A deconvolution map-making method for experiments with circular scanning
  strategies
  Aims. To investigate the performance of a deconvolution map-making algorithm
for an experiment with a circular scanning strategy, specifically in this case
for the analysis of Planck data, and to quantify the effects of making maps
using simplified approximations to the true beams. Methods. We present an
implementation of a map-making algorithm which allows the combined treatment of
temperature and polarisation data, and removal of instrumental effects, such as
detector time constants and finite sampling intervals, as well as the
deconvolution of arbitrarily complex beams from the maps. This method may be
applied to any experiment with a circular scanning-strategy. Results.
Low-resolution experiments were used to demonstrate the ability of this method
to remove the effects of arbitrary beams from the maps and to demonstrate the
effects on the maps of ignoring beam asymmetries. Additionally, results are
presented of an analysis of a realistic full-scale simulated data-set for the
Planck LFI 30 GHz channel. Conclusions. Our method successfully removes the
effects of the beams from the maps, and although it is computationally
expensive, the analysis of the Planck LFI data should be feasible with this
approach.
