 0.0696 ± 3.6313e-05
545 55 3 0.0690 ± 6.9471e-05
545 73 4 0.0690 ± 4.2375e-05
545 545 avg 0.0692 ± 2.2699e-05
857 25 1 0.0378 ± 0.0006
857 35 2 0.0382 ± 0.0004
857 65 3 0.0378 ± 0.0005
857 74 4 0.0382 ± 0.0005
857 857 avg 0.0380 ± 0.0003

Colour Correction, Modified Blackbody[edit]

This section will present colour correction coefficients relevant for a variety of dust spectra...

CO unit ocnversion[edit]

This section presents the CO unit conversion coefficcients.

CC Table
Band (GHz) BC Det. F'_CC_', S.I.: -2 -1 0 1 2
100 00 1a 0.9864 ± 0.0009 1 1.0055 ± 0.0009 1.0027 ± 0.0017 0.9918 ± 0.0025
100 01 1b 0.9925 ± 0.0009 1 0.9994 ± 0.0008 0.9908 ± 0.0017 0.9743 ± 0.0025
100 20 2a 0.9943 ± 0.0009 1 0.9963 ± 0.0009 0.9831 ± 0.0018 0.9606 ± 0.0027
100 21 2b 0.9929 ± 0.0010 1 0.9977 ± 0.0009 0.9860 ± 0.0019 0.9651 ± 0.0028
100 40 3a 0.9972 ± 0.0009 1 0.9933 ± 0.0009 0.9772 ± 0.0018 0.9523 ± 0.0027
100 41 3b 0.9887 ± 0.0009 1 1.0026 ± 0.0009 0.9964 ± 0.0017 0.9814 ± 0.0026
100 80 4a 0.9980 ± 0.0010 1 0.9923 ± 0.0009 0.9751 ± 0.0019 0.9486 ± 0.0028
100 81 4b 0.9995 ± 0.0009 1 0.9908 ± 0.0009 0.9722 ± 0.0018 0.9447 ± 0.0028
100 100 avg 0.9943 ± 0.0004 1 0.9964 ± 0.0004 0.9835 ± 0.0007 0.9617 ± 0.0011
143 02 1a 0.97263 ± 0.00024 1 1.01872 ± 0.00023 1.02801 ± 0.00045 1.02743 ± 0.00067
143 03 1b 0.97677 ± 0.00025 1 1.01443 ± 0.00024 1.01949 ± 0.00047 1.01492 ± 0.00069
143 30 2a 0.97272 ± 0.00026 1 1.01834 ± 0.00024 1.02703 ± 0.00047 1.02566 ± 0.00069
143 31 2b 0.97820 ± 0.00024 1 1.01294 ± 0.00022 1.01653 ± 0.00044 1.01056 ± 0.00065
143 50 3a 0.96420 ± 0.00026 1 1.02753 ± 0.00025 1.04577 ± 0.00048 1.05402 ± 0.00071
143 51 3b 0.97178 ± 0.00026 1 1.01941 ± 0.00024 1.02926 ± 0.00047 1.02918 ± 0.00069
143 82 4a 0.97836 ± 0.00025 1 1.01212 ± 0.00024 1.01421 ± 0.00047 1.00611 ± 0.00069
143 83 4b 0.97609 ± 0.00025 1 1.01513 ± 0.00023 1.02093 ± 0.00046 1.01721 ± 0.00068
143 10 5 0.99048 ± 0.00023 1 1.00048 ± 0.00022 0.99189 ± 0.00043 0.97451 ± 0.00064
143 42 6 0.98148 ± 0.00024 1 1.00943 ± 0.00023 1.00943 ± 0.00045 0.99996 ± 0.00067
143 60 7 0.99192 ± 0.00024 1 0.99900 ± 0.00023 0.98892 ± 0.00045 0.97009 ± 0.00067
143 70 8 0.98488 ± 0.00025 1 1.00574 ± 0.00024 1.00188 ± 0.00047 0.98858 ± 0.00069
143 143 avg 0.97935 ± 0.0000772811 1 1.01158 ± 0.0000731485 1.01364 ± 0.00014 1.00607 ± 0.00021
217 04 1 1.01104 ± 0.000054 1 0.98146 ± 0.000054 0.95584 ± 0.00011 0.92373 ± 0.00017
217 22 2 1.01214 ± 0.000056 1 0.97999 ± 0.000057 0.95264 ± 0.00012 0.91866 ± 0.00018
217 52 3 1.01277 ± 0.000054 1 0.97995 ± 0.000054 0.95309 ± 0.00011 0.92006 ± 0.00017
217 84 4 1.01091 ± 0.000053 1 0.98175 ± 0.000054 0.95655 ± 0.00011 0.92496 ± 0.00017
217 11 5a 0.99803 ± 0.000060 1 0.99318 ± 0.000059 0.97777 ± 0.00012 0.95421 ± 0.00018
217 12 5b 0.99929 ± 0.000059 1 0.99202 ± 0.000058 0.97559 ± 0.00012 0.95120 ± 0.00018
217 43 6a 0.99908 ± 0.000059 1 0.99220 ± 0.000058 0.97593 ± 0.00012 0.95167 ± 0.00018
217 44 6b 0.99907 ± 0.000059 1 0.99219 ± 0.000058 0.97592 ± 0.00012 0.95169 ± 0.00018
217 61 7a 1.00045 ± 0.000056 1 0.99121 ± 0.000055 0.97430 ± 0.00011 0.94973 ± 0.00017
217 62 7b 0.99824 ± 0.000059 1 0.99328 ± 0.000058 0.97826 ± 0.00012 0.95537 ± 0.00018
217 71 8a 0.99810 ± 0.000060 1 0.99293 ± 0.000059 0.97713 ± 0.00012 0.95308 ± 0.00018
217 72 8b 0.99984 ± 0.000057 1 0.99161 ± 0.000056 0.97493 ± 0.00011 0.95048 ± 0.00017
217 217 avg 1.00607 ± 0.000018 1 0.98586 ± 0.000018 0.96403 ± 0.000036 0.93508 ± 0.000055
353 05 1 1.00515 ± 0.000041 1 0.98729 ± 0.000041 0.96731 ± 0.000083 0.94058 ± 0.00013
353 13 2 1.00617 ± 0.000042 1 0.98602 ± 0.000043 0.96453 ± 0.000087 0.93604 ± 0.00013
353 23 3a 1.00498 ± 0.000052 1 0.98835 ± 0.000051 0.97024 ± 0.000100 0.94602 ± 0.00015
353 24 3b 1.00404 ± 0.000042 1 0.98875 ± 0.000043 0.97046 ± 0.000088 0.94549 ± 0.00014
353 32 4a 1.01332 ± 0.000040 1 0.98071 ± 0.000042 0.95573 ± 0.000085 0.92551 ± 0.00013
353 33 4b 1.01220 ± 0.000041 1 0.98127 ± 0.000043 0.95631 ± 0.000088 0.92561 ± 0.00014
353 53 5a 1.00016 ± 0.000043 1 0.99191 ± 0.000043 0.97608 ± 0.000088 0.95292 ± 0.00013
353 54 5b 0.99946 ± 0.000044 1 0.99213 ± 0.000044 0.97600 ± 0.000090 0.95198 ± 0.00014
353 63 6a 1.00364 ± 0.000052 1 0.98856 ± 0.000052 0.96957 ± 0.00011 0.94351 ± 0.00016
353 64 6b 0.99521 ± 0.000048 1 0.99812 ± 0.000049 0.98954 ± 0.000098 0.97439 ± 0.00015
353 45 7 1.01512 ± 0.000058 1 0.97828 ± 0.000056 0.95040 ± 0.00011 0.91695 ± 0.00017
353 85 8 1.01821 ± 0.000045 1 0.97446 ± 0.000047 0.94216 ± 0.000098 0.90384 ± 0.00016
353 353 avg 1.00811 ± 0.000016 1 0.98449 ± 0.000017 0.96190 ± 0.000034 0.93276 ± 0.000052
545 14 1 1.00706 ± 0.00018 1 0.98297 ± 0.00011 0.95694 ± 0.00017 0.92302 ± 0.00023
545 34 2 0.99997 ± 0.00016 1 0.98982 ± 0.000097 0.97015 ± 0.00016 0.94196 ± 0.00021
545 55 3 1.00355 ± 0.00031 1 0.98686 ± 0.00018 0.96491 ± 0.00029 0.93512 ± 0.00037
545 73 4 1.00276 ± 0.00019 1 0.98774 ± 0.00011 0.96673 ± 0.00018 0.93790 ± 0.00023
545 545 avg 1.00316 ± 0.000100 1 0.98693 ± 0.000060 0.96474 ± 0.000100 0.93445 ± 0.00013
857 25 1 0.9864 ± 0.0009 1 1.0055 ± 0.0009 1.0027 ± 0.0017 0.9918 ± 0.0025
857 35 2 0.9925 ± 0.0009 1 0.9994 ± 0.0008 0.9908 ± 0.0017 0.9743 ± 0.0025
857 65 3 0.9943 ± 0.0009 1 0.9963 ± 0.0009 0.9831 ± 0.0018 0.9606 ± 0.0027
857 74 4 0.9929 ± 0.0010 1 0.9977 ± 0.0009 0.9860 ± 0.0019 0.9651 ± 0.0028
857 857 avg 0.9972 ± 0.0009 1 0.9933 ± 0.0009 0.9772 ± 0.0018 0.9523 ± 0.0027
Title
Band (GHz) BC Det. CO line F'_12CO_' [uK'_CMB_'/K'_RJ_'km/s] F'_13CO_' [uK'_CMB_'/K'_RJ_'km/s]
100 00 1a J1-0 10.87 ± 0.29 16.96 ± 0.75
100 01 1b J1-0 12.61 ± 0.27 16.40 ± 0.71
100 20 2a J1-0 14.69 ± 0.50 14.08 ± 0.61
100 21 2b J1-0 12.01 ± 0.39 17.50 ± 0.63
100 40 3a J1-0 16.36 ± 0.57 14.52 ± 0.64
100 41 3b J1-0 11.78 ± 0.48 13.78 ± 0.51
100 80 4a J1-0 19.09 ± 0.63 18.64 ± 0.79
100 81 4b J1-0 16.11 ± 0.57 17.57 ± 0.80
100 100 avg J1-0 14.78 ± 0.21 15.55 ± 0.26
143 02 1a J1-0 0.0613 ± 0.0031 0.0022 ± 5.0163e-05
143 03 1b J1-0 0.0437 ± 0.0022 0.0017 ± 5.5805e-05
143 30 2a J1-0 0.0523 ± 0.0027 0.0020 ± 0.0001
143 31 2b J1-0 0.0557 ± 0.0028 0.0022 ± 0.0001
143 50 3a J1-0 0.0881 ± 0.0045 0.0030 ± 2.3871e-05
143 51 3b J1-0 0.0737 ± 0.0036 0.0023 ± 0.0001
143 82 4a J1-0 0.0489 ± 0.0024 0.0018 ± 8.9210e-05
143 83 4b J1-0 0.0493 ± 0.0024 0.0019 ± 9.4426e-05
143 10 5 J1-0 0.0210 ± 0.0012 0.0012 ± 0.0001
143 42 6 J1-0 0.0579 ± 0.0029 0.0020 ± 0.0003
143 60 7 J1-0 0.0099 ± 0.0005 0.0005 ± 2.4544e-05
143 70 8 J1-0 0.0404 ± 0.0023 0.0018 ± 8.5655e-05
143 143 avg J1-0 0.0470 ± 0.0008 0.0018 ± 4.4951e-05
143 02 1a J2-1 0.0 ± 0.0 0.0 ± 0.0
143 03 1b J2-1 0.0 ± 0.0 0.0 ± 0.0
143 30 2a J2-1 0.0 ± 0.0 0.0 ± 0.0
143 31 2b J2-1 0.0 ± 0.0 0.0 ± 0.0
143 50 3a J2-1 0.0 ± 0.0 0.0 ± 0.0
143 51 3b J2-1 0.0 ± 0.0 0.0 ± 0.0
143 82 4a J2-1 0.0 ± 0.0 0.0 ± 0.0
143 83 4b J2-1 0.0 ± 0.0 0.0 ± 0.0
143 10 5 J2-1 0.0 ± 0.0 0.0 ± 0.0
143 42 6 J2-1 0.0 ± 0.0 0.0 ± 0.0
143 60 7 J2-1 0.0 ± 0.0 0.0 ± 0.0
143 70 8 J2-1 0.0 ± 0.0 0.0 ± 0.0
143 143 avg J2-1 0.0 ± 0.0 0.0 ± 0.0
217 04 1 J2-1 50.22 ± 0.36 34.42 ± 0.21
217 22 2 J2-1 42.47 ± 0.30 32.73 ± 0.21
217 52 3 J2-1 51.23 ± 0.35 37.37 ± 0.23
217 84 4 J2-1 47.75 ± 0.35 30.87 ± 0.19
217 11 5a J2-1 43.97 ± 0.29 35.85 ± 0.22
217 12 5b J2-1 43.68 ± 0.34 38.54 ± 0.22
217 43 6a J2-1 38.92 ± 0.30 41.21 ± 0.25
217 44 6b J2-1 40.75 ± 0.36 33.33 ± 0.21
217 61 7a J2-1 45.50 ± 0.31 41.57 ± 0.26
217 62 7b J2-1 43.58 ± 0.29 33.19 ± 0.20
217 71 8a J2-1 45.30 ± 0.31 41.48 ± 0.25
217 72 8b J2-1 41.78 ± 0.31 34.16 ± 0.21
217 217 avg J2-1 45.85 ± 0.11 35.37 ± 0.07
353 05 1 J3-2 170.3 ± 1.3 82.5 ± 0.4
353 13 2 J3-2 174.0 ± 1.3 130.8 ± 0.7
353 23 3a J3-2 185.4 ± 1.6 133.3 ± 0.8
353 24 3b J3-2 200.7 ± 1.5 166.6 ± 0.9
353 32 4a J3-2 172.9 ± 1.4 121.0 ± 0.7
353 33 4b J3-2 140.9 ± 1.3 125.2 ± 0.7
353 53 5a J3-2 150.3 ± 1.2 138.1 ± 0.7
353 54 5b J3-2 159.8 ± 1.1 143.9 ± 0.8
353 63 6a J3-2 148.9 ± 1.2 143.0 ± 0.9
353 64 6b J3-2 166.4 ± 1.5 167.1 ± 1.0
353 45 7 J3-2 196.9 ± 1.4 110.9 ± 0.6
353 85 8 J3-2 185.3 ± 1.4 99.9 ± 0.6
353 353 avg J3-2 175.1 ± 0.5 117.1 ± 0.2
545 14 1 J4-3 256.5 ± 2.5 47.8 ± 0.9
545 34 2 J4-3 268.3 ± 2.4 83.9 ± 1.0
545 55 3 J4-3 258.3 ± 3.2 59.7 ± 1.7
545 73 4 J4-3 230.7 ± 2.4 35.5 ± 1.1
545 545 avg J4-3 252.5 ± 1.4 56.9 ± 0.6
545 14 1 J5-4 2216.1 ± 11.8 1144.5 ± 6.3
545 34 2 J5-4 2281.8 ± 12.3 1422.4 ± 7.6
545 55 3 J5-4 2349.2 ± 13.4 1845.6 ± 10.4
545 73 4 J5-4 2473.6 ± 13.7 1492.2 ± 8.1
545 545 avg J5-4 2322.2 ± 7.3 1356.1 ± 4.3
857 25 1 J6-5 7794.4 ± 160.0 3264.7 ± 81.0
857 35 2 J6-5 6702.0 ± 111.9 1700.5 ± 43.7
857 65 3 J6-5 6978.7 ± 144.5 1417.9 ± 60.8
857 74 4 J6-5 7565.4 ± 145.4 1439.8 ± 57.3
857 857 avg J6-5 7217.3 ± 71.4 2016.6 ± 30.4
857 25 1 J7-6 72291.9 ± 1440.7 61488.8 ± 1186.4
857 35 2 J7-6 62775.8 ± 995.9 64156.9 ± 969.1
857 65 3 J7-6 82316.7 ± 1523.9 57721.9 ± 1029.5
857 74 4 J7-6 87556.9 ± 1619.8 63467.8 ± 1119.9
857 857 avg J7-6 74876.2 ± 694.6 61406.7 ± 545.5
857 25 1 J8-7 168443.0 ± 3337.6 136686.1 ± 2671.9
857 35 2 J8-7 145623.5 ± 2313.6 117751.3 ± 1825.7
857 65 3 J8-7 154861.1 ± 2861.8 126685.2 ± 2320.6
857 74 4 J8-7 125207.4 ± 2288.6 123683.8 ± 2230.9
857 857 avg J8-7 151726.7 ± 1398.9 126570.5 ± 1151.8
857 25 1 J9-8 4941.8 ± 242.8 102261.9 ± 2036.6
857 35 2 J9-8 5619.9 ± 238.2 80172.8 ± 1263.2
857 65 3 J9-8 6897.2 ± 301.2 100933.8 ± 1853.0
857 74 4 J9-8 144.7 ± 232.1 51734.0 ± 988.8
857 857 avg J9-8 4998.3 ± 131.9 88290.3 ± 821.8

(Planck) High Frequency Instrument

(Planck) Low Frequency Instrument

Planck Legacy Archive

Cosmic Microwave background

Sunyaev-Zel'dovich

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