Difference between revisions of "Spectral response"

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=== Colour Correction, Modified Blackbody ===
 
=== Colour Correction, Modified Blackbody ===
  
This section will present colour correction coefficients relevant for a variety of dust spectra...
+
This section presents colour correction coefficients for a variety of modified blackbody spectral profiles.  A sample CIB spectrum, with <math>T=13.6 K, \beta=1.4</math>, is chosen as one example.  Three other examples are selected based on the variety of dust spectra used in typical HFI analysis.  The first dust profile is <math>T=18 K, \beta=1.6</math>, the second is <math>T=17 K, \beta=1.5</math>, and the third (taken from the LMC region FIXME) is <math>T=21 K, \beta=1.48</math>. Also shown are plots for a modified blackbody spectrum spanning a selection of the temperature/beta parameter space.
  
 
=== CO unit conversion ===
 
=== CO unit conversion ===

Revision as of 14:01, 19 February 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 1: MJy/sr/KCMB and ySZ/KCMB unit conversion coefficients.
Band/Det. [GHz] U_C [MJy/sr/KCMB] U_C [ySZ/KCMB]
100-1a 238.2871 ± 0.7140 -0.24612 ± 0.00017
100-1b 241.8530 ± 0.6979 -0.24703 ± 0.00017
100-2a 244.2375 ± 0.7505 -0.24829 ± 0.00018
100-2b 243.3572 ± 0.7935 -0.24798 ± 0.00019
100-3a 246.0715 ± 0.7465 -0.24873 ± 0.00018
100-3b 240.1739 ± 0.7341 -0.24690 ± 0.00018
100-4a 246.7316 ± 0.7949 -0.24906 ± 0.00020
100-4b 247.6289 ± 0.7693 -0.24924 ± 0.00019
100-avg 244.0960 ± 0.3050 -0.24814 ± 0.0000741350
100-detset1 244.8649 ± 0.4196 -0.24833 ± 0.00010
100-detset2 243.7737 ± 0.3926 -0.24807 ± 0.0000950688
143-1a 366.4108 ± 0.2459 -0.35501 ± 0.00019
143-1b 369.5905 ± 0.2540 -0.35735 ± 0.00019
143-2a 366.7249 ± 0.2540 -0.35551 ± 0.00019
143-2b 370.7001 ± 0.2386 -0.35818 ± 0.00018
143-3a 360.0418 ± 0.2676 -0.35015 ± 0.00020
143-3b 365.9529 ± 0.2608 -0.35477 ± 0.00020
143-4a 371.3469 ± 0.2532 -0.35965 ± 0.00019
143-4b 369.0953 ± 0.2502 -0.35685 ± 0.00019
143-5 380.1162 ± 0.2340 -0.36557 ± 0.00018
143-6 373.3413 ± 0.2492 -0.36038 ± 0.00019
143-7 381.2511 ± 0.2467 -0.36660 ± 0.00019
143-8 376.1461 ± 0.2535 -0.36293 ± 0.00019
143-avg 371.7327 ± 0.0784 -0.35922 ± 0.0000594035
143-detset1 365.0304 ± 0.1332 -0.35398 ± 0.00010
143-detset2 369.3005 ± 0.1289 -0.35743 ± 0.0000969068
143-SWBs 378.5797 ± 0.1434 -0.36446 ± 0.00011
217-1 486.0322 ± 0.0359 4.34709 ± 0.01285
217-2 486.4008 ± 0.0373 4.02758 ± 0.01148
217-3 486.8924 ± 0.0363 4.11836 ± 0.01159
217-4 486.0164 ± 0.0350 4.43344 ± 0.01332
217-5a 479.8049 ± 0.0404 7.48401 ± 0.04083
217-5b 480.4364 ± 0.0396 6.97673 ± 0.03451
217-6a 480.3416 ± 0.0392 7.05081 ± 0.03492
217-6b 480.3544 ± 0.0397 7.01686 ± 0.03471
217-7a 481.0486 ± 0.0375 6.79755 ± 0.03214
217-7b 480.0012 ± 0.0397 7.69946 ± 0.04288
217-8a 479.8096 ± 0.0408 7.25645 ± 0.03840
217-8b 480.7686 ± 0.0386 6.86218 ± 0.03259
217-avg 483.6874 ± 0.0118 5.15309 ± 0.00592
217-detset1 480.3600 ± 0.0198 7.21293 ± 0.01879
217-detset2 480.3136 ± 0.0202 7.04561 ± 0.01783
217-SWBs 486.3306 ± 0.0181 4.23605 ± 0.00619
353-1 288.4183 ± 0.0212 0.16229 ± 0.0000249067
353-2 287.8701 ± 0.0223 0.16198 ± 0.0000253799
353-3a 289.2493 ± 0.0248 0.16231 ± 0.0000313162
353-3b 289.1951 ± 0.0226 0.16283 ± 0.0000259493
353-4a 286.6167 ± 0.0223 0.15887 ± 0.0000239865
353-4b 286.5976 ± 0.0229 0.15939 ± 0.0000249209
353-5a 289.9808 ± 0.0222 0.16446 ± 0.0000267670
353-5b 289.9004 ± 0.0229 0.16489 ± 0.0000272856
353-6a 288.8151 ± 0.0276 0.16299 ± 0.0000323775
353-6b 292.8348 ± 0.0251 0.16654 ± 0.0000304403
353-7 285.3414 ± 0.0273 0.15816 ± 0.0000340767
353-8 283.5120 ± 0.0248 0.15709 ± 0.0000261476
353-avg 287.4517 ± 0.0085 0.16110 ± 0.00000987580
353-detset1 289.6204 ± 0.0116 0.16376 ± 0.0000139126
353-detset2 287.9671 ± 0.0123 0.16090 ± 0.0000137521
353-SWBs 286.7861 ± 0.0120 0.16046 ± 0.0000138705
545-1 57.0831 ± 0.0489 0.06881 ± 0.0000563911
545-2 58.8825 ± 0.0457 0.06963 ± 0.0000516856
545-3 57.8794 ± 0.0858 0.06900 ± 0.00010
545-4 58.0595 ± 0.0515 0.06905 ± 0.0000591782
545-avg 58.0356 ± 0.0278 0.06918 ± 0.0000317698
545-detset1 58.0243 ± 0.0337 0.06924 ± 0.0000385529
545-detset2 58.0595 ± 0.0513 0.06905 ± 0.0000587272
857-1 2.1891 ± 0.0565 0.03784 ± 0.00083
857-2 2.3457 ± 0.0453 0.03816 ± 0.00062
857-3 2.2133 ± 0.0516 0.03785 ± 0.00075
857-4 2.4022 ± 0.0568 0.03818 ± 0.00076
857-avg 2.2681 ± 0.0270 0.03798 ± 0.00038
857-detset1 2.2643 ± 0.0356 0.03800 ± 0.00050
857-detset2 2.2730 ± 0.0401 0.03796 ± 0.00057

The unit conversion from MJy/sr to K_RJ (i.e. Tb) does not depend on the spectrum, so is the same across each frequency band.

Table 2: MJy/sr to Tb unit conversion.
Band (GHz) U_C [KRJ/(MJy/sr)]
100 0.0032548074
143 0.0015916707
217 0.00069120334
353 0.00026120163
545 0.00010958025
857 4.4316316e-05

Colour Correction, Powerlaw spectra[edit]

The following table presents colour correction coefficients for HFI (and LFI...TBD) detectors and bands. A subsequent table presents the colour corrections in terms of effective frequencies. Plots are also included demonstrating the variation in colour correction coefficients within a frequency band, over a range of spectral indices.


Table 3: Powerlaw / Spectral Index Colour Correction Coefficient Table

Band/Det. [GHz] FCC, S.I.: -4 -3 -2 -1 0 1 2 3 4
100-1a 0.93682 ± 0.00288 0.96513 ± 0.00194 0.98641 ± 0.00099 1 1.00548 ± 0.00099 1.00273 ± 0.00196 0.99180 ± 0.00289 0.97303 ± 0.00370 0.94693 ± 0.00439
100-1b 0.95469 ± 0.00359 0.97726 ± 0.00242 0.99252 ± 0.00121 1 0.99943 ± 0.00123 0.99080 ± 0.00236 0.97434 ± 0.00341 0.95048 ± 0.00433 0.91979 ± 0.00509
100-2a 0.95668 ± 0.00383 0.97967 ± 0.00259 0.99434 ± 0.00134 1 0.99626 ± 0.00131 0.98305 ± 0.00253 0.96064 ± 0.00361 0.92957 ± 0.00461 0.89055 ± 0.00535
100-2b 0.95213 ± 0.00378 0.97672 ± 0.00257 0.99289 ± 0.00128 1 0.99770 ± 0.00128 0.98597 ± 0.00250 0.96514 ± 0.00364 0.93578 ± 0.00466 0.89865 ± 0.00546
100-3a 0.96441 ± 0.00408 0.98520 ± 0.00275 0.99724 ± 0.00136 1 0.99327 ± 0.00129 0.97721 ± 0.00246 0.95227 ± 0.00347 0.91919 ± 0.00442 0.87887 ± 0.00508
100-3b 0.94194 ± 0.00321 0.96907 ± 0.00221 0.98866 ± 0.00111 1 1.00264 ± 0.00108 0.99640 ± 0.00210 0.98139 ± 0.00304 0.95797 ± 0.00390 0.92666 ± 0.00466
100-4a 0.96623 ± 0.00420 0.98652 ± 0.00283 0.99797 ± 0.00140 1 0.99234 ± 0.00135 0.97507 ± 0.00256 0.94864 ± 0.00364 0.91377 ± 0.00452 0.87135 ± 0.00521
100-4b 0.97085 ± 0.00368 0.98965 ± 0.00250 0.99955 ± 0.00125 1 0.99084 ± 0.00122 0.97224 ± 0.00234 0.94472 ± 0.00335 0.90909 ± 0.00422 0.86633 ± 0.00491
100-avg 0.95684 ± 0.00145 0.97975 ± 0.00099 0.99434 ± 0.00050 1 0.99640 ± 0.00049 0.98354 ± 0.00095 0.96174 ± 0.00136 0.93158 ± 0.00172 0.89381 ± 0.00204
100-detset1 0.96096 ± 0.00206 0.98250 ± 0.00142 0.99571 ± 0.00071 1 0.99510 ± 0.00068 0.98104 ± 0.00132 0.95818 ± 0.00188 0.92713 ± 0.00237 0.88868 ± 0.00275
100-detset2 0.95512 ± 0.00162 0.97860 ± 0.00109 0.99377 ± 0.00055 1 0.99694 ± 0.00054 0.98459 ± 0.00104 0.96324 ± 0.00148 0.93345 ± 0.00189 0.89598 ± 0.00220
143-1a 0.89624 ± 0.00086 0.93764 ± 0.00060 0.97263 ± 0.00031 1 1.01872 ± 0.00032 1.02801 ± 0.00063 1.02743 ± 0.00093 1.01688 ± 0.00121 0.99662 ± 0.00145
143-1b 0.90754 ± 0.00096 0.94559 ± 0.00067 0.97677 ± 0.00034 1 1.01443 ± 0.00036 1.01949 ± 0.00071 1.01492 ± 0.00104 1.00082 ± 0.00131 0.97759 ± 0.00158
143-2a 0.89562 ± 0.00093 0.93752 ± 0.00064 0.97272 ± 0.00033 1 1.01834 ± 0.00034 1.02703 ± 0.00067 1.02566 ± 0.00099 1.01422 ± 0.00129 0.99300 ± 0.00154
143-2b 0.91137 ± 0.00092 0.94831 ± 0.00063 0.97820 ± 0.00032 1 1.01294 ± 0.00032 1.01653 ± 0.00064 1.01056 ± 0.00094 0.99516 ± 0.00119 0.97074 ± 0.00143
143-3a 0.87293 ± 0.00080 0.92137 ± 0.00059 0.96420 ± 0.00031 1 1.02753 ± 0.00033 1.04577 ± 0.00069 1.05402 ± 0.00104 1.05201 ± 0.00138 1.03976 ± 0.00168
143-3b 0.89320 ± 0.00098 0.93577 ± 0.00068 0.97178 ± 0.00035 1 1.01941 ± 0.00037 1.02926 ± 0.00073 1.02918 ± 0.00106 1.01915 ± 0.00137 0.99948 ± 0.00167
143-4a 0.91028 ± 0.00088 0.94808 ± 0.00061 0.97836 ± 0.00031 1 1.01212 ± 0.00031 1.01421 ± 0.00061 1.00611 ± 0.00089 0.98805 ± 0.00113 0.96062 ± 0.00131
143-4b 0.90552 ± 0.00080 0.94424 ± 0.00056 0.97609 ± 0.00029 1 1.01513 ± 0.00029 1.02093 ± 0.00058 1.01721 ± 0.00085 1.00405 ± 0.00108 0.98188 ± 0.00129
143-5 0.94591 ± 0.00084 0.97224 ± 0.00057 0.99048 ± 0.00028 1 1.00048 ± 0.00028 0.99189 ± 0.00054 0.97451 ± 0.00078 0.94888 ± 0.00099 0.91575 ± 0.00116
143-6 0.92007 ± 0.00087 0.95452 ± 0.00060 0.98148 ± 0.00031 1 1.00943 ± 0.00031 1.00943 ± 0.00061 0.99996 ± 0.00089 0.98129 ± 0.00112 0.95395 ± 0.00133
143-7 0.95005 ± 0.00101 0.97507 ± 0.00068 0.99192 ± 0.00034 1 0.99900 ± 0.00033 0.98892 ± 0.00064 0.97009 ± 0.00092 0.94312 ± 0.00115 0.90883 ± 0.00134
143-8 0.92905 ± 0.00106 0.96094 ± 0.00070 0.98488 ± 0.00036 1 1.00574 ± 0.00035 1.00188 ± 0.00068 0.98858 ± 0.00098 0.96627 ± 0.00124 0.93573 ± 0.00138
143-avg 0.91412 ± 0.00031 0.95038 ± 0.00022 0.97935 ± 0.00011 1 1.01158 ± 0.00011 1.01364 ± 0.00022 1.00607 ± 0.00033 0.98907 ± 0.00042 0.96318 ± 0.00050
143-detset1 0.89061 ± 0.00043 0.93382 ± 0.00029 0.97071 ± 0.00015 1 1.02064 ± 0.00016 1.03182 ± 0.00031 1.03309 ± 0.00046 1.02433 ± 0.00060 1.00580 ± 0.00072
143-detset2 0.90504 ± 0.00052 0.94409 ± 0.00036 0.97612 ± 0.00018 1 1.01485 ± 0.00019 1.02009 ± 0.00038 1.01547 ± 0.00056 1.00108 ± 0.00071 0.97735 ± 0.00085
143-SWBs 0.93980 ± 0.00051 0.96809 ± 0.00034 0.98839 ± 0.00017 1 1.00250 ± 0.00017 0.99578 ± 0.00033 0.98006 ± 0.00048 0.95582 ± 0.00060 0.92382 ± 0.00070
217-1 1.01001 ± 0.00025 1.01437 ± 0.00017 1.01104 ± 0.0000834464 1 0.98146 ± 0.0000802765 0.95584 ± 0.00015 0.92373 ± 0.00022 0.88587 ± 0.00029 0.84309 ± 0.00035
217-2 1.01196 ± 0.00025 1.01614 ± 0.00017 1.01214 ± 0.0000851931 1 0.97999 ± 0.0000817160 0.95264 ± 0.00016 0.91866 ± 0.00023 0.87891 ± 0.00029 0.83436 ± 0.00034
217-3 1.01558 ± 0.00024 1.01798 ± 0.00016 1.01277 ± 0.0000788117 1 0.97995 ± 0.0000739414 0.95309 ± 0.00014 0.92006 ± 0.00019 0.88163 ± 0.00024 0.83866 ± 0.00028
217-4 1.01024 ± 0.00024 1.01432 ± 0.00016 1.01091 ± 0.0000810166 1 0.98175 ± 0.0000769260 0.95655 ± 0.00015 0.92496 ± 0.00021 0.88767 ± 0.00028 0.84549 ± 0.00033
217-5a 0.96844 ± 0.00026 0.98738 ± 0.00017 0.99803 ± 0.0000873238 1 0.99318 ± 0.0000845567 0.97777 ± 0.00016 0.95421 ± 0.00025 0.92318 ± 0.00032 0.88554 ± 0.00038
217-5b 0.97226 ± 0.00025 0.98994 ± 0.00017 0.99929 ± 0.0000838219 1 0.99202 ± 0.0000817184 0.97559 ± 0.00015 0.95120 ± 0.00022 0.91956 ± 0.00029 0.88156 ± 0.00034
217-6a 0.97150 ± 0.00026 0.98947 ± 0.00017 0.99908 ± 0.0000848909 1 0.99220 ± 0.0000806513 0.97593 ± 0.00016 0.95167 ± 0.00022 0.92012 ± 0.00028 0.88214 ± 0.00034
217-6b 0.97137 ± 0.00025 0.98943 ± 0.00017 0.99907 ± 0.0000817547 1 0.99219 ± 0.0000785606 0.97592 ± 0.00015 0.95169 ± 0.00022 0.92028 ± 0.00028 0.88257 ± 0.00033
217-7a 0.97678 ± 0.00025 0.99261 ± 0.00017 1.00045 ± 0.0000844965 1 0.99121 ± 0.0000835118 0.97430 ± 0.00016 0.94973 ± 0.00024 0.91817 ± 0.00031 0.88046 ± 0.00036
217-7b 0.96993 ± 0.00028 0.98809 ± 0.00019 0.99824 ± 0.0000955820 1 0.99328 ± 0.0000937668 0.97826 ± 0.00018 0.95537 ± 0.00026 0.92529 ± 0.00034 0.88885 ± 0.00040
217-8a 0.96801 ± 0.00027 0.98732 ± 0.00018 0.99810 ± 0.0000897456 1 0.99293 ± 0.0000858414 0.97713 ± 0.00017 0.95308 ± 0.00024 0.92152 ± 0.00030 0.88334 ± 0.00035
217-8b 0.97414 ± 0.00025 0.99113 ± 0.00016 0.99984 ± 0.0000788191 1 0.99161 ± 0.0000743292 0.97493 ± 0.00014 0.95048 ± 0.00020 0.91897 ± 0.00026 0.88126 ± 0.00031
217-avg 0.99378 ± 0.0000785663 1.00396 ± 0.0000523738 1.00607 ± 0.0000260772 1 0.98586 ± 0.0000247535 0.96403 ± 0.0000479011 0.93508 ± 0.0000688582 0.89977 ± 0.0000880719 0.85897 ± 0.00011
217-detset1 0.97210 ± 0.00011 0.98965 ± 0.0000713085 0.99907 ± 0.0000353487 1 0.99238 ± 0.0000335890 0.97642 ± 0.0000652875 0.95257 ± 0.0000978708 0.92152 ± 0.00013 0.88411 ± 0.00015
217-detset2 0.97122 ± 0.00013 0.98931 ± 0.0000871706 0.99901 ± 0.0000428016 1 0.99224 ± 0.0000412200 0.97599 ± 0.0000788817 0.95175 ± 0.00011 0.92024 ± 0.00014 0.88235 ± 0.00017
217-SWBs 1.01193 ± 0.00012 1.01566 ± 0.0000800628 1.01169 ± 0.0000388802 1 0.98083 ± 0.0000361511 0.95463 ± 0.0000686221 0.92201 ± 0.0000982270 0.88375 ± 0.00012 0.84069 ± 0.00015
353-1 0.99265 ± 0.00018 1.00266 ± 0.00012 1.00515 ± 0.0000594589 1 0.98729 ± 0.0000604515 0.96731 ± 0.00012 0.94058 ± 0.00017 0.90776 ± 0.00022 0.86965 ± 0.00027
353-2 0.99512 ± 0.00017 1.00448 ± 0.00012 1.00617 ± 0.0000594070 1 0.98602 ± 0.0000597532 0.96453 ± 0.00012 0.93604 ± 0.00018 0.90128 ± 0.00023 0.86111 ± 0.00028
353-3a 0.99494 ± 0.00021 1.00325 ± 0.00014 1.00498 ± 0.0000678294 1 0.98835 ± 0.0000641818 0.97024 ± 0.00012 0.94602 ± 0.00018 0.91620 ± 0.00023 0.88141 ± 0.00027
353-3b 0.99080 ± 0.00019 1.00090 ± 0.00013 1.00404 ± 0.0000629728 1 0.98875 ± 0.0000628625 0.97046 ± 0.00012 0.94549 ± 0.00018 0.91438 ± 0.00024 0.87780 ± 0.00028
353-4a 1.02156 ± 0.00017 1.02051 ± 0.00011 1.01332 ± 0.0000564405 1 0.98071 ± 0.0000532408 0.95573 ± 0.00010 0.92551 ± 0.00015 0.89056 ± 0.00019 0.85151 ± 0.00023
353-4b 1.01654 ± 0.00017 1.01770 ± 0.00011 1.01220 ± 0.0000572407 1 0.98127 ± 0.0000555070 0.95631 ± 0.00011 0.92561 ± 0.00016 0.88977 ± 0.00021 0.84951 ± 0.00025
353-5a 0.97711 ± 0.00018 0.99243 ± 0.00012 1.00016 ± 0.0000622265 1 0.99191 ± 0.0000608773 0.97608 ± 0.00012 0.95292 ± 0.00017 0.92307 ± 0.00022 0.88730 ± 0.00027
353-5b 0.97399 ± 0.00017 0.99066 ± 0.00011 0.99946 ± 0.0000586789 1 0.99213 ± 0.0000593907 0.97600 ± 0.00012 0.95198 ± 0.00017 0.92072 ± 0.00023 0.88306 ± 0.00028
353-6a 0.98767 ± 0.00023 0.99946 ± 0.00015 1.00364 ± 0.0000772503 1 0.98856 ± 0.0000760724 0.96957 ± 0.00015 0.94351 ± 0.00021 0.91103 ± 0.00027 0.87296 ± 0.00032
353-6b 0.96654 ± 0.00018 0.98394 ± 0.00013 0.99521 ± 0.0000644428 1 0.99812 ± 0.0000660710 0.98954 ± 0.00013 0.97439 ± 0.00019 0.95298 ± 0.00025 0.92575 ± 0.00030
353-7 1.02464 ± 0.00025 1.02337 ± 0.00016 1.01512 ± 0.0000779731 1 0.97828 ± 0.0000705538 0.95040 ± 0.00013 0.91695 ± 0.00019 0.87863 ± 0.00024 0.83621 ± 0.00028
353-8 1.03140 ± 0.00019 1.02872 ± 0.00013 1.01821 ± 0.0000632902 1 0.97446 ± 0.0000592252 0.94216 ± 0.00011 0.90384 ± 0.00017 0.86040 ± 0.00022 0.81279 ± 0.00026
353-avg 1.00188 ± 0.0000658139 1.00871 ± 0.0000438094 1.00811 ± 0.0000218270 1 0.98449 ± 0.0000211618 0.96190 ± 0.0000415137 0.93276 ± 0.0000608539 0.89776 ± 0.0000792146 0.85770 ± 0.0000959851
353-detset1 0.98298 ± 0.0000936819 0.99609 ± 0.0000621384 1.00185 ± 0.0000308546 1 0.99050 ± 0.0000300180 0.97352 ± 0.0000583752 0.94945 ± 0.0000846421 0.91889 ± 0.00011 0.88255 ± 0.00013
353-detset2 1.00524 ± 0.0000866191 1.01017 ± 0.0000579534 1.00845 ± 0.0000287729 1 0.98491 ± 0.0000278577 0.96343 ± 0.0000549193 0.93598 ± 0.0000788256 0.90310 ± 0.00010 0.86548 ± 0.00012
353-SWBs 1.00622 ± 0.0000959204 1.01174 ± 0.0000636195 1.00968 ± 0.0000312227 1 0.98285 ± 0.0000296202 0.95863 ± 0.0000571017 0.92789 ± 0.0000840579 0.89139 ± 0.00011 0.84997 ± 0.00013
545-1 0.98835 ± 0.00159 1.00344 ± 0.00071 1.00706 ± 0.00025 1 0.98297 ± 0.00014 0.95694 ± 0.00022 0.92302 ± 0.00026 0.88254 ± 0.00028 0.83687 ± 0.00028
545-2 0.96725 ± 0.00144 0.98922 ± 0.00066 0.99997 ± 0.00024 1 0.98982 ± 0.00013 0.97015 ± 0.00021 0.94196 ± 0.00027 0.90642 ± 0.00030 0.86485 ± 0.00032
545-3 0.97954 ± 0.00251 0.99694 ± 0.00116 1.00355 ± 0.00042 1 0.98686 ± 0.00023 0.96491 ± 0.00037 0.93512 ± 0.00044 0.89862 ± 0.00048 0.85665 ± 0.00050
545-4 0.97758 ± 0.00160 0.99548 ± 0.00074 1.00276 ± 0.00026 1 0.98774 ± 0.00015 0.96673 ± 0.00023 0.93790 ± 0.00027 0.90233 ± 0.00030 0.86123 ± 0.00031
545-avg 0.97732 ± 0.00079 0.99580 ± 0.00036 1.00316 ± 0.00013 1 0.98693 ± 0.0000723637 0.96474 ± 0.00011 0.93445 ± 0.00014 0.89725 ± 0.00016 0.85444 ± 0.00017
545-detset1 0.97720 ± 0.00106 0.99595 ± 0.00048 1.00335 ± 0.00017 1 0.98654 ± 0.0000918247 0.96380 ± 0.00014 0.93283 ± 0.00018 0.89487 ± 0.00019 0.85128 ± 0.00019
545-detset2 0.97758 ± 0.00156 0.99548 ± 0.00072 1.00276 ± 0.00026 1 0.98774 ± 0.00015 0.96673 ± 0.00024 0.93790 ± 0.00029 0.90233 ± 0.00032 0.86123 ± 0.00034
857-1 0.94232 ± 0.00807 0.97298 ± 0.00275 0.99165 ± 0.00075 1 0.99868 ± 0.00029 0.98825 ± 0.00039 0.96944 ± 0.00043 0.94315 ± 0.00044 0.91042 ± 0.00044
857-2 0.92120 ± 0.00664 0.95863 ± 0.00231 0.98447 ± 0.00064 1 1.00554 ± 0.00026 1.00139 ± 0.00036 0.98809 ± 0.00041 0.96642 ± 0.00043 0.93735 ± 0.00043
857-3 0.93838 ± 0.00745 0.97023 ± 0.00251 0.99024 ± 0.00069 1 1.00004 ± 0.00026 0.99089 ± 0.00036 0.97321 ± 0.00040 0.94789 ± 0.00041 0.91594 ± 0.00041
857-4 0.90936 ± 0.00683 0.94964 ± 0.00235 0.97945 ± 0.00065 1 1.01152 ± 0.00026 1.01417 ± 0.00035 1.00831 ± 0.00040 0.99445 ± 0.00042 0.97334 ± 0.00043
857-avg 0.93070 ± 0.00379 0.96497 ± 0.00128 0.98758 ± 0.00035 1 1.00270 ± 0.00013 0.99610 ± 0.00019 0.98082 ± 0.00021 0.95766 ± 0.00022 0.92761 ± 0.00022
857-detset1 0.93205 ± 0.00540 0.96604 ± 0.00182 0.98819 ± 0.00050 1 1.00196 ± 0.00019 0.99451 ± 0.00027 0.97830 ± 0.00029 0.95417 ± 0.00030 0.92315 ± 0.00030
857-detset2 0.92902 ± 0.00556 0.96363 ± 0.00192 0.98681 ± 0.00054 1 1.00364 ± 0.00021 0.99812 ± 0.00029 0.98402 ± 0.00032 0.96210 ± 0.00034 0.93330 ± 0.00034


Table 4: Powerlaw / Spectral Index Colour Correction Effective Frequency Table

Band/Det. [GHz] [math]\nu[/math]eff., S.I.: -4 -3 -2 -1 0 1 2 3 4
100-1a 97.066 ± 0.101 97.843 ± 0.099 98.641 ± 0.099 100 100.276 ± 0.096 101.102 ± 0.094 101.929 ± 0.092 102.756 ± 0.088 103.591 ± 0.084
100-1b 97.691 ± 0.126 98.462 ± 0.124 99.252 ± 0.121 100 100.871 ± 0.118 101.689 ± 0.112 102.510 ± 0.107 103.336 ± 0.101 104.178 ± 0.095
100-2a 97.653 ± 0.133 98.525 ± 0.132 99.434 ± 0.134 100 101.343 ± 0.128 102.333 ± 0.123 103.343 ± 0.117 104.381 ± 0.112 105.471 ± 0.105
100-2b 97.483 ± 0.131 98.371 ± 0.130 99.289 ± 0.128 100 101.189 ± 0.126 102.159 ± 0.122 103.138 ± 0.118 104.131 ± 0.114 105.160 ± 0.108
100-3a 97.889 ± 0.143 98.793 ± 0.141 99.724 ± 0.136 100 101.644 ± 0.125 102.619 ± 0.118 103.599 ± 0.110 104.588 ± 0.105 105.603 ± 0.097
100-3b 97.200 ± 0.114 98.019 ± 0.113 98.866 ± 0.111 100 100.626 ± 0.104 101.529 ± 0.100 102.445 ± 0.096 103.379 ± 0.092 104.348 ± 0.090
100-4a 97.944 ± 0.144 98.852 ± 0.143 99.797 ± 0.140 100 101.771 ± 0.132 102.786 ± 0.125 103.816 ± 0.118 104.868 ± 0.110 105.963 ± 0.103
100-4b 98.099 ± 0.125 99.010 ± 0.126 99.955 ± 0.125 100 101.913 ± 0.122 102.913 ± 0.117 103.919 ± 0.113 104.936 ± 0.109 105.979 ± 0.105
100-avg 97.662 ± 0.050 98.532 ± 0.050 99.434 ± 0.050 100 101.307 ± 0.048 102.267 ± 0.047 103.238 ± 0.045 104.225 ± 0.044 105.248 ± 0.042
100-detset1 97.808 ± 0.070 98.674 ± 0.072 99.571 ± 0.071 100 101.433 ± 0.068 102.386 ± 0.065 103.349 ± 0.062 104.327 ± 0.059 105.338 ± 0.056
100-detset2 97.601 ± 0.056 98.473 ± 0.055 99.377 ± 0.055 100 101.255 ± 0.053 102.217 ± 0.051 103.191 ± 0.049 104.182 ± 0.047 105.210 ± 0.044
143-1a 136.687 ± 0.044 137.855 ± 0.044 139.086 ± 0.045 143 141.708 ± 0.043 143.081 ± 0.042 144.484 ± 0.041 145.907 ± 0.040 147.346 ± 0.038
143-1b 137.246 ± 0.049 138.435 ± 0.049 139.678 ± 0.049 143 142.291 ± 0.049 143.643 ± 0.048 145.015 ± 0.046 146.398 ± 0.043 147.789 ± 0.042
143-2a 136.609 ± 0.048 137.825 ± 0.048 139.099 ± 0.048 143 141.791 ± 0.046 143.190 ± 0.045 144.613 ± 0.043 146.055 ± 0.042 147.516 ± 0.040
143-2b 137.429 ± 0.047 138.632 ± 0.047 139.882 ± 0.046 143 142.496 ± 0.044 143.845 ± 0.042 145.213 ± 0.041 146.598 ± 0.039 148.003 ± 0.038
143-3a 135.482 ± 0.041 136.648 ± 0.043 137.880 ± 0.044 143 140.506 ± 0.045 141.879 ± 0.046 143.275 ± 0.046 144.684 ± 0.045 146.095 ± 0.043
143-3b 136.494 ± 0.050 137.701 ± 0.050 138.965 ± 0.050 143 141.630 ± 0.050 143.011 ± 0.049 144.409 ± 0.046 145.814 ± 0.044 147.220 ± 0.043
143-4a 137.299 ± 0.046 138.574 ± 0.045 139.906 ± 0.044 143 142.706 ± 0.042 144.151 ± 0.040 145.613 ± 0.039 147.084 ± 0.037 148.561 ± 0.034
143-4b 137.135 ± 0.041 138.334 ± 0.042 139.581 ± 0.041 143 142.186 ± 0.040 143.524 ± 0.039 144.874 ± 0.037 146.230 ± 0.036 147.588 ± 0.034
143-5 139.128 ± 0.043 140.367 ± 0.042 141.638 ± 0.041 143 144.238 ± 0.038 145.551 ± 0.037 146.863 ± 0.036 148.174 ± 0.034 149.485 ± 0.033
143-6 137.838 ± 0.045 139.073 ± 0.044 140.351 ± 0.044 143 143.000 ± 0.042 144.355 ± 0.041 145.721 ± 0.039 147.098 ± 0.037 148.488 ± 0.035
143-7 139.332 ± 0.051 140.570 ± 0.050 141.844 ± 0.049 143 144.457 ± 0.045 145.776 ± 0.043 147.090 ± 0.041 148.394 ± 0.039 149.687 ± 0.036
143-8 138.254 ± 0.054 139.524 ± 0.052 140.838 ± 0.051 143 143.550 ± 0.048 144.926 ± 0.046 146.301 ± 0.043 147.668 ± 0.040 149.023 ± 0.036
143-avg 137.545 ± 0.016 138.771 ± 0.016 140.046 ± 0.016 143 142.709 ± 0.015 144.077 ± 0.015 145.457 ± 0.015 146.844 ± 0.014 148.235 ± 0.013
143-detset1 136.383 ± 0.022 137.566 ± 0.022 138.811 ± 0.022 143 141.450 ± 0.022 142.825 ± 0.021 144.223 ± 0.020 145.634 ± 0.019 147.052 ± 0.019
143-detset2 137.085 ± 0.026 138.308 ± 0.026 139.585 ± 0.026 143 142.265 ± 0.026 143.651 ± 0.025 145.055 ± 0.025 146.473 ± 0.023 147.904 ± 0.022
143-SWBs 138.822 ± 0.026 140.063 ± 0.025 141.340 ± 0.025 143 143.965 ± 0.024 145.294 ± 0.023 146.625 ± 0.022 147.955 ± 0.020 149.283 ± 0.019
217-1 216.066 ± 0.018 217.715 ± 0.018 219.396 ± 0.018 217 222.817 ± 0.018 224.543 ± 0.018 226.274 ± 0.019 228.011 ± 0.021 229.761 ± 0.025
217-2 216.108 ± 0.018 217.857 ± 0.018 219.635 ± 0.018 217 223.231 ± 0.018 225.028 ± 0.018 226.814 ± 0.019 228.587 ± 0.019 230.350 ± 0.021
217-3 216.487 ± 0.018 218.117 ± 0.017 219.771 ± 0.017 217 223.116 ± 0.016 224.790 ± 0.016 226.458 ± 0.016 228.118 ± 0.016 229.775 ± 0.017
217-4 216.127 ± 0.018 217.730 ± 0.018 219.368 ± 0.018 217 222.717 ± 0.017 224.413 ± 0.017 226.116 ± 0.018 227.825 ± 0.019 229.546 ± 0.022
217-5a 212.836 ± 0.019 214.684 ± 0.019 216.573 ± 0.019 217 220.421 ± 0.018 222.358 ± 0.018 224.293 ± 0.019 226.223 ± 0.021 228.153 ± 0.024
217-5b 213.124 ± 0.019 214.968 ± 0.018 216.846 ± 0.018 217 220.655 ± 0.018 222.564 ± 0.017 224.465 ± 0.017 226.355 ± 0.018 228.234 ± 0.019
217-6a 213.058 ± 0.019 214.914 ± 0.019 216.800 ± 0.018 217 220.619 ± 0.018 222.532 ± 0.018 224.441 ± 0.018 226.343 ± 0.018 228.245 ± 0.020
217-6b 213.041 ± 0.019 214.905 ± 0.019 216.798 ± 0.018 217 220.619 ± 0.017 222.523 ± 0.017 224.408 ± 0.017 226.271 ± 0.017 228.110 ± 0.018
217-7a 213.538 ± 0.018 215.299 ± 0.018 217.098 ± 0.018 217 220.766 ± 0.018 222.614 ± 0.018 224.458 ± 0.019 226.295 ± 0.019 228.123 ± 0.020
217-7b 213.010 ± 0.021 214.795 ± 0.021 216.618 ± 0.021 217 220.332 ± 0.020 222.198 ± 0.020 224.055 ± 0.020 225.896 ± 0.020 227.718 ± 0.020
217-8a 212.757 ± 0.020 214.655 ± 0.020 216.589 ± 0.019 217 220.510 ± 0.018 222.475 ± 0.018 224.432 ± 0.018 226.380 ± 0.019 228.324 ± 0.022
217-8b 213.279 ± 0.019 215.110 ± 0.018 216.966 ± 0.017 217 220.712 ± 0.016 222.581 ± 0.016 224.441 ± 0.016 226.287 ± 0.017 228.127 ± 0.021
217-avg 214.800 ± 0.006 216.544 ± 0.006 218.318 ± 0.006 217 221.914 ± 0.005 223.718 ± 0.005 225.517 ± 0.006 227.308 ± 0.006 229.096 ± 0.007
217-detset1 213.150 ± 0.008 214.955 ± 0.008 216.798 ± 0.008 217 220.548 ± 0.007 222.433 ± 0.007 224.312 ± 0.008 226.180 ± 0.009 228.039 ± 0.010
217-detset2 213.030 ± 0.010 214.893 ± 0.010 216.786 ± 0.009 217 220.614 ± 0.009 222.527 ± 0.009 224.429 ± 0.009 226.319 ± 0.009 228.200 ± 0.010
217-SWBs 216.201 ± 0.009 217.854 ± 0.009 219.537 ± 0.008 217 222.957 ± 0.008 224.676 ± 0.008 226.395 ± 0.008 228.113 ± 0.008 229.834 ± 0.010
353-1 349.478 ± 0.021 352.124 ± 0.021 354.818 ± 0.021 217 360.289 ± 0.022 363.032 ± 0.023 365.762 ± 0.023 368.469 ± 0.025 371.149 ± 0.027
353-2 349.711 ± 0.020 352.407 ± 0.020 355.178 ± 0.021 353 360.866 ± 0.023 363.742 ± 0.023 366.615 ± 0.024 369.467 ± 0.026 372.288 ± 0.027
353-3a 350.077 ± 0.027 352.393 ± 0.025 354.757 ± 0.024 353 359.591 ± 0.022 362.037 ± 0.022 364.488 ± 0.022 366.934 ± 0.022 369.368 ± 0.023
353-3b 349.440 ± 0.022 351.896 ± 0.022 354.426 ± 0.022 353 359.653 ± 0.023 362.323 ± 0.024 365.012 ± 0.025 367.709 ± 0.026 370.405 ± 0.028
353-4a 353.362 ± 0.020 355.505 ± 0.020 357.702 ± 0.020 353 362.224 ± 0.020 364.530 ± 0.020 366.853 ± 0.020 369.186 ± 0.020 371.521 ± 0.022
353-4b 352.599 ± 0.019 354.921 ± 0.020 357.305 ± 0.020 353 362.212 ± 0.021 364.709 ± 0.021 367.219 ± 0.022 369.730 ± 0.023 372.233 ± 0.024
353-5a 347.552 ± 0.022 350.274 ± 0.022 353.055 ± 0.022 353 358.726 ± 0.022 361.578 ± 0.022 364.418 ± 0.022 367.231 ± 0.022 370.005 ± 0.023
353-5b 347.060 ± 0.020 349.892 ± 0.020 352.811 ± 0.021 353 358.837 ± 0.022 361.905 ± 0.023 364.984 ± 0.024 368.057 ± 0.026 371.112 ± 0.029
353-6a 348.834 ± 0.027 351.530 ± 0.027 354.286 ± 0.027 353 359.913 ± 0.028 362.751 ± 0.029 365.583 ± 0.029 368.395 ± 0.030 371.177 ± 0.031
353-6b 346.756 ± 0.022 349.003 ± 0.022 351.310 ± 0.023 353 356.062 ± 0.024 358.487 ± 0.024 360.931 ± 0.025 363.384 ± 0.025 365.834 ± 0.026
353-7 353.439 ± 0.031 355.868 ± 0.029 358.338 ± 0.028 353 363.354 ± 0.025 365.877 ± 0.024 368.396 ± 0.024 370.906 ± 0.025 373.407 ± 0.028
353-8 353.919 ± 0.023 356.645 ± 0.023 359.428 ± 0.022 353 365.103 ± 0.022 367.964 ± 0.022 370.824 ± 0.025 373.678 ± 0.028 376.528 ± 0.034
353-avg 350.610 ± 0.008 353.208 ± 0.008 355.864 ± 0.008 353 361.289 ± 0.008 364.027 ± 0.008 366.763 ± 0.008 369.486 ± 0.009 372.192 ± 0.010
353-detset1 348.356 ± 0.011 350.970 ± 0.011 353.652 ± 0.011 353 359.156 ± 0.011 361.947 ± 0.011 364.744 ± 0.011 367.532 ± 0.011 370.302 ± 0.012
353-detset2 351.278 ± 0.010 353.602 ± 0.010 355.982 ± 0.010 353 360.870 ± 0.010 363.354 ± 0.011 365.850 ± 0.011 368.347 ± 0.011 370.837 ± 0.012
353-SWBs 351.075 ± 0.012 353.719 ± 0.011 356.419 ± 0.011 353 361.921 ± 0.011 364.692 ± 0.011 367.455 ± 0.011 370.203 ± 0.012 372.930 ± 0.013
545-1 536.802 ± 0.488 543.034 ± 0.252 548.855 ± 0.136 545 559.830 ± 0.048 565.023 ± 0.034 570.001 ± 0.027 574.744 ± 0.025 579.238 ± 0.023
545-2 532.896 ± 0.438 539.141 ± 0.234 544.983 ± 0.130 545 556.051 ± 0.047 561.311 ± 0.034 566.366 ± 0.029 571.194 ± 0.027 575.780 ± 0.025
545-3 535.490 ± 0.752 541.404 ± 0.409 546.939 ± 0.227 545 557.397 ± 0.080 562.362 ± 0.053 567.137 ± 0.040 571.706 ± 0.033 576.054 ± 0.030
545-4 535.198 ± 0.483 541.039 ± 0.260 546.508 ± 0.143 545 556.845 ± 0.049 561.756 ± 0.033 566.482 ± 0.026 571.006 ± 0.024 575.316 ± 0.022
545-avg 534.885 ± 0.243 541.002 ± 0.128 546.722 ± 0.070 545 557.535 ± 0.026 562.667 ± 0.019 567.596 ± 0.016 572.305 ± 0.015 576.778 ± 0.014
545-detset1 534.737 ± 0.326 540.984 ± 0.170 546.823 ± 0.092 545 557.860 ± 0.031 563.094 ± 0.021 568.118 ± 0.017 572.911 ± 0.015 577.458 ± 0.015
545-detset2 535.198 ± 0.471 541.039 ± 0.253 546.508 ± 0.141 545 556.845 ± 0.052 561.756 ± 0.038 566.482 ± 0.031 571.006 ± 0.028 575.316 ± 0.026
857-1 829.988 ± 4.775 840.870 ± 1.743 849.842 ± 0.646 857 866.045 ± 0.099 873.628 ± 0.048 880.885 ± 0.034 887.805 ± 0.030 894.378 ± 0.029
857-2 823.541 ± 3.974 834.506 ± 1.467 843.689 ± 0.550 857 860.548 ± 0.093 868.533 ± 0.049 876.219 ± 0.035 883.577 ± 0.030 890.587 ± 0.029
857-3 828.870 ± 4.453 839.678 ± 1.598 848.637 ± 0.594 857 864.918 ± 0.092 872.568 ± 0.046 879.900 ± 0.032 886.894 ± 0.028 893.535 ± 0.028
857-4 820.649 ± 4.152 830.916 ± 1.508 839.387 ± 0.557 857 854.755 ± 0.091 861.988 ± 0.043 868.940 ± 0.030 875.594 ± 0.026 881.939 ± 0.026
857-avg 826.562 ± 2.275 837.384 ± 0.820 846.356 ± 0.300 857 862.675 ± 0.048 870.355 ± 0.025 877.724 ± 0.018 884.765 ± 0.016 891.462 ± 0.016
857-detset1 826.845 ± 3.229 837.792 ± 1.158 846.878 ± 0.426 857 863.418 ± 0.067 871.201 ± 0.036 878.669 ± 0.027 885.803 ± 0.024 892.587 ± 0.024
857-detset2 826.214 ± 3.329 836.872 ± 1.225 845.697 ± 0.459 857 861.737 ± 0.073 869.284 ± 0.037 876.526 ± 0.026 883.446 ± 0.023 890.027 ± 0.023

Colour Correction, Modified Blackbody[edit]

This section presents colour correction coefficients for a variety of modified blackbody spectral profiles. A sample CIB spectrum, with [math]T=13.6 K, \beta=1.4[/math], is chosen as one example. Three other examples are selected based on the variety of dust spectra used in typical HFI analysis. The first dust profile is [math]T=18 K, \beta=1.6[/math], the second is [math]T=17 K, \beta=1.5[/math], and the third (taken from the LMC region FIXME) is [math]T=21 K, \beta=1.48[/math]. Also shown are plots for a modified blackbody spectrum spanning a selection of the temperature/beta parameter space.

CO unit conversion[edit]

This section presents the CO unit conversion coefficcients.

Table 5: CO unit conversion coefficients for the various HFI detectors and channel-averages
Band (GHz) BC Det. CO line F12CO [uKCMB/KRJkm/s] F13CO [uKCMB/KRJkm/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

Planet Colour Correction[edit]

As the planets within our solar system are used as calibration verification, and their spectra may deviate from the nominal Rayleigh-Jeans spectral profile, colour correction coefficients have been determined for each of the planets observed by Planck. This involves a model spectrum for each planet over the Planck Bands (cite rel. models here), and an understanding of the model uncertainties, and spectral uncertainties in order to determine the planet colour correction coefficient uncertainties. The table below summarizes the results for the planet colour correction coefficients.

FIXME: get into proper table format...

Band, BC, det., CC_SI=-2, CCE_SI=-2, CC_Mars1, CCE_Mars1, CC_Mars2, CE_Mars2, CC_Mars3, CCE_Mars3, CC_Jup, CCE_Jup, CC_Sat, CCE_Sat, CC_Ur, CCE_Ur, CC_Nep, CCE_Nep
100 00 1a       0.99179524     0.0024569372       0.99136628     0.0028896212       0.99177756     0.0027920234       0.99136832     0.0028653367       0.99192571     0.0058583181       0.99226270     0.0051635052       0.99629477      0.0023507110        1.0000696     0.0023383064
100 01 1b       0.97434212     0.0023504173       0.97375068     0.0027664805       0.97430734     0.0026726654       0.97375361     0.0027429981       0.97441599     0.0056352787       0.97488177     0.0049649349       0.98002947     0.0022491406       0.98428882     0.0022335515
100 20 2a       0.96064335     0.0024812887       0.95985742     0.0028602119       0.96059429     0.0027710572       0.95986171     0.0028382682       0.96071444     0.0056396086       0.96134048     0.0049820244       0.96809857     0.0023651134       0.97276578     0.0023474124
100 21 2b       0.96513920     0.0026154215       0.96440156     0.0029987856       0.96509400     0.0029095399       0.96440543     0.0029770927       0.96521685     0.0057557103       0.96580167     0.0050993873       0.97217979     0.0024991748       0.97658077     0.0024855546
100 40 3a       0.95227079     0.0024217183       0.95141328     0.0028267431       0.95221319     0.0027357225       0.95141775     0.0028039782       0.95231097     0.0056369281       0.95298905     0.0049778541       0.96021386     0.0023229208       0.96555618     0.0023034938
100 41 3b       0.98139440     0.0024512185       0.98083549     0.0028571474       0.98136600     0.0027636093       0.98083842     0.0028339286       0.98151075     0.0057414268       0.98195360     0.0050633475       0.98700251     0.0023420047       0.99141841     0.0023273952
100 80 4a       0.94863992     0.0025572022       0.94773453     0.0029459918       0.94857907     0.0028574219       0.94773941     0.0029242937       0.94868107     0.0056758085       0.94939951     0.0050287996       0.95702542     0.0024475671       0.96255867     0.0024264874
100 81 4b       0.94472176     0.0024347784       0.94378680     0.0028136068       0.94465704     0.0027263078       0.94379172     0.0027919631       0.94474695     0.0055351329       0.94548546     0.0048926320       0.95329271     0.0023286029       0.95886516     0.0023080312
100 100 avg       0.96201584     0.0010140989       0.96125413     0.0017473936       0.96196792     0.0016180539       0.96125815     0.0017102511       0.96208289     0.0052173339       0.96268641     0.0044916060       0.96922184     0.0010542270       0.97410782     0.0010439924
143 02 1a        1.0274279    0.00069310170        1.0273780     0.0010929967        1.0274933    0.00097577618        1.0273952     0.0010617994        1.0277801     0.0040870736        1.0280921     0.0032092061        1.0303270    0.00062520368        1.0310322    0.00063324809
143 03 1b        1.0149215    0.00070866545        1.0147696     0.0010951536        1.0149853    0.00098107888        1.0147886     0.0010647845        1.0153107     0.0040423422        1.0157214     0.0031761456        1.0191177    0.00064083408        1.0196698    0.00064901275
143 30 2a        1.0256655    0.00071856612        1.0255947     0.0011051012        1.0257319    0.00098966074        1.0256126     0.0010743671        1.0260326     0.0040969243        1.0263760     0.0032170282        1.0288763    0.00064839386        1.0296126    0.00065702576
143 31 2b        1.0105600    0.00066156375        1.0103726     0.0010564197        1.0106237    0.00094037912        1.0103925     0.0010254397        1.0109642     0.0040132254        1.0114212     0.0031483366        1.0152188    0.00059867200        1.0157617    0.00060634902
143 50 3a        1.0540337    0.00079658097        1.0542126     0.0011819005        1.0540996     0.0010655460        1.0542247     0.0011511021        1.0542895     0.0042420340        1.0543570     0.0033359408        1.0539499    0.00071486962        1.0550431    0.00072497723
143 51 3b        1.0291866    0.00073197786        1.0291488     0.0011223489        1.0292516     0.0010059919        1.0291656     0.0010913951        1.0295330     0.0041396701        1.0298255     0.0032517812        1.0319238    0.00066040360        1.0326979    0.00066937901
143 82 4a        1.0061120    0.00070379842        1.0058677     0.0010944281        1.0061800    0.00097869910        1.0058899     0.0010635565        1.0065635     0.0040824417        1.0070911     0.0032056372        1.0116784    0.00063675289        1.0122041    0.00064498270
143 83 4b        1.0172157    0.00070622867        1.0170853     0.0010920808        1.0172783    0.00097799480        1.0171036     0.0010617064        1.0175901     0.0040386342        1.0179738     0.0031726240        1.0210933    0.00063851040        1.0217136    0.00064697273
143 10 5       0.97451281    0.00060130694       0.97403771     0.0010077414       0.97457462    0.00089211065       0.97406349    0.00097678507       0.97503467     0.0038957642       0.97578047     0.0030560406       0.98294909    0.00054954842       0.98306051    0.00055596656
143 42 6       0.99996107    0.00066668980       0.99968416     0.0010573354        1.0000246    0.00094266271       0.99970596     0.0010267065        1.0004048     0.0039909943        1.0009555     0.0031324957        1.0058087    0.00060469278        1.0062450    0.00061218052
143 60 7       0.97009182    0.00063299289       0.96958024     0.0010194157       0.97015385    0.00090626054       0.96960689    0.00098909047       0.97063066     0.0039043560       0.97140874     0.0030625003       0.97902883    0.00057634869       0.97905402    0.00058285699
143 70 8       0.98857904    0.00067452972       0.98820410     0.0010585037       0.98864304    0.00094536517       0.98822818     0.0010282681       0.98906878     0.0039713907       0.98971077     0.0031178738       0.99575904    0.00061283887       0.99604248    0.00062011604
143 143 avg        1.0070824    0.00021374022        1.0068614    0.00086409244        1.0071466    0.00071705691        1.0068821    0.00082483224        1.0075044     0.0040076546        1.0079914     0.0031228747        1.0122118    0.00021344720        1.0127057    0.00021557979
217 04 1       0.92372890    0.00014543105       0.92335527    0.00024240533       0.92408488    0.00019744716       0.92346228    0.00023023603       0.92564528     0.0015701413       0.94180278     0.0010131918       0.93820450    0.00012696036       0.95279110    0.00012462523
217 22 2       0.91865604    0.00014914031       0.91825965    0.00024397324       0.91902960    0.00019988489       0.91837207    0.00023202445       0.92064935     0.0015605936       0.93711772     0.0010080980       0.93393990    0.00013062592       0.94633963    0.00012956498
217 52 3       0.92005792    0.00014369930       0.91966886    0.00024222673       0.92041646    0.00019655457       0.91977696    0.00022986870       0.92194761     0.0015838572       0.93736052     0.0010206916       0.93487937    0.00012579592       0.94856537    0.00012450449
217 84 4       0.92495519    0.00014512127       0.92458715    0.00024358886       0.92530546    0.00019787179       0.92469247    0.00023121651       0.92680837     0.0015890382       0.94232617     0.0010241088       0.93919854    0.00012648258       0.95255081    0.00012451968
217 11 5a       0.95420528    0.00016517233       0.95395616    0.00026105946       0.95451165    0.00021582053       0.95404671    0.00024877594       0.95583734     0.0016393437       0.97066825     0.0010566672       0.96523516    0.00014388767       0.97794116    0.00014047459
217 12 5b       0.95119915    0.00015741187       0.95093690    0.00025282959       0.95150918    0.00020776743       0.95102877    0.00024059837       0.95285521     0.0016138199       0.96830417     0.0010403248       0.96255440    0.00013733322       0.97546140    0.00013434738
217 43 6a       0.95166719    0.00016000513       0.95140712    0.00025615709       0.95197683    0.00021074547       0.95149881    0.00024382949       0.95328677     0.0016297876       0.96784827     0.0010497778       0.96297893    0.00013941718       0.97494109    0.00013675603
217 44 6b       0.95169507    0.00015570745       0.95143404    0.00025362596       0.95200265    0.00020740357       0.95152524    0.00024108688       0.95330789     0.0016386924       0.96815314     0.0010553470       0.96297302    0.00013603545       0.97583895    0.00013324272
217 61 7a       0.94972963    0.00015239450       0.94946246    0.00025207770       0.95003715    0.00020563156       0.94955374    0.00023950395       0.95132855     0.0016287555       0.96583873     0.0010486024       0.96112182    0.00013270037       0.97286646    0.00013022047
217 62 7b       0.95537121    0.00016113948       0.95512752    0.00026061348       0.95566714    0.00021411649       0.95521510    0.00024801275       0.95688048     0.0016560033       0.97050533     0.0010660058       0.96606477    0.00014036063       0.97712304    0.00013754722
217 71 8a       0.95308368    0.00016110231       0.95282877    0.00025768691       0.95339507    0.00021184558       0.95292085    0.00024523592       0.95473572     0.0016464027       0.96936560     0.0010603617       0.96433301    0.00014032034       0.97700981    0.00013781597
217 72 8b       0.95048294    0.00015373978       0.95021787    0.00025301486       0.95079048    0.00020692295       0.95030911    0.00024053889       0.95210122     0.0016220164       0.96627247     0.0010445368       0.96184275    0.00013405319       0.97499412    0.00013086004
217 217 avg       0.93586113    4.7378428e-05       0.93553554    0.00020323701       0.93619662    0.00014455406       0.93563585    0.00018794390       0.93763539     0.0016001360       0.95291335     0.0010263908       0.94897105    4.1318756e-05       0.96194977    4.0574860e-05
353 05 1       0.94058043    0.00011332546       0.94098217    0.00011441096       0.94141295    0.00011288488       0.94116837    0.00011387941       0.94555005    0.00037131159       0.94844667    0.00017398739       0.95501386    9.6672425e-05       0.94252929    0.00010244836
353 13 2       0.93604223    0.00011766864       0.93646791    0.00011892386       0.93692586    0.00011730590       0.93666550    0.00011836793       0.94132594    0.00037197986       0.94433250    0.00017722200       0.95137461    0.00010038591       0.93875196    0.00010586665
353 23 3a       0.94601822    0.00013419995       0.94638004    0.00013494525       0.94677116    0.00013354759       0.94654860    0.00013446058       0.95047817    0.00037504681       0.95303302    0.00018638046       0.95908115    0.00011497526       0.94912779    0.00012047238
353 24 3b       0.94549039    0.00012107755       0.94587698    0.00012181912       0.94628057    0.00012041895       0.94605316    0.00012132239       0.95024077    0.00037357867       0.95295610    0.00017785405       0.95904147    0.00010291203       0.94782372    0.00010895011
353 32 4a       0.92550628    0.00011168432       0.92590043    0.00011280360       0.92638226    0.00011127256       0.92609866    0.00011226930       0.93061868    0.00036489332       0.93335202    0.00017140080       0.94131248    9.5161783e-05       0.93060586    0.00010232233
353 33 4b       0.92560740    0.00011535949       0.92601983    0.00011647515       0.92650963    0.00011494353       0.92622343    0.00011594320       0.93090737    0.00036576470       0.93376284    0.00017381066       0.94174044    9.8456132e-05       0.92965716    0.00010437055
353 53 5a       0.95292376    0.00012188150       0.95331003    0.00012272894       0.95368671    0.00012128687       0.95347921    0.00012222428       0.95752576    0.00037744312       0.96032758    0.00018013350       0.96572763    0.00010391665       0.95318252    0.00010850519
353 54 5b       0.95198172    0.00012562110       0.95239373    0.00012634361       0.95278451    0.00012493622       0.95257109    0.00012584674       0.95690100    0.00037545442       0.95986476    0.00018092809       0.96530501    0.00010679503       0.95260819    0.00011099594
353 63 6a       0.94350543    0.00014632473       0.94391092    0.00014710047       0.94433192    0.00014560840       0.94409518    0.00014658422       0.94846347    0.00038237367       0.95136826    0.00019551997       0.95766012    0.00012481655       0.94499853    0.00012943610
353 64 6b       0.97439004    0.00014454517       0.97469099    0.00014551843       0.97494197    0.00014385611       0.97481163    0.00014494673       0.97777798    0.00039581401       0.97992890    0.00019859126       0.98317463    0.00012209450       0.97339239    0.00012809685
353 45 7       0.91695423    0.00012676198       0.91738734    0.00012748245       0.91791853    0.00012616718       0.91760559    0.00012702172       0.92260648    0.00036124111       0.92566524    0.00017782391       0.93439356    0.00010927645       0.92339661    0.00011439164
353 85 8       0.90384202    0.00012261582       0.90433854    0.00012348863       0.90494364    0.00012202853       0.90458747    0.00012296857       0.91038829    0.00036092882       0.91389086    0.00017417894       0.92373414    0.00010434520       0.91163173    0.00011010402
353 353 avg       0.93323585    4.4062606e-05       0.93365358    4.7070290e-05       0.93411831    4.4557970e-05       0.93385153    4.6199076e-05       0.93848877    0.00035164656       0.94145185    0.00014110258       0.94870194    3.7658049e-05       0.93676117    3.9614753e-05
545 14 1       0.92302463    0.00016861905       0.92461756    0.00016804803       0.92501464    0.00016771153       0.92493336    0.00016787094       0.91708546    0.00015851497       0.80636759    0.00014498146       0.94179218    0.00015444168       0.95363288    0.00015667609
545 34 2       0.94195694    0.00016871427       0.94336773    0.00016811001       0.94370224    0.00016774858       0.94364108    0.00016791952       0.93574149    0.00015708569       0.82275030    0.00014416656       0.95787017    0.00015381168       0.97068422    0.00015578950
545 55 3       0.93512338    0.00027655893       0.93656096    0.00027600560       0.93691226    0.00027552445       0.93684341    0.00027578629       0.93104992    0.00025985046       0.81875193    0.00023124526       0.95176550    0.00025712338       0.96419783    0.00025990306
545 73 4       0.93789657    0.00018106184       0.93929799    0.00018048351       0.93963862    0.00018012702       0.93957268    0.00018030030       0.93488316    0.00016869839       0.82191908    0.00015426500       0.95404589    0.00016606602       0.96719779    0.00016790120
545 545 avg       0.93456594    9.9769955e-05       0.93603315    9.9429455e-05       0.93639001    9.9225109e-05       0.93632077    9.9322420e-05       0.92946031    9.3581163e-05       0.81720996    8.5125376e-05       0.95148319    9.1245529e-05       0.96409014    9.2283397e-05
857 25 1       0.96944437    0.00027856680       0.97151258    0.00027804692       0.97174365    0.00027784061       0.97174163    0.00027791474       0.98864826    0.00027967852       0.98899431    0.00027826822       0.98269193    0.00026752947       0.98870019    0.00026951231
857 35 2       0.98810255    0.00024194320       0.98982374    0.00024124537       0.99000266    0.00024103289       0.99000374    0.00024109823        1.0063799    0.00024222636        1.0057014    0.00024149148       0.99824571    0.00023048839        1.0042322    0.00023213953
857 65 3       0.97322233    0.00026529861       0.97521786    0.00026471472       0.97543817    0.00026450752       0.97543677    0.00026457792       0.99181933    0.00026601798       0.99151029    0.00026515330       0.98582708    0.00025417843       0.99174350    0.00025613279
857 74 4        1.0083172    0.00030474985        1.0094396    0.00030389953        1.0095398    0.00030362975        1.0095443    0.00030371607        1.0238004    0.00030485468        1.0254106    0.00030369029        1.0138754    0.00029033788        1.0204622    0.00029266176
857 857 avg       0.98090289    0.00013617145       0.98273089    0.00013584940       0.98292739    0.00013573943       0.98292724    0.00013577595       0.99918265    0.00013645470       0.99923102    0.00013587987       0.99210006    0.00013026850       0.99815419    0.00013122817


Conclusions[edit]

Summary remarks here...

(Planck) High Frequency Instrument

(Planck) Low Frequency Instrument

Planck Legacy Archive

Cosmic Microwave background

To be defined / determined