Abstract
This paper characterizes the effective beams, the effective beam window functions and the associated errors for the Planck High Frequency Instrument (HFI) detectors. The effective beam is the angular response including the effect of the optics, detectors, data processing and the scan strategy. The window function is the representation of this beam in the harmonic domain which is required to recover an unbiased measurement of the cosmic microwave background angular power spectrum. The HFI is a scanning instrument and its effective beams are the convolution of: a) the optical response of the telescope and feeds; b) the processing of the timeordered data and deconvolution of the bolometric and electronic transfer function; and c) the merging of several surveys to produce maps. The time response transfer functions are measured using observations of Jupiter and Saturn and by minimizing survey difference residuals. The scanning beam is the postdeconvolution angular response of the instrument, and is characterized with observations of Mars. The main beam solid angles are determined to better than 0.5% at each HFI frequency band. Observations of Jupiter and Saturn limit near sidelobes (within 5 degrees) to about 0.1% of the total solid angle. Time response residuals remain as long tails in the scanning beams, but contribute less than 0.1% of the total solid angle. The bias and uncertainty in the beam products are estimated using ensembles of simulated planet observations that include the impact of instrumental noise and known systematic effects. The correlation structure of these ensembles is welldescribed by five errors eigenmodes that are subdominant to sample variance and instrumental noise in the harmonic domain. A suite of consistency tests provide confidence that the error model represents a sufficient description of the data. The total error in the effective beam window functions is below 1% at 100 GHz up to multiple l similar to 1500, below 0.5% at 143 and 217 GHz up to l similar to 2000.
Original language  English 

Article number  A7 
Pages (fromto)  31 
Number of pages  31 
Journal  Astronomy and Astrophysics 
Volume  571 
Issue number  id. A7 
DOIs  
Publication status  Published  Nov 2014 
MoE publication type  A1 Journal articlerefereed 
Keywords
 cosmic background radiation
 cosmology: observations
 instrumentation: detectors
 surveys
 prelaunch status
 power spectrum
 mapmaking
 microwave
 calibrartion
 planets
 CMB
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Metsähovi Radio Observatory
Joni Tammi (Manager)
School of Electrical EngineeringFacility/equipment: Facility