Difference between revisions of "Spectral response"

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== Introduction ==
 +
 +
This section outlines the unit-conversion and colour-correction protocol for Planck/HFI, based on the measurements of the HFI detector chain spectral response (see {{PlanckPapers|planck2013-p03d}} and [[HFI_cold_optics#Spectral_response|here]] for the description of the spectral response pre-launch measurements). These descriptions apply to individual detector responses and individual detector maps.
 +
 +
Maps which are made from combinations of detectors have an effective spectral response which is a weighted combination of the responses of each detector, and in principle it varies from pixel-to-pixel. The Reduced Instrument Model (RIMO) files contain the average spectral response for each type of (individual and combination) map produced.
 +
 +
Please note that the combined-detector maps produced in 2018 are made with the SRoll map-making code, which involves a correction for “bandpass mismatch” due to the spectral response imbalance between PSBs leading to intensity-to-polarization leakage. This correction is achieved by determining differences in response of individual detectors to specific foregrounds with respect to the CMB calibration. As a result of this correction, the effective bandpass of the combined-detector 2018 PR maps is the straight average of the spectral response of individual detectors, whereas for the equivalent 2015 or 2013 maps, the effective bandpass is the average of the spectral response of individual detectors weighted by the number of hits in each pixel. The bandpasses described in the 2018 and 2015 RIMOs are therefore not the same, and colour corrections are consequently slightly different. Single bolometer within a frequency band show response to foregrounds which differs from the CMB calibrated one (colour correction). Combination of PR2 single bolometer maps could be used to recover (or help recovering) foreground components (including narrow-band components such as CO line emission). Since the 2018 spectral response imbalances of individual detector maps can no longer be used for this purpose, we do not deliver them.
 +
 
== HFI Spectral Response ==
 
== HFI Spectral Response ==
This section outlines the unit conversion and colour correction protocol for Planck/HFI, based on the measurements of the HFI detector chain spectral response (see {{PlanckPapers|planck2013-p03d}} and [[HFI_cold_optics#Spectral_response|the description of the spectral response pre-launch measurements in the instrument section]]).
 
  
The band-average HFI spectral response data are shown in the figure below, and provided in the [[the RIMO|the instrument model]].  Similar data is available for individual detectors as well as sub-band average data sets (i.e., detset1, detset2, PSBs, SWBs). A table summarizing some of the spectral properties of the individual detectors, and band-average spectra, is shown at the bottom of this page.
+
The band-averaged HFI spectral response data are shown in the figure below, and provided in the [[the RIMO|the instrument model]].  Similar data are available for individual detectors as well as sub-band averaged data sets (i.e., detset1, detset2, PSBs, SWBs). A table summarizing some of the spectral properties of the individual detectors, and band-averaged spectra, is shown at the bottom of this page.
  
 
<center>
 
<center>
[[Image:map-cc-HFI_Spec_Bands_180mm.png|thumb|700px|center|Band-average HFI transmission spectra.  Vertical bars illustrate the CO rotational transition frequencies.]]
+
[[Image:map-cc-HFI_Spec_Bands_180mm.png|thumb|700px|center|Band-averaged HFI transmission spectra.  Vertical bars illustrate the CO rotational transition frequencies.]]
 
</center>
 
</center>
  
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 in question changes depending on the Planck coverage of the region of sky in question.  This may change between different subsets of the Planck data, e.g., surveys, detector sets, etc. The histograms below demonstrate the variation across the sky of the detector weight coefficients used to determine the band-average spectra. Thus, the validity of using a single band-average spectrum for an entire sky map, may require evaluation depending on the task at hand.  Thus, some analysis 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).  There are four groupings to consider with respect to the relative weighting of the individual detector contribution to the Planck data, and hence the relative contribution of a given detector spectrum to a band-average spectrum or sub-band-average spectrum: ring, detset, survey, and mask.  There are three possible combinations for the ring grouping, accounting for whether the full ring is used in the map, just the first half, or the last half; the notation used here is F+L for the full ring, F for the first half, and L for the last half.  The detset grouping has between 3 and 5 combinations per frequency band, accounting for the detectors to include in the average, including all detectors, detset1, detset2, only the PSB detectors (PSBs), or only the SWB detectors (SWBs).  There are 11 possible survey options including Full, Nominal, 1,2,3,4,5, year 1, year 2, half-mission 1, and half-mission 2.  There are also 6 nominal masking options for the maps including 100%, 99%, 97%, 90%, 80%, and 60% of the sky (various degrees of masking the galactic plane).  Thus, for a given frequency band there could be up to almost 1000 (sub-)band-average spectra.  While the images below only show the variation of detector contribution to the average for the full and nominal surveys, a similar evaluation was conducted across the entire parameter space to determine the relavent average spectrum.  This parameter space is also considered in determining the effective unit conversion and colour correction coefficients (see below).
+
The band-averaged spectrum for a given frequency band is derived using a hit-map-normalized inverse-square noise-weighted detector spectrum average.  Thus, the effective band-averaged spectrum in question changes depending on Planck's coverage of the region of sky in question.  This may change between different subsets of the Planck data, e.g., surveys, detector sets, etc. The histograms below demonstrate the variation across the sky of the detector weight coefficients used to determine the band-averaged spectra. Thus, the validity of using a single band-averaged spectrum for an entire sky map, may require evaluation depending on the task at hand.  Some analyses may require incorporating the variation of the relative detector weights across the sky in order to understand the differential spectral transmission between complementary maps (e.g., detset-1 versus detset-2 maps).  There are four groupings to consider with respect to the relative weighting of the individual detector contribution to the Planck data, and hence the relative contribution of a given detector spectrum to a band-averaged spectrum or sub-band-average spectrum: ring; detset; survey; and mask.  There are three possible combinations for the ring grouping, accounting for whether the full ring is used in the map, just the first half, or the last half; the notation used here is F+L for the full ring, F for the first half, and L for the last half.  The detset grouping has between three and five combinations per frequency band, accounting for the detectors to include in the average, including all detectors, detset1, detset2, only the PSB detectors (PSBs), or only the SWB detectors (SWBs).  There are 11 possible survey options, including the full mission, nominal mission, Survey 1, Survey 2, Survey 3, Survey 4, Survey 5, Year 1, Year 2, Half-mission 1, and Half-mission 2.  There are also six nominal masking options for the maps including 100%, 99%, 97%, 90%, 80%, and 60% of the sky (various degrees of masking the Galactic plane).  Thus, for a given frequency band there could be up to almost 1000 (sub-)band-averaged spectra.  While the images below only show the variation of detector contribution to the average for the full and nominal missions, a similar evaluation was conducted across the entire parameter space to determine the relevant average spectrum.  This parameter space is also considered in determining the effective unit-conversion and colour-correction coefficients (see below).
  
 
<center>
 
<center>
 
<gallery widths="500px" heights="330px" perrow="2">
 
<gallery widths="500px" heights="330px" perrow="2">
File:100GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|100 GHz
+
File:100GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|100 GHz.
File:143GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|143 GHz
+
File:143GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|143 GHz.
File:217GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|217 GHz
+
File:217GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|217 GHz.
File:353GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|353 GHz
+
File:353GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|353 GHz.
File:545GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|545 GHz
+
File:545GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|545 GHz.
File:857GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|857 GHz
+
File:857GHz_HitMapWeights_IMO_3_16_detilt_t2_ptcor6_Sfull_Plot_88mm.png|857 GHz.
 
</gallery>
 
</gallery>
'''Variation of individual detector contribution to band-average frequency maps across the sky, for various HFI surveys.'''
+
<small>'''Variation of individual detector contributions to band-averaged frequency maps across the sky, for various HFI surveys.'''</small>
 
</center>
 
</center>
  
 +
== Colour Correction ==
  
As described in {{PlanckPapers|planck2013-p03d}}, several unit conversion and colour correction ceofficients may be useful in analysis of Planck data. These include conversion from CMB temperature units to MJy/sr, and colour correction coefficients for conversion to a variety of spectral profiles. Software routines to determine these coefficients are provided [[Unit_conversion_and_Color_correction|here]], and some example tables are provided [[UC_CC_Tables|here]]. A text file containing unit conversion and colour correction coefficients for all of the individual HFI detectors as well as the band-average and sub-band-average spectra is included at the bottom of this page.  This file includes all of the iterations for the sub-band average spectra, including ring, detset, survey, and mask variation.   
+
As described in {{PlanckPapers|planck2013-p03d}}, several unit-conversion and colour-correction coefficients may be useful in the analysis of Planck data. These include conversion from CMB temperature units to MJy sr<sup>-1</sup>, and colour-correction coefficients for conversion to a variety of spectral profiles. Software routines to determine these coefficients are provided [[Unit_conversion_and_Color_correction|here]], and some example tables are provided [[UC_CC_Tables|here]]. A text file containing unit-conversion and colour-correction coefficients for all of the individual HFI detectors, as well as the band-averaged and sub-band-averaged spectra, is included at the bottom of this page.  This file contains all of the iterations for the sub-band-averaged spectra, including ring, detset, survey, and mask variations.   
  
The integration ranges used in determining the unit conversion and colour correction coefficients provided were 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.
+
The integration ranges used in determining the unit-conversion and colour-correction coefficients provided were 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.
  
 
<center>
 
<center>
 
<gallery widths=400px heights=500px perrow="3">
 
<gallery widths=400px heights=500px perrow="3">
File:CheckCCcutoff_v302_nuInu2RJ_100_GHz_bc100_avg.png|100 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_100_GHz_bc100_avg.png|100 GHz.
File:CheckCCcutoff_v302_nuInu2RJ_143_GHz_bc143_avg.png|143 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_143_GHz_bc143_avg.png|143 GHz.
File:CheckCCcutoff_v302_nuInu2RJ_217_GHz_bc217_avg.png|217 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_217_GHz_bc217_avg.png|217 GHz.
File:CheckCCcutoff_v302_nuInu2RJ_353_GHz_bc353_avg.png|353 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_353_GHz_bc353_avg.png|353 GHz.
File:CheckCCcutoff_v302_nuInu2RJ_545_GHz_bc545_avg.png|545 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_545_GHz_bc545_avg.png|545 GHz.
File:CheckCCcutoff_v302_nuInu2RJ_857_GHz_bc857_avg.png|857 GHz
+
File:CheckCCcutoff_v302_nuInu2RJ_857_GHz_bc857_avg.png|857 GHz.
 
</gallery>
 
</gallery>
'''Colour Correction (alpha = -1 to +2) stability with integration cut-off variation.  The horizontal bars illustrate the nominal colour correction values.  Similar results are found for the integration cut-on.'''
+
<small>'''Colour-correction (&alpha; = -1 to +2) stability with integration cut-off variation.  The horizontal bars illustrate the nominal colour-correction values.  Similar results are found for the integration cut-on.'''</small>
 
</center>
 
</center>
 
 
  
  
Line 48: Line 55:
 
|+ '''Properties of HFI detector spectra'''
 
|+ '''Properties of HFI detector spectra'''
 
|- bgcolor="ffdead"
 
|- bgcolor="ffdead"
| Band (GHz) || <math>\nu</math>cut-on [GHz] || <math>\nu</math>cut-off [GHz] || BW [GHz] || <math>\nu</math>cen. [GHz] || <math>\nu</math>eff. [GHz] || <math>\varepsilon</math> || <math>\epsilon</math>Int. || <math>\nu</math> -1 [GHz] || <math>\nu</math> +2 [GHz] || <math>\nu</math> +4 [GHz]
+
| Band [GHz] || &nu;<sub>cut-on</sub> [GHz] || &nu;<sub>cut-off</sub> [GHz] || BW [GHz] || &nu;<sub>cen.</sub> [GHz] || &nu;<sub>eff.</sub> [GHz] || &epsilon; || &epsilon;<sub>Int.</sub> || &nu;<sub>-1</sub> [GHz] || &nu;<sub>+2</sub> [GHz] || &nu;<sub>+4</sub> [GHz]
 
|-
 
|-
 
| 100-1a || 84.8 ± 0.5 || 113.96 ± 0.16 || 29.1 ± 0.6 || 99.4 ± 0.3 || 100.28 ± 0.11 || 0.419 ± 0.008 || 0.310 ± 0.008 || 99.45 ± 0.12 || 101.93 ± 0.11 || 103.59 ± 0.10
 
| 100-1a || 84.8 ± 0.5 || 113.96 ± 0.16 || 29.1 ± 0.6 || 99.4 ± 0.3 || 100.28 ± 0.11 || 0.419 ± 0.008 || 0.310 ± 0.008 || 99.45 ± 0.12 || 101.93 ± 0.11 || 103.59 ± 0.10

Latest revision as of 07:19, 18 January 2019

Introduction[edit]

This section outlines the unit-conversion and colour-correction protocol for Planck/HFI, based on the measurements of the HFI detector chain spectral response (see Planck-2013-IX[1] and here for the description of the spectral response pre-launch measurements). These descriptions apply to individual detector responses and individual detector maps.

Maps which are made from combinations of detectors have an effective spectral response which is a weighted combination of the responses of each detector, and in principle it varies from pixel-to-pixel. The Reduced Instrument Model (RIMO) files contain the average spectral response for each type of (individual and combination) map produced.

Please note that the combined-detector maps produced in 2018 are made with the SRoll map-making code, which involves a correction for “bandpass mismatch” due to the spectral response imbalance between PSBs leading to intensity-to-polarization leakage. This correction is achieved by determining differences in response of individual detectors to specific foregrounds with respect to the CMB calibration. As a result of this correction, the effective bandpass of the combined-detector 2018 PR maps is the straight average of the spectral response of individual detectors, whereas for the equivalent 2015 or 2013 maps, the effective bandpass is the average of the spectral response of individual detectors weighted by the number of hits in each pixel. The bandpasses described in the 2018 and 2015 RIMOs are therefore not the same, and colour corrections are consequently slightly different. Single bolometer within a frequency band show response to foregrounds which differs from the CMB calibrated one (colour correction). Combination of PR2 single bolometer maps could be used to recover (or help recovering) foreground components (including narrow-band components such as CO line emission). Since the 2018 spectral response imbalances of individual detector maps can no longer be used for this purpose, we do not deliver them.

HFI Spectral Response[edit]

The band-averaged HFI spectral response data are shown in the figure below, and provided in the the instrument model. Similar data are available for individual detectors as well as sub-band averaged data sets (i.e., detset1, detset2, PSBs, SWBs). A table summarizing some of the spectral properties of the individual detectors, and band-averaged spectra, is shown at the bottom of this page.

Band-averaged HFI transmission spectra. Vertical bars illustrate the CO rotational transition frequencies.

The band-averaged spectrum for a given frequency band is derived using a hit-map-normalized inverse-square noise-weighted detector spectrum average. Thus, the effective band-averaged spectrum in question changes depending on Planck's coverage of the region of sky in question. This may change between different subsets of the Planck data, e.g., surveys, detector sets, etc. The histograms below demonstrate the variation across the sky of the detector weight coefficients used to determine the band-averaged spectra. Thus, the validity of using a single band-averaged spectrum for an entire sky map, may require evaluation depending on the task at hand. Some analyses may require incorporating the variation of the relative detector weights across the sky in order to understand the differential spectral transmission between complementary maps (e.g., detset-1 versus detset-2 maps). There are four groupings to consider with respect to the relative weighting of the individual detector contribution to the Planck data, and hence the relative contribution of a given detector spectrum to a band-averaged spectrum or sub-band-average spectrum: ring; detset; survey; and mask. There are three possible combinations for the ring grouping, accounting for whether the full ring is used in the map, just the first half, or the last half; the notation used here is F+L for the full ring, F for the first half, and L for the last half. The detset grouping has between three and five combinations per frequency band, accounting for the detectors to include in the average, including all detectors, detset1, detset2, only the PSB detectors (PSBs), or only the SWB detectors (SWBs). There are 11 possible survey options, including the full mission, nominal mission, Survey 1, Survey 2, Survey 3, Survey 4, Survey 5, Year 1, Year 2, Half-mission 1, and Half-mission 2. There are also six nominal masking options for the maps including 100%, 99%, 97%, 90%, 80%, and 60% of the sky (various degrees of masking the Galactic plane). Thus, for a given frequency band there could be up to almost 1000 (sub-)band-averaged spectra. While the images below only show the variation of detector contribution to the average for the full and nominal missions, a similar evaluation was conducted across the entire parameter space to determine the relevant average spectrum. This parameter space is also considered in determining the effective unit-conversion and colour-correction coefficients (see below).

Variation of individual detector contributions to band-averaged frequency maps across the sky, for various HFI surveys.

Colour Correction[edit]

As described in Planck-2013-IX[1], several unit-conversion and colour-correction coefficients may be useful in the analysis of Planck data. These include conversion from CMB temperature units to MJy sr-1, and colour-correction coefficients for conversion to a variety of spectral profiles. Software routines to determine these coefficients are provided here, and some example tables are provided here. A text file containing unit-conversion and colour-correction coefficients for all of the individual HFI detectors, as well as the band-averaged and sub-band-averaged spectra, is included at the bottom of this page. This file contains all of the iterations for the sub-band-averaged spectra, including ring, detset, survey, and mask variations.

The integration ranges used in determining the unit-conversion and colour-correction coefficients provided were 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.

Colour-correction (α = -1 to +2) stability with integration cut-off variation. The horizontal bars illustrate the nominal colour-correction values. Similar results are found for the integration cut-on.


The following table presents basic characteristics of the HFI detector spectral response, including optical efficiency, effective frequency, etc. Further details on the definition of these parameters are available in Planck-2013-IX[1].

Properties of HFI detector spectra
Band [GHz] νcut-on [GHz] νcut-off [GHz] BW [GHz] νcen. [GHz] νeff. [GHz] ε εInt. ν-1 [GHz] ν+2 [GHz] ν+4 [GHz]
100-1a 84.8 ± 0.5 113.96 ± 0.16 29.1 ± 0.6 99.4 ± 0.3 100.28 ± 0.11 0.419 ± 0.008 0.310 ± 0.008 99.45 ± 0.12 101.93 ± 0.11 103.59 ± 0.10
100-1b 86.5 ± 1.0 115.32 ± 0.08 28.8 ± 1.0 100.9 ± 0.5 100.87 ± 0.11 0.563 ± 0.011 0.324 ± 0.011 100.06 ± 0.11 102.51 ± 0.10 104.18 ± 0.09
100-2a 86.0 ± 0.6 116.4 ± 0.4 30.4 ± 0.9 101.2 ± 0.3 101.34 ± 0.12 0.550 ± 0.012 0.372 ± 0.012 100.38 ± 0.12 103.34 ± 0.11 105.47 ± 0.10
100-2b 84.3 ± 0.5 115.5 ± 0.4 31.3 ± 0.7 99.9 ± 0.3 101.19 ± 0.11 0.634 ± 0.009 0.334 ± 0.009 100.23 ± 0.11 103.14 ± 0.10 105.16 ± 0.09
100-3a 84.21 ± 0.17 117.36 ± 0.06 33.14 ± 0.18 100.78 ± 0.09 101.64 ± 0.12 0.493 ± 0.005 0.331 ± 0.005 100.68 ± 0.12 103.60 ± 0.10 105.60 ± 0.09
100-3b 84.19 ± 0.19 116.81 ± 0.16 32.6 ± 0.2 100.50 ± 0.13 100.63 ± 0.12 0.426 ± 0.004 0.281 ± 0.004 99.74 ± 0.12 102.45 ± 0.11 104.35 ± 0.10
100-4a 84.74 ± 0.07 118.09 ± 0.09 33.34 ± 0.12 101.42 ± 0.05 101.77 ± 0.12 0.461 ± 0.003 0.255 ± 0.003 100.77 ± 0.13 103.82 ± 0.11 105.96 ± 0.10
100-4b 84.9 ± 0.3 118.30 ± 0.05 33.4 ± 0.3 101.58 ± 0.14 101.91 ± 0.13 0.396 ± 0.003 0.258 ± 0.003 100.92 ± 0.13 103.92 ± 0.12 105.98 ± 0.10
100-avg 84.4 ± 0.3 117.36 ± 0.05 32.9 ± 0.3 100.89 ± 0.13 101.31 ± 0.05 0.479 ± 0.003 0.304 ± 0.003 100.36 ± 0.05 103.24 ± 0.05 105.25 ± 0.04
100-detset1 84.77 ± 0.05 117.81 ± 0.06 33.03 ± 0.08 101.29 ± 0.04 101.43 ± 0.07 0.4199 ± 0.0020 0.2645 ± 0.0020 100.49 ± 0.07 103.35 ± 0.06 105.34 ± 0.06
100-detset2 84.3 ± 0.3 117.14 ± 0.05 32.8 ± 0.3 100.72 ± 0.13 101.25 ± 0.06 0.505 ± 0.003 0.321 ± 0.003 100.31 ± 0.06 103.19 ± 0.06 105.21 ± 0.05
143-1a 121.2 ± 0.4 162 ± 2 41 ± 2 141.5 ± 1.1 141.71 ± 0.04 0.66 ± 0.02 0.43 ± 0.02 140.37 ± 0.04 144.48 ± 0.04 147.35 ± 0.03
143-1b 119.99 ± 0.03 162.8 ± 0.7 42.8 ± 0.8 141.4 ± 0.4 142.29 ± 0.04 0.608 ± 0.007 0.347 ± 0.007 140.97 ± 0.04 145.02 ± 0.04 147.79 ± 0.04
143-2a 119.7 ± 0.2 162.76 ± 0.05 43.1 ± 0.2 141.21 ± 0.11 141.79 ± 0.04 0.626 ± 0.003 0.449 ± 0.003 140.42 ± 0.04 144.61 ± 0.04 147.51 ± 0.04
143-2b 119.2 ± 0.4 163.3 ± 0.5 44.1 ± 0.6 141.3 ± 0.3 142.50 ± 0.04 0.619 ± 0.007 0.443 ± 0.007 141.17 ± 0.05 145.21 ± 0.04 148.00 ± 0.04
143-3a 120.2 ± 0.3 158.8 ± 0.4 38.6 ± 0.5 139.5 ± 0.2 140.51 ± 0.05 0.970 ± 0.008 0.539 ± 0.008 139.17 ± 0.05 143.28 ± 0.05 146.09 ± 0.05
143-3b 119.88 ± 0.04 161.3 ± 1.0 41.4 ± 1.0 140.6 ± 0.5 141.63 ± 0.05 0.718 ± 0.012 0.457 ± 0.012 140.28 ± 0.05 144.41 ± 0.04 147.22 ± 0.04
143-4a 118.7 ± 0.2 168.21 ± 0.03 49.5 ± 0.2 143.47 ± 0.12 142.71 ± 0.04 0.532 ± 0.002 0.324 ± 0.002 141.29 ± 0.05 145.61 ± 0.04 148.56 ± 0.04
143-4b 119.0 ± 0.3 161.58 ± 0.04 42.6 ± 0.3 140.27 ± 0.14 142.19 ± 0.05 0.538 ± 0.003 0.339 ± 0.003 140.87 ± 0.05 144.87 ± 0.04 147.59 ± 0.04
143-5 119.9 ± 0.3 166.608 ± 0.016 46.7 ± 0.3 143.28 ± 0.16 144.24 ± 0.04 0.386 ± 0.002 0.305 ± 0.002 142.93 ± 0.04 146.86 ± 0.04 149.48 ± 0.03
143-6 119.97 ± 0.20 166.14 ± 0.04 46.2 ± 0.2 143.06 ± 0.10 143.00 ± 0.04 0.4531 ± 0.0016 0.3128 ± 0.0016 141.66 ± 0.05 145.72 ± 0.04 148.49 ± 0.04
143-7 120.39 ± 0.07 167.5 ± 0.3 47.1 ± 0.3 143.95 ± 0.15 144.46 ± 0.04 0.427 ± 0.002 0.308 ± 0.002 143.14 ± 0.05 147.09 ± 0.04 149.69 ± 0.04
143-8 120.7 ± 0.4 165.59 ± 0.06 44.8 ± 0.4 143.16 ± 0.18 143.55 ± 0.04 0.393 ± 0.002 0.277 ± 0.002 142.18 ± 0.05 146.30 ± 0.04 149.02 ± 0.04
143-avg 119.994 ± 0.018 165.76 ± 0.04 45.76 ± 0.05 142.876 ± 0.018 142.710 ± 0.012 0.5069 ± 0.0007 0.3669 ± 0.0007 141.363 ± 0.012 145.458 ± 0.011 148.235 ± 0.011
143-detset1 120.05 ± 0.03 160.18 ± 0.09 40.13 ± 0.10 140.12 ± 0.05 141.45 ± 0.02 0.7049 ± 0.0017 0.4614 ± 0.0017 140.11 ± 0.02 144.22 ± 0.02 147.05 ± 0.02
143-detset2 118.95 ± 0.08 164.9 ± 0.8 45.9 ± 0.8 141.9 ± 0.4 142.27 ± 0.02 0.507 ± 0.007 0.379 ± 0.007 140.91 ± 0.02 145.05 ± 0.02 147.902 ± 0.019
143-SWBs 120.17 ± 0.03 166.308 ± 0.018 46.14 ± 0.04 143.238 ± 0.017 143.96 ± 0.02 0.3967 ± 0.0006 0.3123 ± 0.0006 142.64 ± 0.02 146.63 ± 0.02 149.282 ± 0.020
217-1 189.0 ± 0.4 251.24 ± 0.05 62.2 ± 0.4 220.14 ± 0.20 222.817 ± 0.016 0.414 ± 0.002 0.322 ± 0.002 221.099 ± 0.016 226.274 ± 0.017 229.76 ± 0.02
217-2 188.66 ± 0.02 253.68 ± 0.02 65.03 ± 0.04 221.169 ± 0.017 223.231 ± 0.018 0.4575 ± 0.0004 0.3624 ± 0.0004 221.430 ± 0.018 226.814 ± 0.018 230.35 ± 0.02
217-3 190.49 ± 0.05 253.174 ± 0.018 62.68 ± 0.06 221.83 ± 0.03 223.116 ± 0.016 0.4125 ± 0.0004 0.3257 ± 0.0004 221.440 ± 0.017 226.458 ± 0.016 229.774 ± 0.019
217-4 190.8 ± 0.4 253.219 ± 0.017 62.4 ± 0.4 222.03 ± 0.18 222.717 ± 0.018 0.4043 ± 0.0018 0.3132 ± 0.0018 221.033 ± 0.018 226.116 ± 0.017 229.55 ± 0.02
217-5a 182.69 ± 0.07 253.2 ± 0.6 70.5 ± 0.6 217.9 ± 0.3 220.421 ± 0.017 0.548 ± 0.003 0.387 ± 0.003 218.489 ± 0.018 224.293 ± 0.017 228.15 ± 0.02
217-5b 182.75 ± 0.06 250.1 ± 0.4 67.3 ± 0.4 216.41 ± 0.19 220.655 ± 0.018 0.621 ± 0.002 0.377 ± 0.002 218.746 ± 0.018 224.465 ± 0.018 228.234 ± 0.020
217-6a 182.284 ± 0.020 253.70 ± 0.02 71.41 ± 0.03 217.991 ± 0.014 220.619 ± 0.018 0.4497 ± 0.0003 0.3019 ± 0.0003 218.705 ± 0.018 224.441 ± 0.018 228.24 ± 0.02
217-6b 182.85 ± 0.04 253.373 ± 0.015 70.52 ± 0.04 218.113 ± 0.019 220.619 ± 0.017 0.5274 ± 0.0004 0.3349 ± 0.0004 218.707 ± 0.017 224.408 ± 0.016 228.109 ± 0.017
217-7a 188.217 ± 0.019 253.88 ± 0.02 65.66 ± 0.03 221.049 ± 0.012 220.766 ± 0.016 0.4299 ± 0.0003 0.3065 ± 0.0003 218.925 ± 0.016 224.458 ± 0.016 228.122 ± 0.018
217-7b 189.22 ± 0.03 250.88 ± 0.02 61.66 ± 0.04 220.054 ± 0.018 220.332 ± 0.018 0.4371 ± 0.0003 0.2776 ± 0.0003 218.468 ± 0.018 224.055 ± 0.018 227.718 ± 0.019
217-8a 181.98 ± 0.02 253.722 ± 0.018 71.74 ± 0.03 217.852 ± 0.013 220.510 ± 0.018 0.5282 ± 0.0003 0.3768 ± 0.0003 218.544 ± 0.019 224.432 ± 0.018 228.32 ± 0.02
217-8b 181.875 ± 0.013 252.99 ± 0.04 71.12 ± 0.04 217.433 ± 0.018 220.712 ± 0.017 0.6265 ± 0.0004 0.3872 ± 0.0004 218.837 ± 0.018 224.440 ± 0.017 228.127 ± 0.020
217-avg 188.892 ± 0.012 253.419 ± 0.007 64.527 ± 0.014 221.156 ± 0.006 221.915 ± 0.005 0.39900 ± 0.00013 0.33846 ± 0.00013 220.113 ± 0.005 225.517 ± 0.005 229.097 ± 0.006
217-detset1 183.32 ± 0.15 253.61 ± 0.02 70.29 ± 0.15 218.46 ± 0.07 220.548 ± 0.009 0.4577 ± 0.0007 0.3053 ± 0.0007 218.666 ± 0.010 224.312 ± 0.009 228.038 ± 0.010
217-detset2 182.159 ± 0.012 253.592 ± 0.008 71.433 ± 0.015 217.875 ± 0.007 220.614 ± 0.009 0.47458 ± 0.00016 0.34838 ± 0.00016 218.697 ± 0.009 224.429 ± 0.009 228.200 ± 0.010
217-SWBs 189.02 ± 0.06 253.247 ± 0.014 64.22 ± 0.06 221.14 ± 0.03 222.957 ± 0.008 0.4072 ± 0.0003 0.3226 ± 0.0003 221.241 ± 0.008 226.395 ± 0.008 229.834 ± 0.010
353-1 306.3 ± 0.5 406.8 ± 0.4 100.5 ± 0.7 356.5 ± 0.3 360.289 ± 0.018 0.540 ± 0.003 0.390 ± 0.003 357.546 ± 0.018 365.762 ± 0.019 371.15 ± 0.02
353-2 305.82 ± 0.16 409.697 ± 0.020 103.88 ± 0.16 357.76 ± 0.08 360.866 ± 0.019 0.5947 ± 0.0008 0.4515 ± 0.0008 358.005 ± 0.019 366.615 ± 0.020 372.29 ± 0.02
353-3a 308.5 ± 0.3 404.77 ± 0.03 96.3 ± 0.3 356.63 ± 0.13 359.59 ± 0.02 0.4106 ± 0.0008 0.2862 ± 0.0008 357.16 ± 0.02 364.49 ± 0.02 369.37 ± 0.02
353-3b 308.3 ± 0.4 406.230 ± 0.015 98.0 ± 0.4 357.24 ± 0.19 359.65 ± 0.02 0.4689 ± 0.0014 0.3546 ± 0.0014 357.02 ± 0.02 365.01 ± 0.02 370.41 ± 0.02
353-4a 321.275 ± 0.018 407.94 ± 0.11 86.66 ± 0.11 364.61 ± 0.06 362.224 ± 0.018 0.4334 ± 0.0004 0.3119 ± 0.0004 359.944 ± 0.017 366.853 ± 0.019 371.52 ± 0.02
353-4b 311.71 ± 0.05 407.71 ± 0.03 96.00 ± 0.06 359.71 ± 0.02 362.212 ± 0.019 0.4152 ± 0.0003 0.3123 ± 0.0003 359.739 ± 0.019 367.22 ± 0.02 372.23 ± 0.02
353-5a 302.25 ± 0.04 406.41 ± 0.15 104.17 ± 0.16 354.33 ± 0.08 358.73 ± 0.02 0.3991 ± 0.0005 0.2965 ± 0.0005 355.88 ± 0.02 364.42 ± 0.02 370.01 ± 0.02
353-5b 301.37 ± 0.05 416.77 ± 0.05 115.40 ± 0.07 359.07 ± 0.03 358.84 ± 0.02 0.3626 ± 0.0002 0.2542 ± 0.0002 355.80 ± 0.02 364.98 ± 0.02 371.11 ± 0.03
353-6a 302.4 ± 0.4 407.99 ± 0.03 105.6 ± 0.4 355.19 ± 0.19 359.91 ± 0.03 0.3036 ± 0.0007 0.1946 ± 0.0007 357.09 ± 0.03 365.58 ± 0.03 371.18 ± 0.03
353-6b 314.08 ± 0.03 398.19 ± 0.04 84.11 ± 0.05 356.13 ± 0.02 356.06 ± 0.02 0.2990 ± 0.0002 0.2193 ± 0.0002 353.67 ± 0.02 360.93 ± 0.02 365.83 ± 0.03
353-7 323.2 ± 1.6 406.0 ± 0.9 83 ± 2 364.6 ± 0.7 363.35 ± 0.03 0.313 ± 0.006 0.272 ± 0.006 360.84 ± 0.03 368.40 ± 0.02 373.41 ± 0.03
353-8 309 ± 3 408.20 ± 0.08 99 ± 3 358.5 ± 1.7 365.10 ± 0.02 0.374 ± 0.011 0.294 ± 0.011 362.25 ± 0.02 370.82 ± 0.02 376.53 ± 0.04
353-avg 306.8 ± 0.6 408.22 ± 0.02 101.4 ± 0.6 357.5 ± 0.3 361.290 ± 0.008 0.4057 ± 0.0019 0.3353 ± 0.0019 358.564 ± 0.008 366.764 ± 0.009 372.193 ± 0.010
353-detset1 303.582 ± 0.016 406.333 ± 0.018 102.75 ± 0.03 354.957 ± 0.011 359.156 ± 0.011 0.39123 ± 0.00015 0.29902 ± 0.00015 356.386 ± 0.011 364.744 ± 0.011 370.302 ± 0.012
353-detset2 318.885 ± 0.015 407.86 ± 0.02 88.97 ± 0.03 363.372 ± 0.013 360.870 ± 0.013 0.35915 ± 0.00014 0.28730 ± 0.00014 358.409 ± 0.013 365.850 ± 0.013 370.837 ± 0.013
353-SWBs 306.3 ± 0.4 408.81 ± 0.03 102.5 ± 0.4 357.56 ± 0.18 361.921 ± 0.013 0.4381 ± 0.0013 0.3575 ± 0.0013 359.158 ± 0.013 367.455 ± 0.013 372.930 ± 0.015
545-1 466.41 ± 0.03 642.58 ± 0.05 176.17 ± 0.06 554.50 ± 0.03 559.83 ± 0.05 0.37600 ± 0.00018 0.29576 ± 0.00018 554.44 ± 0.07 570.00 ± 0.03 579.24 ± 0.02
545-2 466.78 ± 0.03 641.44 ± 0.07 174.66 ± 0.08 554.11 ± 0.04 556.05 ± 0.05 0.31937 ± 0.00019 0.26874 ± 0.00019 550.61 ± 0.07 566.37 ± 0.03 575.78 ± 0.03
545-3 470.6 ± 0.9 637.44 ± 0.05 166.9 ± 0.9 554.0 ± 0.4 557.40 ± 0.08 0.2536 ± 0.0011 0.2127 ± 0.0011 552.26 ± 0.13 567.14 ± 0.04 576.05 ± 0.03
545-4 470.9 ± 0.3 638.52 ± 0.10 167.6 ± 0.3 554.73 ± 0.16 556.85 ± 0.05 0.2630 ± 0.0004 0.2143 ± 0.0004 551.76 ± 0.08 566.48 ± 0.03 575.32 ± 0.02
545-avg 469.5 ± 0.6 640.81 ± 0.03 171.3 ± 0.6 555.2 ± 0.3 557.53 ± 0.03 0.3036 ± 0.0008 0.2612 ± 0.0008 552.22 ± 0.04 567.596 ± 0.016 576.778 ± 0.014
545-detset1 466.44 ± 0.02 642.36 ± 0.04 175.91 ± 0.05 554.40 ± 0.02 557.86 ± 0.03 0.32548 ± 0.00013 0.28031 ± 0.00013 552.43 ± 0.05 568.118 ± 0.020 577.458 ± 0.018
545-detset2 470.9 ± 0.3 638.52 ± 0.09 167.6 ± 0.3 554.73 ± 0.18 556.85 ± 0.05 0.2631 ± 0.0004 0.2143 ± 0.0004 551.76 ± 0.08 566.48 ± 0.03 575.32 ± 0.02
857-1 748.7 ± 0.9 992.5 ± 0.3 243.8 ± 1.0 870.6 ± 0.5 866.05 ± 0.10 0.2595 ± 0.0010 0.2283 ± 0.0010 858.1 ± 0.3 880.89 ± 0.03 894.38 ± 0.03
857-2 726.3 ± 0.4 989.09 ± 0.13 262.8 ± 0.4 857.7 ± 0.2 860.55 ± 0.08 0.2435 ± 0.0003 0.1973 ± 0.0003 852.28 ± 0.19 876.22 ± 0.03 890.59 ± 0.03
857-3 742.0 ± 0.5 991.7 ± 1.4 249.7 ± 1.5 866.8 ± 0.7 864.92 ± 0.09 0.2888 ± 0.0015 0.2573 ± 0.0015 857.0 ± 0.2 879.90 ± 0.03 893.53 ± 0.03
857-4 731.4 ± 0.4 979.9 ± 0.2 248.4 ± 0.4 855.7 ± 0.2 854.75 ± 0.09 0.1414 ± 0.0002 0.1189 ± 0.0002 847.2 ± 0.2 868.94 ± 0.03 881.94 ± 0.03
857-avg 743.9 ± 0.5 989.78 ± 0.08 245.9 ± 0.5 866.8 ± 0.3 862.68 ± 0.05 0.2412 ± 0.0005 0.2165 ± 0.0005 854.69 ± 0.11 877.724 ± 0.017 891.462 ± 0.014
857-detset1 736.9 ± 0.3 990.38 ± 0.06 253.4 ± 0.3 863.65 ± 0.13 863.42 ± 0.07 0.2446 ± 0.0002 0.2121 ± 0.0002 855.33 ± 0.16 878.67 ± 0.02 892.59 ± 0.02
857-detset2 741.79 ± 0.14 987.01 ± 0.09 245.22 ± 0.18 864.40 ± 0.08 861.74 ± 0.08 0.23780 ± 0.00017 0.21419 ± 0.00017 853.89 ± 0.18 876.53 ± 0.03 890.03 ± 0.03

File containing table of detector coefficients and band-average coefficients[edit]

File:HFI_UcCC_v307_withMaskData.gz

References[edit]

  1. 1.01.11.2 Planck 2013 results. IX. HFI spectral response, Planck Collaboration, 2014, A&A, 571, A9.

(Planck) High Frequency Instrument

reduced IMO

Cosmic Microwave background