Difference between revisions of "Frequency maps"

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These steps are followed by some post-processing, which is designed to prepare the maps for the component-separation work.  This post processing consists of the following elements.  
 
These steps are followed by some post-processing, which is designed to prepare the maps for the component-separation work.  This post processing consists of the following elements.  
  
; Dust bandpass leakage correction: The <i>Q</i> and <i>U</i> maps are corrected for the intensity-to-polarisation leakage caused by the foregrounds having a non-CMB spectrum, and as a consequence of the non-identical bandpasses of the different detectors ("bandpass mismatch", or BPM). This correction is determined using the "ground" method, as described in section 7.3 of {{PlanckPapers|planck2014-a09}}. These correction maps can be found in the Planck Legacy Archive as ''HFI_CorrMap_???-dustleak-ground_2048_R2.0?_{coverage}.fits''. The correction is applied by subtracting the correction map from the corresponding input map.  This correction is not applied to the nominal mission maps, in order to maintain compatibility with the PR1 products.
+
; Dust bandpass leakage correction: The <i>Q</i> and <i>U</i> maps are corrected for the intensity-to-polarisation leakage caused by the foregrounds having a non-CMB spectrum, and as a consequence of the non-identical bandpasses of the different detectors ("bandpass mismatch", or BPM). This correction is determined using the "ground" method, as described in section 7.3 of {{PlanckPapers|planck2014-a09}}. These correction maps can be found in the Planck Legacy Archive as ''HFI_CorrMap_???-dustleak-ground_2048_R2.0?_{coverage}.fits''. The correction is applied by subtracting the correction map from the corresponding input map.  This correction is not applied to the nominal mission maps, in order to maintain compatibility with the PR1 products. ''In fact this correction was computed and applied only to the products used in component separation'', so they were not applied to the single survey maps and to the half-ring maps, which are considered characterisation products.
 
; Far sidelobe calibration correction: The 100, 143 and 217GHz maps are multiplied by factors of 1.00087, 1.00046, and 1.00043, respectively, to compensate for the non-removal of the far sidelobes, and similarly the corresponding covariance maps have also been corrected by multiplication by the square of this factor.
 
; Far sidelobe calibration correction: The 100, 143 and 217GHz maps are multiplied by factors of 1.00087, 1.00046, and 1.00043, respectively, to compensate for the non-removal of the far sidelobes, and similarly the corresponding covariance maps have also been corrected by multiplication by the square of this factor.
 
; Fill missing pixels: Missing pixels are filled in with a value that is the mean of valid pixels within a given radius.  A radius of 1&deg; is used for the full channel maps, and 1.5&deg; is used for the detector-set maps.  This step is not applied to the single survey maps, since they contain large swaths of the sky that are not covered.
 
; Fill missing pixels: Missing pixels are filled in with a value that is the mean of valid pixels within a given radius.  A radius of 1&deg; is used for the full channel maps, and 1.5&deg; is used for the detector-set maps.  This step is not applied to the single survey maps, since they contain large swaths of the sky that are not covered.

Revision as of 14:08, 28 February 2017


Warning: Display title "2016 Sky temperature and polarization maps" overrides earlier display title "Sky temperature and polarization maps".

General description[edit]

Sky maps give the best estimate of the intensity and polarization (Stokes Q and U components), if available, of the signal from the sky after removal, as far as possible, of known systematic effects (mostly instrumental, but including also the solar and Earth-motion dipoles, Galactic stray light, and the zodiacal light). Sky maps are provided for the full Planck mission using all valid detectors in each frequency channel, and also for various subsets by splitting the mission in various time ranges or in subsets of the detectors in a given channel. These products are useful for the study of source variability, but they are especially interesting for characterization purposes (see also the data validation section). The details of the start and end of the time ranges are given in the table below.

To help in further processing, there are also masks of the Galactic plane and of point sources, each provided for several different depths.

All sky maps are in HEALPix format, with Nside=1024 (for LFI 30, 44, and 70GHz) and 2048 (for LFI 70GHz and HFI), in Galactic coordinates, and with nested ordering.

WARNING
The HEALPix convention for polarization is not the same as the IAU convention (Section 8 on this page).

The signal is given in units of KCMB for 30 to 353 GHz, and of MJy.sr-1 (for a constant νIν energy distribution) for 545 and 857 GHz. For each frequency channel, the intensity and polarization maps are packaged into a "BINTABLE" extension of a FITS file together with a hit-counts map (or "hits map", for short, giving the number of observation samples that are accumulated in a pixel, all detectors combined) and with the variance and covariance maps. Additional information is given in the FITS file header. The structure of the FITS file is given in the FITS file structure section below.

R2.00 
This first release (Jan 2015) contains polarization data for the 353 GHz channel only.
R2.01 
This second release (May 2015) adds polarization data to the 100-217 GHz channels.
R2.02 
A full re-release to correct the HEALPix bad pixel values in the maps, which was altered during the preparation of the maps and not reset to the correct values (although the valid pixels are unchanged). It also fixes some FITS keywords, and includes a full re-release of the zodiacal light correction maps, with the 100 to 217 GHz ones now including the polarization correction)
Ranges for mission and surveys
Range ODs HFI rings pointing-IDs Comment
Nominal mission 91 - 563 240 - 14723 00004200 - 03180200
Full mission 91 - 974 240 - 27005 00004200 - 05322620 For HFI
Full mission 91 - 1543 n/a 00004200 - 06511160 For LFI
Survey 1 91 - 270 240 - 5720 00004200 - 01059820
Survey 2 270 - 456 5721 - 11194 01059830 - 02114520
Survey 3 456 - 636 11195 - 16691 02114530 - 03193660
Survey 4 636 - 807 16692 - 21720 03193670 - 04243900
Survey 5 807 - 974 21721 - 27005 05267180 - 05322590 End of mission for HFI
Survey 5 807 - 993 n/a 05267180 - 06344800 End of survey for LFI
Survey 6 993 - 1177 n/a 06344810 - 06398120 LFI only
Survey 7 1177 - 1358 n/a 06398130 - 06456410 LFI only
Survey 8 1358 - 1543 n/a 06456420 - 06511160 LFI only
Survey 9 1543 - 1604 n/a 06511170 - 06533320 LFI only (not in this delivery)
HFI mission-half-1 91 - 531 240 - 13471 00004200 - 03155580
HFI mission-half-2 531 - 974 13472 - 27005 03155590 - 05322590
LFI Year 1 91 - 456 n/a 00004200 - 02114520
LFI Year 2 456 - 807 n/a 02114530 - 04243900
LFI Year 3 807 - 1177 n/a 05267180 - 06398120
LFI Year 4 1177 - 1543 n/a 06398130 - 06511160

Production process[edit]

Sky maps are produced by appropriately combining the data from all working detectors in a frequency channel over some period of the mission. They give the best estimate of the signal from the sky (unpolarized) after removal, as far as possible, of known systematic effects and of the dipole signals induced by the motion of the solar system in the CMB and of the Planck satellite in the solar system. In particular, they include the zodiacal light emission ("zodi" for short) and also the scattering from the far sidelobes of the beams (FSL). More on this below.

HFI processing[edit]

The mapmaking and calibration process is described in detail in the mapmaking section and in the Planck-2015-A08[1] paper, where detailed references can be found. In brief it consists of the following steps.

Binning the TOI data onto "rings"
HEALPix rings (HPRs) are used here, each ring containing the combined data from one pointing period.
Flux calibration
At 100-353 GHz, the flux calibration factors are determined by correlating the signal with the orbital dipole, which is determined very accurately from the Planck satellite orbital parameters provided by Flight Dynamics. This provides a single gain factor per bolometer. At 545 and 857 GHz the gain is determined from the observations of Uranus and Neptune (but not Jupiter, which is too bright) and comparison to recent models made explicitly for this mission. A single gain is applied to all rings at these frequencies.
Destriping
In order to remove low-frequency noise, an offset per ring is determined (by minimizing the differences between HPRs at their crossings) and removed.
Zodiacal light correction
A zodiacal light model is used to build HPRs of the the zodi emission, which is subtracted from the calibrated HPRs.
Projection onto the map
The offset-corrected, flux-calibrated, and zodi-cleaned HPRs are projected onto HEALPix maps, with the data of each bolometer weighted by a factor of 1/NET of that bolometer.

These steps are followed by some post-processing, which is designed to prepare the maps for the component-separation work. This post processing consists of the following elements.

Dust bandpass leakage correction
The Q and U maps are corrected for the intensity-to-polarisation leakage caused by the foregrounds having a non-CMB spectrum, and as a consequence of the non-identical bandpasses of the different detectors ("bandpass mismatch", or BPM). This correction is determined using the "ground" method, as described in section 7.3 of Planck-2015-A08[1]. These correction maps can be found in the Planck Legacy Archive as HFI_CorrMap_???-dustleak-ground_2048_R2.0?_{coverage}.fits. The correction is applied by subtracting the correction map from the corresponding input map. This correction is not applied to the nominal mission maps, in order to maintain compatibility with the PR1 products. In fact this correction was computed and applied only to the products used in component separation, so they were not applied to the single survey maps and to the half-ring maps, which are considered characterisation products.
Far sidelobe calibration correction
The 100, 143 and 217GHz maps are multiplied by factors of 1.00087, 1.00046, and 1.00043, respectively, to compensate for the non-removal of the far sidelobes, and similarly the corresponding covariance maps have also been corrected by multiplication by the square of this factor.
Fill missing pixels
Missing pixels are filled in with a value that is the mean of valid pixels within a given radius. A radius of 1° is used for the full channel maps, and 1.5° is used for the detector-set maps. This step is not applied to the single survey maps, since they contain large swaths of the sky that are not covered.
Map zero-level
For the 100 to 857 GHz maps, the zero levels are set to their optimal levels for Galactic and cosmic infrared background studies. A procedure for adjusting them to astrophysical values is given in the HFI Mapmaking and Calibration paper, Planck-2015-A08[1].

These maps provide the main mission products. Together with signal maps, hit count, and variance maps are also produced. The hit maps give the (integer) number of valid TOI-level samples that contribute to the signal in each pixel. All valid samples are counted in the same way, i.e., there is no weighting factor applied. The variance maps project the white noise estimate, provided by the NETs, into the sky domain.

Note that the nominal mission maps have not had the post-processing applied, which makes them more easily comparable to the PR1 products.

LFI processing[edit]

LFI maps were constructed with the MADAM mapmaking code, version 3.7.4. The code is based on a generalized destriping technique, where the correlated noise component is modelled as a sequence of constant offsets, called "baselines". A noise filter was used to constrain the baseline solution, allowing the use of 0.25-s and 1-s baselines for the 30 and 44GHz, and 70 GHz channels, respectively.

Radiometers were combined according to the horn-uniform weighting scheme to minimize systematics. The weights used are listed in Mapmaking. The flagged samples were excluded from the analysis by setting their weights to Cw-1 = 0. The Galaxy region was masked out in the destriping phase, to reduce errors arising from strong signal gradients. The polarization component was included in the analysis.

Dipole and Far Side Lobe correction
Input timelines are cleaned by the 4π-convolved dipole and Galactic stray light, obtained as a convolution of the 4π in-band far sidelobes and Galactic simulations, as explained in section 7.4 of Planck-2015-A02[2].

Beam effects on the LFI maps are described in section 7.1 of Planck-2015-A02[2]. Scaling of the maps due to beam effects is taken into account in the LFI's beam functions (as provided in the RIMO) which should be used for analysis of diffuse components. To compute the flux densities of compact sources, correction must be made for beam effects (see table 8 of Planck-2015-A02[2]).

Bandpass leakage correction 
Unlike for the HFI, the LFI high-resolution maps have not been corrected for bandpass leakage. Only low resolution (Nside=256) maps are provided with the bandpass correction. The correction maps (LFI_CorrMap_0??-BPassCorr_*.fits) can be found in the Planck Legacy Archive. Further details about the procedure used to generate the bandpass correction maps can be found in section 11 of Planck-2015-A02[2].
Map zero-level 
The 30, 44 and 70 GHz, maps are corrected for a zero-level monopole by applying an offset correction (see the LFI Calibration paper, Planck-2015-A05[3]). Note that the offset applied is indicated in the header as a comment keyword.

A detailed description of the mapmaking procedure is given in Planck-2013-II[4], Planck-2015-A02[2], Planck-2015-A06[5] and in the Mapmaking section here.

Types of map[edit]

Full-mission, full-channel maps (6 HFI, 4 LFI)[edit]

Full channel maps are built using all the valid detectors of a frequency channel and cover either the full or the nominal mission. For HFI, the 143-8 and 545-3 bolometers are rejected entirely, since they are seriously affected by RTS noise. HFI provides the Q and U components for the 100, 143, 217 and 353 GHz channels only. LFI provides the I, Q, and U maps for all the channels. Note that the HFI Q and U maps are corrected for bandpass leakage, but the LFI Q and U maps are not. The I, Q, and U maps are displayed in the figures below. The colour range here is set using a histogram equalization scheme (from HEALPix) that is useful for these non-Gaussian data fields. For visualization purposes, the Q and U maps shown here have been smoothed with a 1° Gaussian kernel, otherwise they look like noise to the naked eye. The 70 GHz full map is also available at Nside=2048.

The high dynamic range colour scheme of the Planck maps is described here.




Nominal-mission, full-channel maps (6 HFI)[edit]

These maps are similar to the ones above, but cover the nominal mission only. They are meant primarily to be compared to the PR1 products in order to see the level of improvements in the processing. Because of this, they are produced in Stokes I only, and have not had the post-processing applied.

Single-survey, full-channel maps (30 HFI, 35 LFI)[edit]

Single-survey maps are built using all valid detectors of a frequency channel; they separately cover the different sky surveys. The surveys are defined as the times over which the satellite spin axis rotates by 180°, which, due to the position of the detectors in the focal plane does not cover the full sky, but a fraction between about 80% and 90%, depending on detector position. During adjacent surveys the sky is scanned in opposite directions (more precisely it is the ecliptic equator that is scanned in opposite directions). While these are useful to investigate variable sources, they are also used to study the systematics of the time-response of the detectors as they scan bright sources, like the Galactic Plane, in different directions during different survey. Note that the HFI and LFI missions cover five and eight surveys, respectively, and in the case of HFI the last survey in incomplete. The 70 GHz survey maps are available also at Nside=2048. Note that LFI provides a special survey-map combination used in the low-ℓ analysis; this maps, available at the three LFI frequencies, 30, 44, and 70 GHz, was built using the combination of Surveys 1, 3, 5, 6, 7, and 8.

Year maps, full-channel maps (12 HFI, 16 LFI)[edit]

These maps are built using the data of Surveys 1+2, Surveys 3+4, and so forth. They are used to study long-term systematic effects. The 70 GHz years maps are available also at Nside=2048.

Half-mission maps, full-channel maps (12 HFI, 12 LFI)[edit]

For HFI, the half mission is defined after eliminating those rings that are discarded for all bolometers. There are 347 such eliminated rings, many of which occurred during the 5th survey when the "End-of-Life" tests were performed. The remaining 26419 rings are divided in half (up to the odd ring) to define the two halves of the mission. This exercise is done for the full mission only.

For LFI, instead of the half-mission maps, the following year combinations have been created: Year 1+2, Year 1+3, Year 2+4, Year 3+4,

Full mission, single-detector maps (18 HFI, 22 LFI)[edit]

For HFI these maps are built only for the SWBs (unpolarized detectors) and contain only temperature data (of course). They are not built for the polarization-sensitive detectors because they are not fixed on the sky, since the polarization component depends on the position angle at the time of observation. Instead, we provide maps built by "quads" of polarization-sensitive detectors (see next section), which have different polarization angles and that can be used to build I, Q, and U maps.

HFI temperature-sensitive bolometers
Frequency Detector names
143 GHz 143-5, 6, 7
217 GHz 217-1, 2, 3, 4
353 GHz 353-1, 2, 7, 8
545 GHz 545-1, 2, 4
857 GHz 857-1, 2 , 3, 4

The 143-8 and 353-3 bolometer data are affected by strong RTS noise. They have not been used in the data processing, and are not delivered. For a figure showing the focal plane layout, see the Introduction of the Detector Pointing chapter.

For LFI, all the 22 Radiometers maps are available, and (obviously) only in Stokes I.

Full-mission, detector-set or detector-pairs maps (8 HFI, 8 LFI)[edit]

The objective here is to build independent temperature (I) and polarization (Q and U) maps using the two pairs of polarization-sensitive detectors of each channel where they are available, i.e., for the 44-353 GHz channels. The table below indicates which detectors were used to build each detector set (detset).


Definition of HFI detector sets
Frequency DetSet1 DetSet2
100 GHz 100-1a/b and 100-4a/b 100-2a/b and 100-3a/b
143 GHz 143-1a/b 1 and 43-3a/b 143-2a/b and 143-4a/b
217 GHz 217-5a/b and 217-7a/b 217-6a/b and 217-8a/b
353 GHz 353-3a/b and 353-5a/b 353-4a/b and 353-6a/b
Definition of LFI detector pairs
Frequency Horn pair Comment
44 GHz 24 This map is only in temperature
44 GHz 25 and 26
70 GHz 18 and 23 Available also at Nside=2048
70 GHz 19 and 22 Available also at Nside=2048
70 GHz 20 and 21 Available also at Nside=2048

Half-ring maps (64 HFI, 62 LFI)[edit]

These maps are similar to the ones described above, but are built using only the first or the second halves of each ring (or pointing period). The HFI provides half-ring maps for the full mission only, as well as for the full channel, the detsets, and the single bolometers. The LFI provides half-ring maps for the full mission in each channel (70 GHz also at Nside=2048), for the full-mission radiometers, and for the full-mission horn pairs.

The zodiacal-light correction maps[edit]

The zodiacal light signal depends on the location of the observer relative to the zodiacal light structure, and thus it is not a fixed pattern on the sky but depends on the period of observation. The maps presented here are the difference between the uncorrected (and not delivered) and the corrected maps.

Note that while the zodi model that is subtracted at ring level (see here) is not polarized, the corrections are not null in Q and U. This is suspected to come from some combination of leakage due to bandpass differences and beam mismatch, although other effects may also contribute. These leakage levels are typically of order a few percent (at most) of the maximum zodi intensity at I for each channel. They range from about 150 nK at 100 GHz to about 5 uK at 353 GHz.

Caveats and known issues[edit]

HFI polarization 100-217 GHz 
At low multipoles, despite the progress that has been made to control the systematic effects present in the maps, polarization data between 100 and 217 GHz are still contaminated by systematic residuals. Figure 10 of Planck-2015-A08[1] shows the EE power spectra from the half-difference maps at 100, 143, and 217 GHz compared to the noise power spectrum from FFP8 simulations. The half-ring differences are compatible with noise, while at multipoles typically lower than 50, detector-set and half-mission differences are dominated by excess power that is larger than the EE CMB signal. The Planck Collaboration has used the range ℓ>30 to carry out component separation (Planck-2015-A09[6]), since data at ℓ<30 is not considered usable for cosmological analyses (but see Planck-2016-XLVI[7]). The origin of the excess power will be explored in a forthcoming publication.

Inputs[edit]

HFI inputs[edit]

The HFI mapmaking takes as input:

  • the cleaned TOIs of signal of each detector, together with their flags, produced by the TOI processing pipeline;
  • the TOIs of pointing (quaternions), described in Detector pointing;
  • bolometer-level characterization data, from the DPC's internal IMO (not distributed);
  • Planck orbit data, used to compute and remove the Earth's dipole;
  • Planck solar dipole information, used to calibrate the CMB channels;
  • Planet models used to calibrate the Galactic channels.

LFI inputs[edit]

The Madam mapmaker takes as input:

  • the calibrated timelines (for details see TOI Processing);
  • the detector pointings (for details see Detector pointing);
  • the noise information in the form of 3-parameter (white noise level, σ, slope, and knee frequency, fknee) noise model (for details see RIMO)

Related products[edit]

Masks[edit]

This section presents the masks of the point sources and of the Galactic plane. These are general purpose masks. Other masks specific to certain products are packaged with the products.

Point source masks[edit]

For HFI and LFI two sets of masks are provided:

  • Intensity masks, which removes sources detected with SNR > 5.
  • Polarisation masks, which remove sources which have polarisation detection significance of 99.97 % or greater at the position of a source detected in intensity. They were derived from the polarisation maps with dust ground bandpass mismatch leakage correction applied. The cut around each source has a radius of 3σ (width) of the beam ~ 1.27 FWHM (for LFI the cut around each source has a radius of 32 arcmin at 30GHz, 27 arcmin at 44 GHz and 13 arcmin at 70 GHz).

Both sets are found in the files HFI_Mask_PointSrc_2048_R2.00.fits and LFI_Mask_PointSrc_2048_R2.00.fits in which the first extension contains the Intensity masks, and the second contains the Polarisation masks.

Galactic plane masks[edit]

Eight masks are provided giving 20, 40, 60, 70, 80, 90, 97, and 99% sky coverage derived from the 353 GHz map, after CMB subtraction. They are independent of frequency channel. Three versions of these are given: not apodized, and apodized by 2 and 5 deg. The filenames are HFI_Mask_GalPlane-apoN_2048_R2.00.fits, where N = 0, 2, 5.

The masks are shows below. The 8 GalPlane masks are combined (added together) and shown in a single figure for each of the three apodization. While the result is quite clear for the case of no apodization, it is less so for the apodized case. The point source masks are shown separately for the Intensity case.

File names[edit]

The FITS filenames are of the form {H|L}FI_SkyMap_fff{-tag}_Nside_R2.nn_{coverage}-{type}.fits, where fff are three digits to indicate the Planck frequency band, tag indicates the single detector or the detset, Nside is the Healpix Nside of the map, coverage indicates which part of the mission is covered (full, half mission, survey, year, ...) , and the optional type indicates the subset of input data used. The table below lists the products by type, with the appropriate unix wildcards that form the full filename.

HFI FITS filenames
Coverage filename half-ring filename
Full chan, full mission HFI_SkyMap_???_2048_R2.??_full.fits HFI_SkyMap_???_2048_R2.??_full-ringhalf-?.fits
Full channel, nominal mission HFI_SkyMap_???_2048_R2.??_nominal.fits n/a
Full channel, single survey HFI_SkyMap_???_2048_R2.??_survey-?.fits n/a
Full channel, single year HFI_SkyMap_???_2048_R2.??_year-?.fits n/a
Full channel, half mission HFI_SkyMap_???_2048_R2.??_halfmission*-?.fits n/a
Det-set, full mission HFI_SkyMap_???-ds?_2048_R2.??_full.fits HFI_SkyMap_???-ds?_2048_R2.??_full-ringhalf-?.fits
Single SWB, full mission HFI_SkyMap_???-?_2048_R2.??_full.fits HFI_SkyMap_???-?_2048_R2.??_full-ringhalf-?.fits
LFI FITS filenames
Coverage filename half-ring filename Comment
Full channel, full mission LFI_SkyMap_???_1024_R2.??_full.fits LFI_SkyMap_???_1024_R2.??_full-ringhalf-?.fits Available also at Nside = 2048
Full channel, single survey LFI_SkyMap_???_1024_R2.??_survey-?.fits n/a Available also at Nside = 2048
Full channel, survey combination LFI_SkyMap_???_1024_R2.??_survey-1-3-5-6-7-8.fits n/a n/a
Full channel, single year LFI_SkyMap_???_1024_R2.??_year-?.fits n/a Available also at Nside = 2048
Full channel, year combination LFI_SkyMap_???_1024_R2.??_year?-?.fits n/a n/a
Horn pair, full mission LFI_SkyMap_???-??-??_1024_R2.??_full.fits LFI_SkyMap_???_??-??_1024_R2.??_full-ringhalf-?.fits Available also at Nside = 2048
Single radiometer, full mission LFI_SkyMap_???-???_1024_R2.??_full.fits LFI_SkyMap_???-???_1024_R2.??_full-ringhalf-?.fits n/a


For the benefit of users who are only looking for the frequency maps with no additional information, we also provide a file combining the 9 frequency maps as separate columns in a single extension. The 9 columns in this file contain the intensity maps ONLY and no other information (hit maps and variance maps) is provided.


FITS file structure[edit]

The FITS files for the sky maps contain a minimal primary header with no data, and a BINTABLE extension (EXTENSION 1, EXTNAME = FREQ-MAP) containing the data. The structure is shows schematically in the figure below. The FREQ-MAP extension contains a 3- or a 10-column table that contain the signal, hit-count and variance maps, all in Healpix format. The 3-column case is for intensity only maps, the 10-column case is for polarisation. The number of rows is the number of map pixels, which is Npix = 12 N_{side}2 for Healpix maps, where N_{side} = 1024 or 2048 for most the maps presented in this chapter.

FITS file structure

Note that file sizes are ~0.6 GB for I-only maps and ~1.9 GB for I,Q,U maps at N_{side} 2048 and ~0.14 GB for I-only maps and ~0.45 GB for I,Q,U maps at N_{side} 1024 .

Keywords indicate the coordinate system (GALACTIC), the Healpix ordering scheme (NESTED), the units (K_cmb or MJy/sr) of each column, and of course the frequency channel (FREQ). Where polarisation Q and U maps are provided, the COSMO polarisation convention (used in HEALPIX) is adopted, and it is specified in the POLCCONV keyword (see this section. The COMMENT fields give a one-line summary of the product, and some other information useful for traceability within the DPCs. The original filename is also given in the FILENAME keyword. The BAD_DATA keyword gives the value used by Healpix to indicate pixels for which no signal is present (these will also have a hit-count value of 0). The main parameters are summarised below:


Sky map file data structure
1. EXTNAME = 'FREQ-MAP' : Data columns
Column Name Data Type Units Description
I_STOKES Real*4 K_cmb or MJy/sr The Stokes I map
Q_STOKES Real*4 K_cmb or MJy/sr The Stokes Q map (optional)
U_STOKES Real*4 K_cmb or MJy/sr The Stokes U map (optional)
HITS Int*4 none The hit-count map
II_COV Real*4 K_cmb2 or (MJy/sr)2 The II variance map
IQ_COV Real*4 K_cmb2 or (MJy/sr)2 The IQ variance map (optional)
IU_COV Real*4 K_cmb2 or (MJy/sr)2 The IQ variance map (optional)
QQ_COV Real*4 K_cmb2 or (MJy/sr)2 The QQ variance map (optional)
QU_COV Real*4 K_cmb2 or (MJy/sr)2 The QU variance map (optional)
UU_COV Real*4 K_cmb2 or (MJy/sr)2 The UU variance map (optional)
Keyword Data Type Value Description
PIXTYPE string HEALPIX
COORDSYS string GALACTIC Coordinate system
ORDERING string NESTED Healpix ordering
POLCCONV String COSMO Polarization convention
NSIDE Int 1024 or 2048 Healpix N_{side}
FIRSTPIX Int*4 0 First pixel number
LASTPIX Int*4 12 N_{side}2 – 1 Last pixel number
FREQ string nnn The frequency channel


The same structure applies to all SkyMap products, independent of whether they are full channel, survey of half-ring. The distinction between the types of maps is present in the FITS filename (and in the traceability comment fields).

Polarization convention used in the Planck project[edit]

The Planck collaboration used the COSMO convention for the polarization angle (as usually used in space based CMB missions), whereas other astronomical fields usually use the IAU convention. In the following document we report the difference between these two conventions, and the consequence if it is NOT taken into account correctly in the analysis.

Figure 1. COSMO convention (left) and IAU convention (right). The versor \hat{z} points outwards the pointing direction in COSMO, and inwards in IAU. The bottom panel refers to the plane tangent to the sphere.

Changing the orientation convention is equivalent to a transformation \psi'=\pi-\psi of the polarization angle (Figure 1). The consequence of this transformation is the inversion of the Stokes parameter U. The components of the polarization tensor in the helicity basis \epsilon^{\pm}=1/\sqrt{2}(\hat{x}\pm i\hat{y}) are:

(Q+iU)(\hat{n}) = \sum _{\ell m}a_{2,lm}{}_{2}Y_{\ell }^{m}(\hat{n}) \\(Q-iU)(\hat{n}) = \sum _{\ell m}a_{-2,lm}{}_{2}Y_{\ell }^{m}(\hat{n})

where {}_{2}Y_{\ell }^{m}(\hat{n}) are the spin weighted spherical harmonic functions. The E and B modes can be defined as: E(\hat{n}) = \sum_{\ell m}a_{E,\ell m}Y_{\ell }^{m}(\hat{n}) \\B(\hat{n}) = \sum_{\ell m}a_{B,\ell m}Y_{\ell }^{m}(\hat{n})

where the coefficients a_{E,\ell m} and a_{B,\ell m} are derived from linear combinations of the a_{2,\ell m} , a_{-2,\ell m} defined implicitly in the first equation (Q\pm iU).

Test gradient.jpg
Figure 2. Error on Planck-LFI 70 GHz EE (top) and BB (bottom) spectra, in case of wrong choice of the coordinate system convention (IAU instead of COSMO).

The effect of the sign inversion of U on the polarization spectra is a non trivial mixing of E and B modes.

An example of the typical error on EE and BB auto-spectra in case of a wrong choice of the polarization basis is shown in Figure 2.

BE CAREFUL about the polarization convention you are using. If the IAU convention is used in computing the power spectra, the sign of the U component of the Planck maps must be inverted before computing E and B modes.

Note on the convention used by the Planck Catalogue of Compact Sources (PCCS)[edit]

For continuity with other compact sources catolgues, the Catalogue of Compact Sources provided by Planck follows the IAU convention, and the polarization angles are defined on an interval of [-90°,90°]. To switch to the COSMO convention, the polarization angles listed in the catalogue have to be shifted by 90° and multiplied by -1.

References[edit]


Previous releases[edit]

Expand

2015 Sky temperature and polarization maps

Expand

2013 Sky temperature maps

(Hierarchical Equal Area isoLatitude Pixelation of a sphere, <ref name="Template:Gorski2005">HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere, K. M. Górski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, M. Bartelmann, ApJ, 622, 759-771, (2005).

(Planck) Low Frequency Instrument

(Planck) High Frequency Instrument

Cosmic Microwave background

Flexible Image Transfer Specification

Noise Equivalent Temperature

random telegraphic signal

Data Processing Center

Full-Width-at-Half-Maximum

reduced IMO

analog to digital converter

To be confirmed

sudden change of the baseline level inside a ring

Attitude History File

[ESA's] Mission Operation Center [Darmstadt, Germany]

Line Of Sight