# Difference between revisions of "Specially processed maps"

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=== Description === | === Description === | ||

− | Here we present the minimum-variance (MV) lens reconstruction which forms the basis for the main results of < | + | Here we present the minimum-variance (MV) lens reconstruction which forms the basis for the main results of <cite>#planck2013-p12</cite>. This map is produced using a combination of the 143 and 217 GHz Planck maps on approximately 70% of the sky, and is the same map on which the Planck lensing likelihood is based. |

We distribute: | We distribute: | ||

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; MASK : This is a NSIDE = 2048 HEALPix map, containing the analysis mask used in the lens reconstruction. Note: the lensing map PHIBAR may take small but non-zero values inside the masked regions because it has been bandlimited. | ; MASK : This is a NSIDE = 2048 HEALPix map, containing the analysis mask used in the lens reconstruction. Note: the lensing map PHIBAR may take small but non-zero values inside the masked regions because it has been bandlimited. | ||

; RLPP : This column contains the response function $R_L^{\phi\phi}$. | ; RLPP : This column contains the response function $R_L^{\phi\phi}$. | ||

− | ; NLPP : This column contains a sky-averaged estimate of the noise power spectrum of PHIBAR, $N_L^{\phi\phi}$. The noise is highly coloured. There is a weak dependence of the noise power spectrum with the local noise level of the map, discussed in Appendix A of < | + | ; NLPP : This column contains a sky-averaged estimate of the noise power spectrum of PHIBAR, $N_L^{\phi\phi}$. The noise is highly coloured. There is a weak dependence of the noise power spectrum with the local noise level of the map, discussed in Appendix A of <cite>#planck2013-p12</cite>. Note that the noise power spectrum estimate here is not sufficiently accurate for a power spectrum analysis. |

=== Production process === | === Production process === | ||

− | The construction PHIBAR, RLPP and NLPP are described in detail in Sec. 2.1 of < | + | The construction PHIBAR, RLPP and NLPP are described in detail in Sec. 2.1 of <cite>#planck2013-p12</cite>. The response function $R_L^{\phi\phi}$ here is analogous to the the beam transfer function in a CMB temperature or polarization map. We have chosen to distribute this transfer-function convolved map rather than the normalized lens reconstruction as it is a significantly more localized function of the CMB temperature map from which it is derived, and therefore more useful for cross-correlation studies. |

===Inputs=== | ===Inputs=== | ||

This product is built from the 143 and 217 GHz Planck sky maps. | This product is built from the 143 and 217 GHz Planck sky maps. | ||

+ | |||

+ | ===References=== | ||

+ | |||

+ | <biblio force=false> | ||

+ | #[[References]] | ||

+ | </biblio> | ||

===File names and format=== | ===File names and format=== |

## Revision as of 03:27, 15 March 2013

## Overview

## Lensing map

### Description

Here we present the minimum-variance (MV) lens reconstruction which forms the basis for the main results of #planck2013-p12. This map is produced using a combination of the 143 and 217 GHz Planck maps on approximately 70% of the sky, and is the same map on which the Planck lensing likelihood is based.

We distribute:

- PHIBAR
- A (transfer-function convolved) map of the lensing potential, in NSIDE 2048 HEALPix([http://healpix.sourceforge.net Hierarchical Equal Area isoLatitude Pixelation of a sphere], <ref name="[[:Template:Gorski2005]]">[http://iopscience.iop.org/0004-637X/622/2/759/pdf/0004-637X_622_2_759.pdf '''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). RING format. It is obtained by convolving the lensing potential estimate $\hat{\phi}$ with the lensing response function $R_L^{\phi\phi}$. This map has been band-limited between multipoles $10 \le L \le 2048$.
- MASK
- This is a NSIDE = 2048 HEALPix([http://healpix.sourceforge.net Hierarchical Equal Area isoLatitude Pixelation of a sphere], <ref name="[[:Template:Gorski2005]]">[http://iopscience.iop.org/0004-637X/622/2/759/pdf/0004-637X_622_2_759.pdf '''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). map, containing the analysis mask used in the lens reconstruction. Note: the lensing map PHIBAR may take small but non-zero values inside the masked regions because it has been bandlimited.
- RLPP
- This column contains the response function $R_L^{\phi\phi}$.
- NLPP
- This column contains a sky-averaged estimate of the noise power spectrum of PHIBAR, $N_L^{\phi\phi}$. The noise is highly coloured. There is a weak dependence of the noise power spectrum with the local noise level of the map, discussed in Appendix A of #planck2013-p12. Note that the noise power spectrum estimate here is not sufficiently accurate for a power spectrum analysis.

### Production process

The construction PHIBAR, RLPP and NLPP are described in detail in Sec. 2.1 of #planck2013-p12. The response function $R_L^{\phi\phi}$ here is analogous to the the beam transfer function in a CMBCosmic Microwave background temperature or polarization map. We have chosen to distribute this transfer-function convolved map rather than the normalized lens reconstruction as it is a significantly more localized function of the CMBCosmic Microwave background temperature map from which it is derived, and therefore more useful for cross-correlation studies.

### Inputs

This product is built from the 143 and 217 GHz Planck sky maps.

### References

<biblio force=false>

</biblio>

### File names and format

A single file named

*COM_CompMap_Lensing_2048_R1.10.fits*

with two BINTABLE extensions containing the items described below.

1. EXTNAME = LENS-MAP
| ||||
---|---|---|---|---|

Column Name | Data Type | Units | Description | |

PHIBAR | Real*4 | none | Map of the lensing potential estimate, convolved with RLPP | |

MASK | Int | none | Region over which the lensing potential is reconstructed | |

Keyword | Data Type | Value | Description | |

PIXTYPE | string | HEALPIX | ||

COORDSYS | string | GALACTIC | Coordinate system | |

ORDERING | string | NESTED | Healpix ordering | |

NSIDE | Int*4 | 2048 | Healpix Nside | |

FIRSTPIX | Int*4 | 0 | ||

LASTPIX | Int*4 | 50331647 | ||

2. EXTNAME = TransFun
| ||||

Column Name | Data Type | Units | Description | |

RLPP | Real*4 | none | Response function | |

NLPP | Real*4 | none | Sky-averaged noise power spectrum estimate | |

Keyword | Data Type | Value | Description | |

L_MIN | Int*4 | 0 | First multipole | |

L_MAX | Int*4 | 2048 | Last multipole |